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TRIANGULAR DECOMPOSITION

  • Triangular decomposition
  • Algorithm on systems of polynomials

    In computer algebra, a triangular decomposition of a polynomial system S is a set of simpler polynomial systems S1, ..., Se such that a point is a solution

    Triangular decomposition

    Triangular_decomposition

  • QR decomposition
  • Matrix decomposition

    In linear algebra, a QR decomposition, also known as a QR factorization or QU factorization, is a decomposition of a matrix A into a product A = QR of

    QR decomposition

    QR_decomposition

  • LU decomposition
  • Type of matrix factorization

    lower–upper (LU) decomposition or factorization factors a matrix as the product of a lower triangular matrix and an upper triangular matrix (see matrix

    LU decomposition

    LU_decomposition

  • Cholesky decomposition
  • Matrix decomposition method

    linear algebra, the Cholesky decomposition or Cholesky factorization (pronounced /ʃəˈlɛski/ shə-LES-kee) is a decomposition of a Hermitian, positive-definite

    Cholesky decomposition

    Cholesky_decomposition

  • Schur decomposition
  • Matrix factorisation in mathematics

    In linear algebra, the Schur decomposition or Schur triangulation, named after Issai Schur, is a matrix decomposition. It allows one to write an arbitrary

    Schur decomposition

    Schur_decomposition

  • Triangular matrix
  • Special kind of square matrix

    By the LU decomposition algorithm, an invertible matrix may be written as the product of a lower triangular matrix L and an upper triangular matrix U if

    Triangular matrix

    Triangular_matrix

  • Matrix decomposition
  • Representation of a matrix as a product

    can be decomposed via the LU decomposition. The LU decomposition factorizes a matrix into a lower triangular matrix L and an upper triangular matrix U

    Matrix decomposition

    Matrix decomposition

    Matrix_decomposition

  • Crout matrix decomposition
  • Type of matrix factorization

    the Crout matrix decomposition is an LU decomposition which decomposes a matrix into a lower triangular matrix (L), an upper triangular matrix (U) and,

    Crout matrix decomposition

    Crout_matrix_decomposition

  • Iwasawa decomposition
  • Mathematical process dealing with Lie groups

    written as a product of an orthogonal matrix and an upper triangular matrix (QR decomposition, a consequence of Gram–Schmidt orthogonalization). It is

    Iwasawa decomposition

    Iwasawa_decomposition

  • Bruhat decomposition
  • Mathematical term

    maximal torus of B {\displaystyle B} . The Bruhat decomposition of G {\displaystyle G} is the decomposition G = B W B = ⨆ w ∈ W B w B {\displaystyle G=BWB=\bigsqcup

    Bruhat decomposition

    Bruhat_decomposition

  • System of polynomial equations
  • Roots of multiple multivariate polynomials

    roots. This is a notable difference with triangular decompositions (even the equiprojectable decomposition), which, in general, do not preserve multiplicities

    System of polynomial equations

    System_of_polynomial_equations

  • Singular value decomposition
  • Matrix decomposition

    m\times n} ⁠ matrix. It is related to the polar decomposition. Specifically, the singular value decomposition of an m × n {\displaystyle m\times n} complex

    Singular value decomposition

    Singular value decomposition

    Singular_value_decomposition

  • Monstrous moonshine
  • Monster and modular connection

    substantially shortened by replacing the usual triangular decomposition of the Monster Lie algebra with a decomposition into a sum of gl2 and two free Lie algebras

    Monstrous moonshine

    Monstrous moonshine

    Monstrous_moonshine

  • Gram–Schmidt process
  • Orthonormalization of a set of vectors

    a full column rank matrix yields the QR decomposition (it is decomposed into an orthogonal and a triangular matrix). The vector projection of a vector

    Gram–Schmidt process

    Gram–Schmidt process

    Gram–Schmidt_process

  • Block LU decomposition
  • Type of matrix factorization

    a Block LU decomposition is a matrix decomposition of a block matrix into a lower block triangular matrix L and an upper block triangular matrix U. This

    Block LU decomposition

    Block_LU_decomposition

  • Lie group decomposition
  • Jordan–Chevalley decomposition of an element in algebraic group as a product of semisimple and unipotent elements The Bruhat decomposition G = B W B {\displaystyle

    Lie group decomposition

    Lie_group_decomposition

  • Polynomial matrix spectral factorization
  • for positive definite polynomial matrices. This decomposition also relates to the Cholesky decomposition for scalar matrices A = L L ∗ {\displaystyle A=LL^{*}}

    Polynomial matrix spectral factorization

    Polynomial_matrix_spectral_factorization

  • Complete orthogonal decomposition
  • algebra, the complete orthogonal decomposition is a matrix decomposition. It is similar to the singular value decomposition, but typically somewhat cheaper

    Complete orthogonal decomposition

    Complete_orthogonal_decomposition

  • Elimination theory
  • Part of algebraic geometry devoted to the elimination of variables between polynomials

    Buchberger's algorithm Faugère's F4 and F5 algorithms Resultant Triangular decomposition Main theorem of elimination theory Israel Gelfand, Mikhail Kapranov

    Elimination theory

    Elimination_theory

  • List of polynomial topics
  • basis Regular chain Triangular decomposition Sturm's theorem Descartes' rule of signs Carlitz–Wan conjecture Polynomial decomposition, factorization under

    List of polynomial topics

    List_of_polynomial_topics

  • Spectral theorem
  • Result about when a matrix can be diagonalized

    spaces. The spectral theorem also provides a canonical decomposition, called the spectral decomposition, of the underlying vector space on which the operator

    Spectral theorem

    Spectral_theorem

  • Differential algebra
  • Algebraic study of differential equations

    independent variables can express the differential equations. Using triangular decomposition and elimination order, it may be possible to solve the differential

    Differential algebra

    Differential_algebra

  • Squared triangular number
  • Square of a triangular number

    number theory, the sum of the first n cubes is the square of the nth triangular number. That is, 1 3 + 2 3 + 3 3 + ⋯ + n 3 = ( 1 + 2 + 3 + ⋯ + n ) 2

    Squared triangular number

    Squared triangular number

    Squared_triangular_number

  • Numerical linear algebra
  • Field of mathematics

    is a reason to favour matrix decomposition methods like using the singular value decomposition. Some matrix decomposition methods may be unstable, but

    Numerical linear algebra

    Numerical_linear_algebra

  • Wu's method of characteristic set
  • Algorithm for solving systems of polynomial equations

    On the theories of triangular sets. Journal of Symbolic Computation, 28(1–2):105–124 Hubert, E. Factorisation Free Decomposition Algorithms in Differential

    Wu's method of characteristic set

    Wu's_method_of_characteristic_set

  • Regular chain
  • Type of triangular sets of polynomial

    to a triangular system via Gaussian elimination. For the non-linear case, given a polynomial system F over a field, one can convert (decompose or triangularize)

    Regular chain

    Regular_chain

  • Eigendecomposition of a matrix
  • Matrix decomposition

    factorized is a normal or real symmetric matrix, the decomposition is called "spectral decomposition", derived from the spectral theorem. A (nonzero) vector

    Eigendecomposition of a matrix

    Eigendecomposition_of_a_matrix

  • Robert Moody
  • Canadian mathematician

    Press 1991 vol. 1 books.google with Pianzola: Lie algebras with triangular decompositions, Canadian Mathematical Society Series, John Wiley 1995 with Baake

    Robert Moody

    Robert Moody

    Robert_Moody

  • Coxeter decompositions of hyperbolic polygons
  • A Coxeter decomposition of a polygon is a decomposition into a finite number of polygons in which any two sharing a side are reflections of each other

    Coxeter decompositions of hyperbolic polygons

    Coxeter decompositions of hyperbolic polygons

    Coxeter_decompositions_of_hyperbolic_polygons

  • QR algorithm
  • Algorithm to calculate eigenvalues

    basic idea is to perform a QR decomposition, writing the matrix as a product of an orthogonal matrix and an upper triangular matrix, multiply the factors

    QR algorithm

    QR_algorithm

  • Wang Dongming (academic)
  • differential equations. In 1993 he proposed an elimination method for triangular decomposition of polynomial systems, which has been referred to as Wang's method

    Wang Dongming (academic)

    Wang_Dongming_(academic)

  • Apollonian network
  • Graph formed by subdivision of triangles

    MR 1045921. Elcock, E. W.; Gargantini, I.; Walsh, T. R. (1987), "Triangular decomposition", Image and Vision Computing, 5 (3): 225–231, doi:10.1016/0262-8856(87)90053-9

    Apollonian network

    Apollonian network

    Apollonian_network

  • Regular semi-algebraic system
  • particular kind of triangular system of multivariate polynomials over a real closed field. Regular chains and triangular decompositions are fundamental and

    Regular semi-algebraic system

    Regular_semi-algebraic_system

  • Variance decomposition of forecast errors
  • of multivariate time series analysis, a variance decomposition or forecast error variance decomposition (FEVD) is used to aid in the interpretation of a

    Variance decomposition of forecast errors

    Variance_decomposition_of_forecast_errors

  • Triangular array
  • Numbers arranged in a triangle

    In mathematics and computing, a triangular array of numbers, polynomials, or the like, is a doubly indexed sequence in which each row is only as long as

    Triangular array

    Triangular array

    Triangular_array

  • E. E. Rehmus
  • American linguist

    Gradual and triangular decomposition of the magical formula "Abracadabra"

    E. E. Rehmus

    E._E._Rehmus

  • Outline of linear algebra
  • 1)-matrix Bohemian matrices Matrix decomposition Cholesky decomposition LU decomposition QR decomposition Polar decomposition Reducing subspace Spectral theorem

    Outline of linear algebra

    Outline_of_linear_algebra

  • Operator theory
  • Mathematical study of linear operators

    spectral theorem also provides a canonical decomposition, called the spectral decomposition, eigenvalue decomposition, or eigendecomposition, of the underlying

    Operator theory

    Operator_theory

  • Hessenberg matrix
  • Kind of square matrix in linear algebra

    superdiagonal. They are named after Karl Hessenberg. A Hessenberg decomposition is a matrix decomposition of a matrix A {\displaystyle A} into a unitary matrix P

    Hessenberg matrix

    Hessenberg_matrix

  • Voronoi diagram
  • Type of plane partition

    Georgy Voronoy, and is also called a Voronoi tessellation, a Voronoi decomposition, a Voronoi partition, or a Dirichlet tessellation (after Peter Gustav

    Voronoi diagram

    Voronoi diagram

    Voronoi_diagram

  • Orthogonal matrix
  • Real square matrix whose columns and rows are orthogonal unit vectors

    important matrix decompositions involve orthogonal matrices, including especially: QR decomposition M = QR, Q orthogonal, R upper triangular Singular value

    Orthogonal matrix

    Orthogonal_matrix

  • Totopo
  • Oaxacan nixtamalized corn flatbread

    Totopo, in Mexican cuisine, is a flat, round, or triangular corn item similar to a tortilla, that has been toasted, fried or baked, and prepared with nixtamalized

    Totopo

    Totopo

    Totopo

  • Normal matrix
  • Matrix that commutes with its conjugate transpose

    decomposition which holds for all square matrices. Let A be a square matrix. Then by Schur decomposition it is unitary similar to an upper-triangular

    Normal matrix

    Normal_matrix

  • Square root of a matrix
  • Mathematical operation

    diagonalizability, has a Schur decomposition given by A = Q U Q ∗ {\displaystyle A=QUQ^{*}} where U {\displaystyle U} is upper triangular and Q {\displaystyle Q}

    Square root of a matrix

    Square_root_of_a_matrix

  • Numerical methods for linear least squares
  • equations are easily solved as R is upper triangular. An alternative decomposition of X is the singular value decomposition (SVD) X = U Σ V T   {\displaystyle

    Numerical methods for linear least squares

    Numerical_methods_for_linear_least_squares

  • Generalized singular value decomposition
  • Name of two different techniques based on the singular value decomposition

    generalized singular value decomposition (GSVD) is the name of two different techniques based on the singular value decomposition (SVD). The two versions

    Generalized singular value decomposition

    Generalized_singular_value_decomposition

  • Hilbert–Huang transform
  • Signal analysis tool

    result of the empirical mode decomposition (EMD) and the Hilbert spectral analysis (HSA). The HHT uses the EMD method to decompose a signal into so-called

    Hilbert–Huang transform

    Hilbert–Huang_transform

  • Incomplete LU factorization
  • Concept in numerical linear algebra

    A = L U {\displaystyle A=LU} , with L lower unitriangular and U upper triangular. One then solves L y = b {\displaystyle Ly=b} , U x = y {\displaystyle

    Incomplete LU factorization

    Incomplete_LU_factorization

  • Complexification (Lie group)
  • Universal construction of a complex Lie group from a real Lie group

    Gauss decomposition is a generalization of the LU decomposition for the general linear group and a specialization of the Bruhat decomposition. For GL(V)

    Complexification (Lie group)

    Complexification (Lie group)

    Complexification_(Lie_group)

  • Pentagonal number
  • Figurate number

    A pentagonal number is a figurate number that extends the concept of triangular and square numbers to the pentagon, but, unlike the first two, the patterns

    Pentagonal number

    Pentagonal number

    Pentagonal_number

  • Symmetric matrix
  • Matrix equal to its transpose

    of a symmetric and a skew-symmetric matrix. This decomposition is known as the Toeplitz decomposition. Let Mat n {\displaystyle {\mbox{Mat}}_{n}} denote

    Symmetric matrix

    Symmetric matrix

    Symmetric_matrix

  • Hexagon
  • Shape with six sides

    evenly many sides, in which case the parallelograms are all rhombi. This decomposition of a regular hexagon is based on a Petrie polygon projection of a cube

    Hexagon

    Hexagon

    Hexagon

  • Conway polyhedron notation
  • Method of describing higher-order polyhedra

    construction. The GC construction can be thought of as taking a triangular section of a triangular lattice, or a square section of a square lattice, and laying

    Conway polyhedron notation

    Conway polyhedron notation

    Conway_polyhedron_notation

  • Definite matrix
  • Property of a mathematical matrix

    {\displaystyle M^{\frac {1}{2}}} for any such decomposition, or specifically for the Cholesky decomposition, or any decomposition of the form M = B B ; {\displaystyle

    Definite matrix

    Definite_matrix

  • Wedge (geometry)
  • Polyhedron defined by two triangles and three trapezoid faces

    equal in length, and the triangular faces are perpendicular to the rectangular base. Wedges can be created from decomposition of other polyhedra. For instance

    Wedge (geometry)

    Wedge (geometry)

    Wedge_(geometry)

  • Moore–Penrose inverse
  • Most widely known generalized inverse of a matrix

    Cholesky decomposition may be computed without forming ⁠ A ∗ A {\displaystyle A^{*}A} ⁠ explicitly, by alternatively using the QR decomposition of A = Q

    Moore–Penrose inverse

    Moore–Penrose_inverse

  • Herschel graph
  • Bipartite non-Hamiltonian polyhedral graph

    of a polyhedral graph for which the medial graph has no Hamiltonian decomposition into two edge-disjoint Hamiltonian cycles. The medial graph of the Herschel

    Herschel graph

    Herschel graph

    Herschel_graph

  • Jinkichi Tsukui
  • Japanese economist

    David Simpson used an algorithm he developed to identify block triangularity (decomposability of input-output matrices) in the input-output tables of Japan

    Jinkichi Tsukui

    Jinkichi_Tsukui

  • Ideal polyhedron
  • Shape in hyperbolic geometry

    way. The Epstein–Penner decomposition, a construction of D. B. A. Epstein and R. C. Penner (1988), can be used to decompose any cusped hyperbolic 3-manifold

    Ideal polyhedron

    Ideal polyhedron

    Ideal_polyhedron

  • Toeplitz matrix
  • Matrix with shifting rows

    decomposed (i.e. factored) in O ( n 2 ) {\displaystyle O(n^{2})} time. The Bareiss algorithm for an LU decomposition is stable. An LU decomposition gives

    Toeplitz matrix

    Toeplitz_matrix

  • Rule 90
  • Elementary cellular automaton

    configuration remains random at each time step. Its time-space diagram forms many triangular "windows" of different sizes, patterns that form when a consecutive row

    Rule 90

    Rule 90

    Rule_90

  • Jordan normal form
  • Form of a matrix indicating its eigenvalues and their algebraic multiplicities

    form Frobenius normal form Jordan matrix Jordan–Chevalley decomposition Matrix decomposition Modal matrix Weyr canonical form Shilov defines the term Jordan

    Jordan normal form

    Jordan_normal_form

  • Block matrix
  • Matrix defined using smaller matrices called blocks

    Block LU decomposition). An n × n {\displaystyle n\times n} matrix A {\displaystyle A} is upper block triangular (or block upper triangular) if there

    Block matrix

    Block matrix

    Block_matrix

  • 600-cell
  • Four-dimensional analog of the icosahedron

    an octahedron as in the honeycomb, fits a triangular bipyramid composed of two tetrahedra. This decomposition of the 600-cell has symmetry [10,2+,10],

    600-cell

    600-cell

    600-cell

  • Irreducible representation
  • Type of group and algebra representation

    reducible but also decomposable. Notice: Even if a representation is reducible, its matrix representation may still not be the upper triangular block form. It

    Irreducible representation

    Irreducible representation

    Irreducible_representation

  • Krohn–Rhodes theory
  • Approach to the study of finite semigroups and automata

    explicitly refer to their theorem as a "prime decomposition theorem" for automata. The components in the decomposition, however, are not prime automata (with

    Krohn–Rhodes theory

    Krohn–Rhodes_theory

  • Klein quartic
  • Compact Riemann surface of genus 3

    9833047820988736.} The Klein quartic can be decomposed into four pairs of pants by cutting along six of its systoles. This decomposition gives a symmetric set of Fenchel-Nielsen

    Klein quartic

    Klein quartic

    Klein_quartic

  • Wishart distribution
  • Generalization of gamma distribution to multiple dimensions

    distribution. A derivation of the MLE uses the spectral theorem. The Bartlett decomposition of a matrix X from a p-variate Wishart distribution with scale matrix

    Wishart distribution

    Wishart_distribution

  • Fibonacci sequence
  • Numbers obtained by adding the two previous ones

    \,001\,001\,002\,003\,005\,008\,013\,\ldots .} The partial fraction decomposition is given by s ( z ) = 1 5 ( 1 1 − φ z − 1 1 − ψ z ) {\displaystyle s(z)={\frac

    Fibonacci sequence

    Fibonacci sequence

    Fibonacci_sequence

  • Comparison of linear algebra libraries
  • generalized factorizations) EVP – eigenvalue problems SVD – singular value decomposition GEVP – generalized EVP GSVD – generalized SVD Bochkanov, S., & Bystritsky

    Comparison of linear algebra libraries

    Comparison_of_linear_algebra_libraries

  • Determinant
  • In mathematics, invariant of square matrices

    are referred to as decomposition methods. Examples include the LU decomposition, the QR decomposition or the Cholesky decomposition (for positive definite

    Determinant

    Determinant

  • Birkhoff factorization
  • Matrix decomposition in mathematics

    factorization or Birkhoff decomposition, introduced by George David Birkhoff (1909), is a generalization of the LU decomposition (i.e. Gauss elimination)

    Birkhoff factorization

    Birkhoff_factorization

  • Generalized eigenvector
  • Vector satisfying some of the criteria of an eigenvector

    functions of nondiagonalizable matrices. (See Matrix function#Jordan decomposition.) Consider the problem of solving the system of linear ordinary differential

    Generalized eigenvector

    Generalized_eigenvector

  • T-norm
  • Fuzzy logic concept

    In mathematics, a t-norm (also T-norm or, unabbreviated, triangular norm) is a kind of binary operation used in the framework of probabilistic metric spaces

    T-norm

    T-norm

  • Unipotent
  • Algebraic term

    diagonal matrix and an upper triangular one, which is (more or less) the multiplicative version of the Jordan–Chevalley decomposition. There is also a version

    Unipotent

    Unipotent

  • Clebsch–Gordan coefficients
  • Coefficients in angular momentum eigenstates of quantum systems

    particularly of compact Lie groups, to perform the explicit direct sum decomposition of the tensor product of two irreducible representations (i.e., a reducible

    Clebsch–Gordan coefficients

    Clebsch–Gordan_coefficients

  • Schubert calculus
  • Branch of algebraic geometry

    questions are involved in the Bruhat decomposition and classification of parabolic subgroups (as block triangular matrices). Schubert calculus can be constructed

    Schubert calculus

    Schubert_calculus

  • Bartels–Stewart algorithm
  • Algorithm in numerical linear algebra

    Hessenberg–Schur algorithm replaces the decomposition R = U T A U {\displaystyle R=U^{T}AU} in step 1 with the decomposition H = Q T A Q {\displaystyle H=Q^{T}AQ}

    Bartels–Stewart algorithm

    Bartels–Stewart_algorithm

  • Walsh matrix
  • Orthogonal matrix

    LDU decomposition of a Hadamard matrix. The ones in the triangular matrices form Sierpinski triangles. The entries of the diagonal matrix are values from

    Walsh matrix

    Walsh matrix

    Walsh_matrix

  • Characteristic polynomial
  • Polynomial whose roots are the eigenvalues of a matrix

    repeated. Moreover, the Jordan decomposition theorem guarantees that any square matrix A {\displaystyle A} can be decomposed as A = S − 1 U S , {\displaystyle

    Characteristic polynomial

    Characteristic_polynomial

  • Polygonal number
  • Type of figurate number

    properties of oblong, triangular, and square numbers. The number 10 for example, can be arranged as a triangle (see triangular number): But 10 cannot

    Polygonal number

    Polygonal_number

  • Incomplete Cholesky factorization
  • Approximation of a matrix's Cholesky factorization

    applying Cholesky decomposition, we observe that some zero elements in the original matrix end up being non-zero elements in the decomposed matrix, like elements

    Incomplete Cholesky factorization

    Incomplete_Cholesky_factorization

  • Generalized minimal residual method
  • Method for numerical solution of certain systems of equations

    can be computed using a QR decomposition: find an (n + 1)-by-(n + 1) orthogonal matrix Ωn and an (n + 1)-by-n upper triangular matrix R ~ n {\displaystyle

    Generalized minimal residual method

    Generalized_minimal_residual_method

  • Melon (chemistry)
  • Chemical compound

    residue produced by thermal decomposition of ammonium thiocyanate (NH4SCN) at 400 °C. Alternately, thermal decomposition of solid melem yields graphitic

    Melon (chemistry)

    Melon (chemistry)

    Melon_(chemistry)

  • 24-cell
  • Regular object in four dimensional geometry

    six meeting at each vertex, and three at each edge. Together, it has 96 triangular faces, 96 edges, and 24 vertices. Like other four-dimensional regular

    24-cell

    24-cell

    24-cell

  • Herman Wold
  • Norwegian–Swedish statistician, economist (1908–1992)

    theorem characterizing the normal distribution and developed the Wold decomposition in time series analysis. In microeconomics, Wold advanced utility theory

    Herman Wold

    Herman Wold

    Herman_Wold

  • Householder transformation
  • Concept in linear algebra

    Householder transformations can be used to calculate a QR decomposition. Consider a matrix triangularized up to column i {\displaystyle i} , then our goal is

    Householder transformation

    Householder_transformation

  • Tache Noire De La Sclerotique
  • Discolouration of the eye typically associated with corpses

    individuals who are unable to blink. Tache noire de la sclerotique presents as triangular or linear desiccation and discolouration of the conjunctiva on one or

    Tache Noire De La Sclerotique

    Tache Noire De La Sclerotique

    Tache_Noire_De_La_Sclerotique

  • Matrix (mathematics)
  • Array of numbers

    matrix decomposition or matrix factorization techniques. These techniques are of interest because they can make computations easier. The LU decomposition factors

    Matrix (mathematics)

    Matrix (mathematics)

    Matrix_(mathematics)

  • Platonic hydrocarbon
  • Organic molecule whose carbon structure is a Platonic solid

    strain, cubane is kinetically stable, due to a lack of readily available decomposition paths. Angle strain would make an octahedron highly unstable due to

    Platonic hydrocarbon

    Platonic hydrocarbon

    Platonic_hydrocarbon

  • Non-linear least squares
  • Approximation method in statistics

    easily solved as R is upper triangular. A variant of the method of orthogonal decomposition involves singular value decomposition, in which R is diagonalized

    Non-linear least squares

    Non-linear_least_squares

  • Octagon
  • Polygon shape with eight sides

    {16}. A 3D analog of the octagon can be the rhombicuboctahedron with the triangular faces on it like the replaced edges, if one considers the octagon to be

    Octagon

    Octagon

    Octagon

  • Factorization
  • (Mathematical) decomposition into a product

    one generally considers the "LUP decomposition" having a permutation matrix as its third factor. See Matrix decomposition for the most common types of matrix

    Factorization

    Factorization

    Factorization

  • Iwahori subgroup
  • Special group in linear algebra

    building B(G) of G admits a decomposition into facets. When G is quasisimple the facets are simplices and the facet decomposition gives B(G) the structure

    Iwahori subgroup

    Iwahori_subgroup

  • Eigenvalues and eigenvectors
  • Concepts from linear algebra

    orthogonal decomposition of a PSD matrix is used in multivariate analysis, where the sample covariance matrices are PSD. This orthogonal decomposition is called

    Eigenvalues and eigenvectors

    Eigenvalues_and_eigenvectors

  • Invertible matrix
  • Matrix with a multiplicative inverse

    necessary for the matrix involved to be invertible. Decomposition techniques like LU decomposition are much faster than inversion, and various fast algorithms

    Invertible matrix

    Invertible_matrix

  • Symmetric cone
  • Open convex self-dual cones

    since F = eiF. Such a decomposition into a direct sum of simple Euclidean algebras is unique. If E = ⊕ Fj is another decomposition, then Fj=⊕ eiFj. By minimality

    Symmetric cone

    Symmetric_cone

  • Givens rotation
  • Concept in numerical linear algebra

    here differs slightly from above) yield an upper triangular matrix in order to compute the QR decomposition. In order to form the desired matrix, zeroing

    Givens rotation

    Givens_rotation

  • Hermitian symmetric space
  • Manifold with inversion symmetry

    {h}}_{1}} is irreducible. This decomposition of the orthogonal symmetric Lie algebra yields a direct product decomposition of the corresponding compact

    Hermitian symmetric space

    Hermitian symmetric space

    Hermitian_symmetric_space

  • Hallucigenia
  • Genus of Cambrian animals

    preserved portion of the anatomy. This stain may be an artifact of decomposition. Since the revisions around 1990s, Hallucigenia is unquestionably a

    Hallucigenia

    Hallucigenia

    Hallucigenia

AI & ChatGPT searchs for online references containing TRIANGULAR DECOMPOSITION

TRIANGULAR DECOMPOSITION

AI search references containing TRIANGULAR DECOMPOSITION

TRIANGULAR DECOMPOSITION

  • Gore
  • Boy/Male

    British, English

    Gore

    Spear; Wedge-shaped Object; Triangular Shaped Piece of Land

    Gore

  • Garton
  • Boy/Male

    English

    Garton

    Lives in the triangular farm stead.

    Garton

  • GABLE
  • Male

    English

    GABLE

    English surname transferred to forename use, possibly originally a habitational name derived from a place named from Old Norse gafl, GABLE means "gable," a term used to denote a "triangular-shaped hill." 

    GABLE

  • Delta
  • Girl/Female

    American, Australian, Christian, Greek, Hebrew

    Delta

    Triangular River Mouth; Mouth of a River; Fourth Letter of Greek Alphabet; A Name for a Fourth Child; Fourth Letter of the Greek Alphabet

    Delta

  • Garwood
  • Surname or Lastname

    English

    Garwood

    English : habitational name from a lost or unidentified minor place, possibly in East Anglia, where the name is most common, and probably so called from Old English gāra ‘gore’, ‘triangular piece of land’ + wudu ‘wood’.

    Garwood

  • Garfield
  • Boy/Male

    African, American, Anglo, Australian, British, Christian, English, Jamaican

    Garfield

    Battlefield; Spear Field; Triangular Field

    Garfield

  • Garatun
  • Boy/Male

    American, British, English

    Garatun

    Lives in the Triangular Farm Stead

    Garatun

  • Garafeld
  • Boy/Male

    American, British, English

    Garafeld

    Battlefield; From the Triangular Field

    Garafeld

  • Garton
  • Boy/Male

    American, Anglo, Australian, British, English

    Garton

    From the Triangle Shaped Settlement; Lives in the Triangular Farm Stead

    Garton

  • Gordie
  • Boy/Male

    Anglo, Australian, British, English, French

    Gordie

    From the Cornered Hill; Hill Near Meadows; Triangular Hill

    Gordie

  • Gore
  • Surname or Lastname

    English

    Gore

    English : habitational name from any of various places, for example in Kent and Wiltshire, named Gore, from Old English gāra ‘triangular piece of land’ (a derivative of gār ‘spear’, with reference to the triangular shape of a spearhead).French : nickname for a gluttonous and idle individual, from Old French gore ‘sow’ (of allegedly imitative origin, reflecting the grunting of the animal).

    Gore

  • Gordon
  • Boy/Male

    American, Anglo, Australian, British, Chinese, Christian, Danish, English, French, German, Irish, Jamaican, Scottish

    Gordon

    Hill Near the Meadow; From the Cornered Hill; Triangular Hill; Large Fortification; From the Marshes; One of Scotland's Great Clans; Spacious Fort

    Gordon

  • Gorham
  • Surname or Lastname

    English (Kent)

    Gorham

    English (Kent) : apparently a habitational name from a lost or unidentified place, possibly so named from Old English gāra ‘triangular piece of land’ + hām ‘homestead’.Born in England, John Gorham emigrated to MA and in 1643 married Desire Howland, daughter of John Howland, who came to America on the Mayflower. His descendant Nathaniel (1738–96) was born in Charlestown, MA, and was one of the signers of the Declaration of Independence.

    Gorham

  • Garton
  • Surname or Lastname

    English

    Garton

    English : habitational name from Garton in East Yorkshire or from various minor places so named, from Old English gāra ‘triangular plot of land’ + tūn ‘farmstead’.

    Garton

  • Garafeld
  • Boy/Male

    English

    Garafeld

    From the triangular field.

    Garafeld

  • Garfield
  • Boy/Male

    English American

    Garfield

    From the triangular field. From an Old English surname and place name, meaning 'field of spears'.

    Garfield

  • Garland
  • Surname or Lastname

    English

    Garland

    English : metonymic occupational name for a maker of garlands or chaplets, perhaps also a habitational name from a house sign. The word is first attested in the 14th century, from Old French, and appears to be of Germanic origin.English : habitational name from a minor place, such as Garland in Chulmleigh, Devon, named from Old English gāra ‘triangular piece of land’ (see Gore) + land ‘cultivated land’, ‘estate’.

    Garland

  • Garfield
  • Surname or Lastname

    English

    Garfield

    English : probably a habitational name from a lost or unidentified place, generally from a field name denoting a triangular area, Old English gāra (see Gore) at the corner of an open field after rectangular furlongs had been laid out.Jewish : Americanized form of one or more like-sounding Jewish surnames.U.S. President James Abram Garfield (1831–81) was preceded by at least six Garfields born in America, his immigrant ancestor having come to Massachusetts Bay with John Winthrop in 1630.

    Garfield

  • Gorden
  • Boy/Male

    American, Australian, British, Christian, English, German

    Gorden

    Hill Near Meadows; Triangular Hill; Spacious Fort

    Gorden

  • Gordan
  • Boy/Male

    American, Anglo, Australian, British, Celtic, English, French, Gaelic, Irish, Scottish

    Gordan

    Hill Near the Meadow; Triangular Hill; Hero; Large Fortification; Fortress

    Gordan

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Online names & meanings

  • Reod
  • Boy/Male

    British, English

    Reod

    Ruddy Colored

  • Fabia
  • Girl/Female

    Australian, French, German, Italian, Latin, Portuguese, Swiss

    Fabia

    Bean Farmer; Form of Fabian

  • Wahidpreet
  • Boy/Male

    Indian, Punjabi, Sikh

    Wahidpreet

    Unique Love

  • EVERETTE
  • Female

    English

    EVERETTE

    Feminine form of English Everett, EVERETTE means "strong as a boar."

  • Nosworthy
  • Surname or Lastname

    English

    Nosworthy

    English : variant of Norsworthy.

  • Vsndyke
  • Boy/Male

    Dutch

    Vsndyke

    From the dike.

  • Whitehurst
  • Surname or Lastname

    English (mainly Cheshire)

    Whitehurst

    English (mainly Cheshire) : habitational name from a place in West Staffordshire named Whitehurst, probably from Old English hwīt ‘white’ + hyrst ‘wooded hill’.

  • Dade
  • Surname or Lastname

    Irish

    Dade

    Irish : reduced form of McDade, ‘son of David’.German : from the Frisian personal name Dode, which Bahlow explains as a form derived from baby talk.English (Norfolk) : from Old English dǣd ‘deed’, ‘exploit’, probably applied as a nickname commemorating some exploit perpetrated by the bearer or for someone noted for his derring-do. Compare Deeds.

  • Amberlynn
  • Girl/Female

    Arabic English

    Amberlynn

    A jewel-quality fossilized resin; as a color the name refers to a warm honey shade.

  • Allan
  • Boy/Male

    American, Australian, British, Celtic, Chinese, Christian, Danish, English, Finnish, French, Gaelic, German, Indian, Irish, Swedish

    Allan

    Harmony; Stone; Noble; Fair; Little Rock; Handsome

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AI searchs for Acronyms & meanings containing TRIANGULAR DECOMPOSITION

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Other words and meanings similar to

TRIANGULAR DECOMPOSITION

AI search in online dictionary sources & meanings containing TRIANGULAR DECOMPOSITION

TRIANGULAR DECOMPOSITION

  • Triangularity
  • n.

    The quality or state of being triangular.

  • Triangulated
  • imp. & p. p.

    of Triangulate

  • Triangular
  • a.

    Having three angles; having the form of a triangle.

  • Hexoctahedron
  • n.

    A solid having forty-eight equal triangular faces.

  • Biangulated
  • a.

    Biangular.

  • Triangular
  • a.

    Oblong or elongated, and having three lateral angles; as, a triangular seed, leaf, or stem.

  • Burr
  • n.

    A triangular chisel.

  • Triangulate
  • v. t.

    To divide into triangles; specifically, to survey by means of a series of triangles properly laid down and measured.

  • Triangularly
  • adv.

    In a triangular manner; in the form of a triangle.

  • Scalene
  • a.

    Designating several triangular muscles called scalene muscles.

  • Biangulous
  • a.

    Biangular.

  • Triangled
  • a.

    Having three angles; triangular.

  • Triangulares
  • n. pl.

    The triangular, or maioid, crabs. See Illust. under Maioid, and Illust. of Spider crab, under Spider.

  • Deltoid
  • a.

    Shaped like the Greek / (delta); delta-shaped; triangular.

  • Didal
  • n.

    A kind of triangular spade.

  • Trigon
  • n.

    A kind of triangular lyre or harp.

  • Gore
  • v.

    A small traingular piece of land.

  • Triangulate
  • v. t.

    To make triangular, or three-cornered.

  • Triangulating
  • p. pr. & vb. n.

    of Triangulate

  • Subtriangular
  • a.

    Nearly, but not perfectly, triangular.