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Function used as a performance test problem for optimization algorithms
In mathematical optimization, the Rosenbrock function is a non-convex function, introduced by Howard H. Rosenbrock in 1960, which is used as a performance
Rosenbrock_function
Mathematical function with convex lower level sets
case for functions with multiple arguments. For example, the 2-dimensional Rosenbrock function is unimodal but not quasiconvex and functions with star-convex
Quasiconvex_function
Methods in numerical computation
Rosenbrock methods refers to either of two distinct ideas in numerical computation, both named for Howard H. Rosenbrock. Rosenbrock methods for stiff
Rosenbrock_methods
Function specifying the behavior of a component in an electronic or control system
Optical transfer function Proper transfer function Rosenbrock system matrix Semi-log plot Signal-flow graph Signal transfer function Bernd Girod, Rudolf
Transfer_function
Numerical optimization algorithm
Nelder–Mead (Downhill Simplex) explanation and visualization with the Rosenbrock banana function John Burkardt: Nelder–Mead code in Matlab - note that a variation
Nelder–Mead_method
Functions used to evaluate optimization algorithms
In applied mathematics, test functions, known as artificial landscapes, are useful to evaluate characteristics of optimization algorithms, such as convergence
Test functions for optimization
Test_functions_for_optimization
Subset of evolutionary computation
over a constrained Rosenbrock function with bounded global optimum A two-population EA search over a constrained Rosenbrock function. Global optimum is
Evolutionary_algorithm
state-space representation and transfer function matrix form. It was proposed in 1967 by Howard H. Rosenbrock. Consider the dynamic system x ˙ = A x +
Rosenbrock_system_matrix
known as Rosenbrock methods. The Rosenbrock function is a benchmark test for numerical optimization algorithms. Rosenbrock function Rosenbrock system matrix
Howard_Harry_Rosenbrock
Monte Carlo algorithm
proposal function is symmetric, is described below. Metropolis algorithm (symmetric proposal distribution) Let f ( x ) {\displaystyle f(x)} be a function that
Metropolis–Hastings_algorithm
Class of numerical methods
linear multistep methods or a variety of other options. Exponential Rosenbrock methods were shown to be very efficient in solving large systems of stiff
Exponential_integrator
Improvement of the coordinate descent algorithm
non-separable functions. The following figure illustrates the convergence of both algorithms on 2-dimensional Rosenbrock function up to a target function value
Adaptive_coordinate_descent
concepts: Barrier function Penalty method Trust region Test functions for optimization: Rosenbrock function — two-dimensional function with a banana-shaped
List of numerical analysis topics
List_of_numerical_analysis_topics
an efficient algorithm for bound constrained global optimization using function values only. To do so, the n-dimensional search space is represented by
MCS_algorithm
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% function [Cost] = RosenbrockCost(x) % Compute the Rosenbrock function value of each element in x NumberOfDimensions
Biogeography-based optimization
Biogeography-based_optimization
square H-infinity loop-shaping Linear-quadratic-Gaussian control (LQG) Rosenbrock system matrix Zames, George (1981). "Feedback and optimal sensitivity:
H-infinity methods in control theory
H-infinity_methods_in_control_theory
Mathematical model of a system in control engineering
systems. The Rosenbrock system matrix provides a bridge between the state-space representation and its transfer function. Any given transfer function which is
State-space_representation
Method of mathematical optimization
optimal solution is ever found. DE is used for multidimensional real-valued functions but does not use the gradient of the problem being optimized, which means
Differential_evolution
Chemical compound
191–201. doi:10.1016/S2215-0366(20)30513-7. PMID 33610228. S2CID 231986987. Rosenbrock H, Desch M, Kleiner O, Dorner-Ciossek C, Schmid B, Keller S, et al. (November
Iclepertin
Differential equations involving stochastic processes
the Euler–Maruyama method, Milstein method, Runge–Kutta method (SDE), Rosenbrock method, and methods based on different representations of iterated stochastic
Stochastic differential equation
Stochastic_differential_equation
Chemical compound
Tyrone D.; Ruhrmann, Stephan; Mathalon, Daniel H.; McGuire, Philip; Rosenbrock, Holger; Daniels, Kristen; Cotton, Daniel; Roy, Dooti; Pollentier, Stephane;
Osoresnontrine
Java toolkit
representations Five pre-done vector application problem domains (sum, rosenbrock, sphere, step, noisy-quartic) Other Representations: NEAT Multiset-based
Java Evolutionary Computation Toolkit
Java_Evolutionary_Computation_Toolkit
Mental disorder involving eccentricity and social isolation in afflicted individuals
PMID 21159728. Pekcec A, Schülert N, Stierstorfer B, Deiana S, Dorner-Ciossek C, Rosenbrock H (July 2018). "Targeting the dopamine D1 receptor or its downstream signalling
Schizotypal personality disorder
Schizotypal_personality_disorder
Functions for calculating potential energy
Bibcode:2021EPJB...94..142B. doi:10.1140/epjb/s10051-021-00156-1. ISSN 1434-6036. Rosenbrock, Conrad W.; Gubaev, Konstantin; Shapeev, Alexander V.; Pártay, Livia B
Interatomic_potential
Java based systems biology simulator library
Equation Automatic) for the simulation of models containing general ODEs Rosenbrock solver for the integration of stiff differential equation systems Several
SBSCL
Office skyscraper in Manhattan, New York
December 30, 2016. Retrieved March 8, 2020. Stephen S. Lash and Ellen Rosenbrock (September 1971). National Register of Historic Places Registration: New
Manhattan_Municipal_Building
Prize (1995), Richard E. Bellman Control Heritage Award (2003) Howard H. Rosenbrock University of Manchester Institute of Science and Technology British 1920–2010
List of people in systems and control
List_of_people_in_systems_and_control
Structural engineering
solved using, for example, the Livermore predictor-corrector method, the Rosenbrock methods or the 4th/5th-order Runge–Kutta method. The latter method is
Bouc–Wen_model_of_hysteresis
Australian government agency
2016. Archived from the original on 2018-05-08. Retrieved 2017-01-04. Rosenbrock, C. (2001). "Australian Institute of Family Studies: The first 21 years"
Australian Institute of Family Studies
Australian_Institute_of_Family_Studies
1928) Julian Roberts, librarian (b. 1930) 21 October – Howard Harry Rosenbrock, electrical engineer (b. 1920) 22 October – Bill Henderson, politician
2010_in_the_United_Kingdom
ROSENBROCK FUNCTION
ROSENBROCK FUNCTION
Male
Egyptian
, an Egyptian functionary.
Surname or Lastname
English
English : topographic name for someone who lived by the gates of a medieval walled town. The Middle English singular gate is from the Old English plural, gatu, of geat ‘gate’ (see Yates). Since medieval gates were normally arranged in pairs, fastened in the center, the Old English plural came to function as a singular, and a new Middle English plural ending in -s was formed. In some cases the name may refer specifically to the Sussex place Eastergate (i.e. ‘eastern gate’), known also as Gates in the 13th and 14th centuries, when surnames were being acquired.Americanized spelling of German Götz (see Goetz).Translated form of French Barrière (see Barriere).In New England, Gates was the preferred English version of the name of an extensive French family, called Barrière dit Langevin.
Male
Egyptian
, Functionary of the Interior.
Male
Egyptian
, a high Egyptian functionary.
Surname or Lastname
English
English : occupational name for a dresser of cloth, Old English fullere (from Latin fullo, with the addition of the English agent suffix). The Middle English successor of this word had also been reinforced by Old French fouleor, foleur, of similar origin. The work of the fuller was to scour and thicken the raw cloth by beating and trampling it in water. This surname is found mostly in southeast England and East Anglia. See also Tucker and Walker.In a few cases the name may be of German origin with the same form and meaning as 1 (from Latin fullare).Americanized version of French Fournier.Samuel Fuller (1589–1633), born in Redenhall, Norfolk, England, was among the Pilgrim Fathers who sailed on the Mayflower in 1620. He was a deacon of the church and until his death functioned as Plymouth Colony’s physician.
Male
Egyptian
, the son of the functionary Heknofre.
Surname or Lastname
English (chiefly Kent and Sussex)
English (chiefly Kent and Sussex) : occupational name for a designer or engineer, from a Middle English reduced form of Old French engineor ‘contriver’ (a derivative of engaigne ‘cunning’, ‘ingenuity’, ‘stratagem’, ‘device’). Engineers in the Middle Ages were primarily designers and builders of military machines, although in peacetime they might turn their hands to architecture and other more pacific functions.German : from the Latin personal name Januarius (see January 1). Jänner is a South German word for ‘January’, and so it is possible that this is one of the surnames acquired from words denoting months of the year, for example by converts who had been baptized in that month, people who were born or baptized in that month, or people whose taxes were due in January.
Surname or Lastname
English
English : nickname from the animal, Middle English catte ‘cat’. The word is found in similar forms in most European languages from very early times (e.g. Gaelic cath, Slavic kotu). Domestic cats were unknown in Europe in classical times, when weasels fulfilled many of their functions, for example in hunting rodents. They seem to have come from Egypt, where they were regarded as sacred animals.English : from a medieval female personal name, a short form of Catherine.Variant spelling of German and Dutch Katt.
Male
Celtic
, great justiciary, or functionary.
Biblical
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Boy/Male
Buddhist, Indian, Japanese
Mysterious Function
Male
Egyptian
, a great functionary.
Male
Egyptian
, an Egyptian functionary.
ROSENBROCK FUNCTION
ROSENBROCK FUNCTION
Girl/Female
Australian, British, Danish, English, French, German, Italian, Portuguese, Teutonic
Heroine; Renowned Battle; Famous Warrior / Battle
Girl/Female
Indian
Lord Shiva
Boy/Male
Celtic American English
Handsome.
Girl/Female
Tamil
Friendly
Surname or Lastname
French and English
French and English : topographic name for someone who lived by a fortified stronghold, Old French, Middle English motte. The surname may also be a habitational name from any of the places in France named with this word.English : variant spelling of Mott 2.German : habitational name from Motte in the Saarland or Motten in Bavaria.The settlement that became the city of Detroit was founded in 1701 by Antoine de la Mothe, Sieur de Cadillac (1658–1730), governor of LA. He was born into the minor nobility in Gascony, France, where his father owned the seigneury of Cadillac.
Female
English
 Anglicized form of Hebrew No'omiy, NAOMI means "my delight, my pleasantness." In the bible, this is the name of the mother-in-law of Ruth. Compare with another form of Naomi.
Girl/Female
Indian
Leader, Successful
Surname or Lastname
English
English : habitational name from a place in Lancashire, so named from Old English gor ‘dirt’, ‘mud’ + tūn ‘enclosure’, ‘settlement’.Introduced in America by a family from Gorton, Lancashire, England (three miles from Manchester), the name Gorton was also adopted by a religious group known as the Gortonites. They were followers of Samuel Gorton (c. 1592–1677), whose unorthodox religious beliefs, which included denying the doctrine of the Trinity, caused him to seek religious toleration by emigrating to Boston in 1637 with his family. In conflict with authorities in Massachusetts Bay, Plymouth, and Newport, he eventually settled in Shawomet, RI, and renamed it Warwick. He died there in 1677, leaving three sons and at least six daughters.
Boy/Male
American, Anglo, Australian, British, English, Gaelic, Irish
Watch Tower; Tower; Little Hills
Boy/Male
Scottish Irish
Black.
ROSENBROCK FUNCTION
ROSENBROCK FUNCTION
ROSENBROCK FUNCTION
ROSENBROCK FUNCTION
ROSENBROCK FUNCTION
n.
The appropriate action of any special organ or part of an animal or vegetable organism; as, the function of the heart or the limbs; the function of leaves, sap, roots, etc.; life is the sum of the functions of the various organs and parts of the body.
a.
Of, pertaining to, or designating, certain secret tribunals which flourished in Germany from the end of the 12th century to the middle of the 16th, usurping many of the functions of the government which were too weak to maintain law and order, and inspiring dread in all who came within their jurisdiction.
n.
The doctrine that all the functions of a living organism are due to an unknown vital principle distinct from all chemical and physical forces.
n.
A quantity so connected with another quantity, that if any alteration be made in the latter there will be a consequent alteration in the former. Each quantity is said to be a function of the other. Thus, the circumference of a circle is a function of the diameter. If x be a symbol to which different numerical values can be assigned, such expressions as x2, 3x, Log. x, and Sin. x, are all functions of x.
v. t.
To assign to some function or office.
a.
Pertaining to, or connected with, a function or duty; official.
v. i.
Alt. of Functionate
n.
One deputed or authorized to perform the functions of another; a substitute in office; a deputy.
pl.
of Functionary
a.
Belonging or relating to life, either animal or vegetable; as, vital energies; vital functions; vital actions.
v. i.
To execute or perform a function; to transact one's regular or appointed business.
a.
Destitute of function, or of an appropriate organ. Darwin.
a.
Having relation to growth or nutrition; partaking of simple growth and enlargement of the systems of nutrition, apart from the sensorial or distinctively animal functions; vegetal.
n.
One charged with the performance of a function or office; as, a public functionary; secular functionaries.
a.
Of or pertaining to the vessels of animal and vegetable bodies; as, the vascular functions.
prep.
Acting as a substitute; -- said of abnormal action which replaces a suppressed normal function; as, vicarious hemorrhage replacing menstruation.
n.
Fig.: Any cavity, or hollow place, in which any function may be conceived of as operating.
adv.
In a functional manner; as regards normal or appropriate activity.
a.
Pertaining to the function of an organ or part, or to the functions in general.
n.
A certain function relating to a system of forces and their points of application, -- first used by Clausius in the investigation of problems in molecular physics.