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MINPACK
MINPACK is a library of FORTRAN subroutines for the solving of Nonlinear system, systems of nonlinear equations, or the least-squares minimization of the residual of a set of System of linear equations, linear or nonlinear equations. MINPACK, along with other similar libraries such as LINPACK and EISPACK, originated from the Mathematics and Computer Science Division Software (MCS) of Argonne National Laboratory. Written by Jorge J. Moré, Jorge Moré, Burt Garbow, and Ken Hillstrom, MINPACK is free and designed to be highly Software portability, portable, robust and reliable. The quality of its implementation of the Levenberg–Marquardt algorithm is attested by Dennis and Schnabel. Five algorithmic paths each include a core subroutine and a driver routine. The algorithms proceed either from an analytic specification of the Jacobian matrix or directly from the problem functions. The paths include facilities for systems of equations with a band matrix, banded Jacobian matrix, for lea ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
EISPACK
EISPACK is a software library for numerical computation of eigenvalues and eigenvectors of matrices, written in FORTRAN. It contains subroutines for calculating the eigenvalues of nine classes of matrices: complex general, complex Hermitian, real general, real symmetric, real symmetric banded, real symmetric tridiagonal, special real tridiagonal, generalized real, and generalized real symmetric matrices. In addition it includes subroutines to perform a singular value decomposition. Originally written around 1972–1973, EISPACK, like LINPACK and MINPACK, originated from Argonne National Laboratory, has always been free, and aims to be portable Portable may refer to: General * Portable building, a manufactured structure that is built off site and moved in upon completion of site and utility work * Portable classroom, a temporary building installed on the grounds of a school to provide ..., robust and reliable. The library drew heavily on algorithms developed by James ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nonlinear System
In mathematics and science, a nonlinear system is a system in which the change of the output is not proportional to the change of the input. Nonlinear problems are of interest to engineers, biologists, physicists, mathematicians, and many other scientists because most systems are inherently nonlinear in nature. Nonlinear dynamical systems, describing changes in variables over time, may appear chaotic, unpredictable, or counterintuitive, contrasting with much simpler linear systems. Typically, the behavior of a nonlinear system is described in mathematics by a nonlinear system of equations, which is a set of simultaneous equations in which the unknowns (or the unknown functions in the case of differential equations) appear as variables of a polynomial of degree higher than one or in the argument of a function which is not a polynomial of degree one. In other words, in a nonlinear system of equations, the equation(s) to be solved cannot be written as a linear combination of t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Least-squares
The method of least squares is a standard approach in regression analysis to approximate the solution of overdetermined systems (sets of equations in which there are more equations than unknowns) by minimizing the sum of the squares of the residuals (a residual being the difference between an observed value and the fitted value provided by a model) made in the results of each individual equation. The most important application is in data fitting. When the problem has substantial uncertainties in the independent variable (the ''x'' variable), then simple regression and least-squares methods have problems; in such cases, the methodology required for fitting errors-in-variables models may be considered instead of that for least squares. Least squares problems fall into two categories: linear or ordinary least squares and nonlinear least squares, depending on whether or not the residuals are linear in all unknowns. The linear least-squares problem occurs in statistical regression ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
System Of Linear Equations
In mathematics, a system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables. For example, :\begin 3x+2y-z=1\\ 2x-2y+4z=-2\\ -x+\fracy-z=0 \end is a system of three equations in the three variables . A solution to a linear system is an assignment of values to the variables such that all the equations are simultaneously satisfied. A solution to the system above is given by the ordered triple :(x,y,z)=(1,-2,-2), since it makes all three equations valid. The word "system" indicates that the equations are to be considered collectively, rather than individually. In mathematics, the theory of linear systems is the basis and a fundamental part of linear algebra, a subject which is used in most parts of modern mathematics. Computational algorithms for finding the solutions are an important part of numerical linear algebra, and play a prominent role in engineering, physics, chemistry, computer science, and economics. A sy ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Argonne National Laboratory
Argonne National Laboratory is a science and engineering research national laboratory operated by UChicago Argonne LLC for the United States Department of Energy. The facility is located in Lemont, Illinois, outside of Chicago, and is the largest national laboratory by size and scope in the Midwest. Argonne had its beginnings in the Metallurgical Laboratory of the University of Chicago, formed in part to carry out Enrico Fermi's work on nuclear reactors for the Manhattan Project during World War II. After the war, it was designated as the first national laboratory in the United States on July 1, 1946. In the post-war era the lab focused primarily on non-weapon related nuclear physics, designing and building the first power-producing nuclear reactors, helping design the reactors used by the United States' nuclear navy, and a wide variety of similar projects. In 1994, the lab's nuclear mission ended, and today it maintains a broad portfolio in basic science research, e ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jorge J
Jorge is a Spanish and Portuguese given name. It is derived from the Greek name Γεώργιος (''Georgios'') via Latin ''Georgius''; the former is derived from (''georgos''), meaning "farmer" or "earth-worker". The Latin form ''Georgius'' had been rarely given in Western Christendom since at least the 6th century. The popularity of the name however develops from around the 12th century, in Occitan in the form ''Jordi'', and it becomes popular at European courts after the publication of the ''Golden Legend'' in the 1260s. The West Iberian form ''Jorge'' is on record as the name of Jorge de Lencastre, Duke of Coimbra (1481–1550). List of people with the given name Jorge * Jorge (footballer, born 1946), Brazilian footballer * Jorge (Brazilian singer), Brazilian musician and singer, Jorge & Mateus * Jorge (Romanian singer), real name George Papagheorghe, Romanian singer, actor, TV host * Jorge Betancourt, Cuban diver * Jorge Campos, Mexican football player * Jorge Cantú ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Burt Garbow
Burt is a given name and also a shortened form of other names, such as Burton and Herbert, or a place name. Burt may refer to: People *Burt Alvord (1866–after 1910), American Old West lawman and outlaw *Burt Bacharach (born 1928), American composer, music producer and pianist *Burt Baskin (1913–1967), co-founder of the Baskin-Robbins ice cream parlor chain *Burt Caesar, British actor, broadcaster and director * Burt Grossman (born 1967), National Football League player *Burt Hooton (born 1950), American former Major League Baseball pitcher and coach *Burt Kennedy (1922–2001), American screenwriter and director *Burt Kwouk (born 1930–2016), English actor best known for playing Cato in the Pink Panther films *Burt Lancaster (1913–1994), American film actor *Burt Munro (1899–1978), New Zealand motorcycle racer *Burt Mustin (1884–1977), American character actor *Burt Reynolds (1936–2018), American actor and director *Burt Rutan (born 1943), American aerospace engineer ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ken Hillstrom
Ken or KEN may refer to: Entertainment * ''Ken'' (album), a 2017 album by Canadian indie rock band Destroyer. * ''Ken'' (film), 1964 Japanese film. * ''Ken'' (magazine), a large-format political magazine. * Ken Masters, a main character in the ''Street Fighter'' franchise. People * Ken (given name), a list of people named Ken * Ken (musician) (born 1968), guitarist of the Japanese rock band L'Arc-en-Ciel * Ken (SB19 musician) (born 1997), stage name of Felip Jhon Suson of the Filipino boy group, SB19 * Ken (VIXX singer) (born 1992), stage name of Lee Jae-hwan of the South Korean boy group, VIXX * Naoko Ken (born 1953), Japanese singer and actress (Ken as surname) * Thomas Ken (1637–1711), English cleric and composer * Tjungkara Ken (born 1969), Aboriginal Australian artist * Ken Zheng (born April 5, 1995) is an Indonesian actor, screenwriter and martial artist Other * Kèn, a musical instrument from Vietnam. * Ken (doll), a product by Mattel. * ''Ken'' (unit) (間), a Ja ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Software Portability
A computer program is said to be portable if there is very low effort required to make it run on different platforms. The pre-requirement for portability is the generalized abstraction between the application logic and system interfaces. When software with the same functionality is produced for several computing platforms, portability is the key issue for development cost reduction. Strategies for portability Software portability may involve: * Transferring installed program files to another computer of basically the same architecture. * Reinstalling a program from distribution files on another computer of basically the same architecture. * Building executable programs for different platforms from source code; this is what is usually understood by "porting". Similar systems When operating systems of the same family are installed on two computers with processors with similar instruction sets it is often possible to transfer the files implementing program files between them ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Levenberg–Marquardt Algorithm
In mathematics and computing, the Levenberg–Marquardt algorithm (LMA or just LM), also known as the damped least-squares (DLS) method, is used to solve non-linear least squares problems. These minimization problems arise especially in least squares curve fitting. The LMA interpolates between the Gauss–Newton algorithm (GNA) and the method of gradient descent. The LMA is more robust than the GNA, which means that in many cases it finds a solution even if it starts very far off the final minimum. For well-behaved functions and reasonable starting parameters, the LMA tends to be slower than the GNA. LMA can also be viewed as Gauss–Newton using a trust region approach. The algorithm was first published in 1944 by Kenneth Levenberg, while working at the Frankford Army Arsenal. It was rediscovered in 1963 by Donald Marquardt, who worked as a statistician at DuPont, and independently by Girard, Wynne and Morrison. The LMA is used in many software applications for solving gen ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
