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Variationally-Derived Limited-Memory Methods for Unconstrained Optimization
The contribution contains a description of a limited memory variable metric method for large scale unconstrained minimization. The Hessian matrix is assumed to be general without any structure....
BA - Obecná matematika
- 2004 •
- D
Rok uplatnění
D - Stať ve sborníku
Shifted Limited-Memory Variable Metric Methods for Large-Scale Unconstrained Minimization
A new family of numerically effcient full-memory variable metric or quasi-Newton methods for unconstrained minimization is given, which give simple possibility to derive related limited-memory methods. Glo...
BA - Obecná matematika
- 2005 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Limited-memory Variable Metric Methods that use Quantities from the Preceding Iteration
In this contribution, a new family of globally convergent limited-memory (LM) variable metric (VM) line search methods for unconstrained minimization is presented. Numerical results indicate that the new methods ca...
BA - Obecná matematika
- 2010 •
- D
Rok uplatnění
D - Stať ve sborníku
Limited-memory polynomial methods for large-scale matrix functions
various limited-memory methods for the approximation of the action of a large-scale matrix function on a vector. Emphasis is put on polynomial methods, whose memory requirements are known or prescribed a ...
Applied mathematics
- 2020 •
- JSC •
- Link
Rok uplatnění
JSC - Článek v periodiku v databázi SCOPUS
Výsledek na webu
Recursive form of general limited memory variable metric methods
efficient limited memory variable metric methods. Numerical experiments concerningIn this report we propose a new recursive matrix formulation of limited memory variable metric methods. This appr...
BA - Obecná matematika
- 2013 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Limited-Memory Variable Metric Methods based on Invariant Matrices
A new class of limited-memory variable metric methods for unconstrained minimization is described. Approximations of inverses of Hessian matrices are based are singular, they are adjusted for a computation of direction vect...
BA - Obecná matematika
- 2008 •
- D
Rok uplatnění
D - Stať ve sborníku
Modifications of the limited-memory BFGS method based on the idea of conjugate directions
Simple modifications of the limited-memory BFGS method (L-BFGS) for large scale unconstrained optimization are considered, which consist in corrections of the used functions. Numerical experiments indicate that the new ...
BA - Obecná matematika
- 2013 •
- D
Rok uplatnění
D - Stať ve sborníku
A conjugate directions approach to improve the limited-memory BFGS method
Simple modifications of the limited-memory BFGS method (L-BFGS) for large scale unconstrained optimization are considered, which consist in corrections (derived from sufficiently smooth functions. Numerical experiments indi...
BA - Obecná matematika
- 2012 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
A Modified Limited-Memory BNS Method for Unconstrained Minimization Based on the Conjugate Directions Idea
A modification of the limited-memory variable metric BNS method for large-scale unconstrained optimization is proposed, which consists in corrections (derived from the idea, A conjugate directions approach to improve the
BA - Obecná matematika
- 2015 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
A Limited-memory Optimization Method Using the Infinitely Many Times Repeated BNS Update and Conjugate Directions
To improve the performance of the limited-memory variable metric L-BFGS method, the suitable extra updates need to be selected carefully. We show that for the limited-memory variable metric BNS method<...
Applied mathematics
- 2019 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
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