Results 251 to 260 of about 681,860 (297)
Quasi- Newton Methods for Nonlinear Equations
Journal of the ACM, 1968 A unified derivation is presented of the quasi-Newton methods for solving systems of nonlinear equations. The general algorithm contains, as special cases, all of the previously proposed quasi-Newton methods.
Frank J. Zeleznik
openaire +3 more sources
Some of the next articles are maybe not open access.
Related searches:
Related searches:
Stochastic Quasi-Newton Methods
Proceedings of the IEEE, 2020Large-scale data science trains models for data sets containing massive numbers of samples. Training is often formulated as the solution of empirical risk minimization problems that are optimization programs whose complexity scales with the number of elements in the data set.
Aryan Mokhtari, Alejandro Ribeiro
openaire +1 more source
A Survey of Quasi-Newton Equations and Quasi-Newton Methods for Optimization
Annals of Operations Research, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chengxian Xu, Jianzhong Zhang 0001
openaire +1 more source
Quasi-Newton Updates with Bounds
SIAM Journal on Numerical Analysis, 1987In each step of quasi-Newton methods an improved approximate solution \(x_ k\) is determined together with a new approximation \(B_ k\) of the derivative f'. Specifically, Broyden's method yields an update \(B_{k+1}\) which is the solution of the minimum problem: \(\min \{\| B-B_ k\|_ F: Bs_ k=y_ k\}.\) Here \(y_ k\) and \(s_ k\) are vectors which are ...
Calamai, Paul H., Moré, Jorge J.
openaire +1 more source
Approximate quasi-Newton methods
Mathematical Programming, 1990Newton-like iterative methods for nonlinear equations on Banach spaces are considered. It is proved how the local convergence behaviour of the quasi-Newton method in the infinite dimensional setting is affected by the refinement strategy. Applications to boundary value problems and integral equations are included.
C. T. Kelley, Ekkehard W. Sachs
openaire +1 more source
On an accelerating quasi-newton circular iteration
Applied Mathematics and Computation, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fangyu Sun, Xiangfang Li
openaire +2 more sources
A Classification of Quasi-Newton Methods
Numerical Algorithms, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
2021
In Chap. 6, multidimensional optimization methods were considered in which the search for the minimizer is carried out by using a set of conjugate directions. An important feature of some of these methods (e.g., the Fletcher–Reeves and Powell’s methods) is that explicit expressions for the second derivatives of \(f(\mathbf{x})\) are not required ...
Andreas Antoniou, Wu-Sheng Lu
openaire +1 more source
In Chap. 6, multidimensional optimization methods were considered in which the search for the minimizer is carried out by using a set of conjugate directions. An important feature of some of these methods (e.g., the Fletcher–Reeves and Powell’s methods) is that explicit expressions for the second derivatives of \(f(\mathbf{x})\) are not required ...
Andreas Antoniou, Wu-Sheng Lu
openaire +1 more source
2008
In this chapter we take another approach toward the development of methods lying somewhere intermediate to steepest descent and Newton’s method. Again working under the assumption that evaluation and use of the Hessian matrix is impractical or costly, the idea underlying quasi-Newton methods is to use an approximation to the inverse Hessian in place of
David G. Luenberger, Yinyu Ye
openaire +2 more sources
In this chapter we take another approach toward the development of methods lying somewhere intermediate to steepest descent and Newton’s method. Again working under the assumption that evaluation and use of the Hessian matrix is impractical or costly, the idea underlying quasi-Newton methods is to use an approximation to the inverse Hessian in place of
David G. Luenberger, Yinyu Ye
openaire +2 more sources
2011
Nel capitolo vengono descritti i metodi Quasi-Newton (noti anche come metodi tipo-secante o metodi a metrica variabile), che costituiscono una classe di metodi per la minimizzazione non vincolata basati sulla conoscenza delle derivate prime. Il piu noto dei metodi Quasi-Newton e il metodo BFGS, del quale analizziamo, nel caso convesso, le proprieta di ...
Luigi Grippo, Marco Sciandrone
openaire +1 more source
Nel capitolo vengono descritti i metodi Quasi-Newton (noti anche come metodi tipo-secante o metodi a metrica variabile), che costituiscono una classe di metodi per la minimizzazione non vincolata basati sulla conoscenza delle derivate prime. Il piu noto dei metodi Quasi-Newton e il metodo BFGS, del quale analizziamo, nel caso convesso, le proprieta di ...
Luigi Grippo, Marco Sciandrone
openaire +1 more source