MINIMIZATION OF A CONVEX QUADRATIC FUNCTION SUBJECT TO SEPARABLE CONICAL CONSTRAINTS IN GRANULAR DYNAMICS

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F15%3A86100588" target="_blank" >RIV/61989100:27240/15:86100588 - isvavai.cz</a>
Alternative codes found
RIV/61989100:27740/15:86100588
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
MINIMIZATION OF A CONVEX QUADRATIC FUNCTION SUBJECT TO SEPARABLE CONICAL CONSTRAINTS IN GRANULAR DYNAMICS
Original language description
The numerical solution of granular dynamics problems with Coulomb friction leads to the problem of minimizing a convex quadratic function with semidefinite Hessian subject to a separable conical constraints. In this paper, we are interested in the numerical solution of this problem. We suggest a modification of an active-set optimal quadratic programming algorithm. The number of projection steps is decreased by using a projected Barzilai-Borwein method. In the numerical experiment, we compare our algorithm with Accelerated Projected Gradient method and Spectral Projected Gradient method on the solution of a particle dynamics problem with hundreds of spherical bodies and static obstacles.
Czech name
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Czech description
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Project
<a href="/en/project/ED1.1.00%2F02.0070" target="_blank" >ED1.1.00/02.0070: IT4Innovations Centre of Excellence</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Programs and Algorithms of Numerical Mathematics 17 : Dolní Maxov, June 8-13, 2014 : proceedings of seminar
ISBN
978-80-85823-64-6
ISSN
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e-ISSN
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Number of pages
6
Pages from-to
175-180
Publisher name
Matematický ústav AV ČR
Place of publication
Praha
Event location
Dolni Maxov
Event date
Jun 8, 2014
Type of event by nationality
CST - Celostátní akce
UT code for WoS article
000380564700025

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