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HSL_MI28 Symmetric system: incomplete Cholesky factorization

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F13%3A00399805" target="_blank" >RIV/67985807:_____/13:00399805 - isvavai.cz</a>

  • Result on the web

    <a href="http://www.hsl.rl.ac.uk/catalogue/hsl_mi28.xml" target="_blank" >http://www.hsl.rl.ac.uk/catalogue/hsl_mi28.xml</a>

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    HSL_MI28 Symmetric system: incomplete Cholesky factorization

  • Original language description

    This code represents a new robust and efficient general-purpose incomplete Cholesky factorization package HSL_MI28, which is available within the HSL mathematical software library. It implements a limited memory approach that exploits ideas from the positive semidefinite Tismenetsky-Kaporin modification scheme and, through the incorporation of intermediate memory, is a generalization of the widely-used ICFS algorithm of Lin and Moré. Both the sparsity density of the incomplete factor and the amount of memory used in its computation are under the user's control. The performance of HSL_MI28 can be demonstrated using extensive numerical experiments involving a large set of test problems arising from a wide range of real-world applications. The numerical experiments in the accompanying paper are used to isolate the effects of the semidefinite modifications and of scaling, ordering and dropping strategies so as to assess their usefulness in the development of robust algebraic incomplete fac

  • Czech name

  • Czech description

Classification

  • Type

    R - Software

  • CEP classification

    IN - Informatics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA13-06684S" target="_blank" >GA13-06684S: Iterative Methods in Computational Mathematics: Analysis, Preconditioning, and Applications</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2013

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Internal product ID

    HSL_MI28

  • Technical parameters

    Nový program využívá dodatečné paměti pro uložení rozkladu matice, která se použije pouze v průběhu rozkladu. Při použití takto získaných faktorů matice je tato paměť uvolněna a tím se umožní řešení rozsáhlejších úloh.

  • Economical parameters

    rychlejší a robustnější výpočet vědecko-technických úloh založených na diskretizaci spojité formulace

  • Owner IČO

    67985807

  • Owner name

    Ústav informatiky AV ČR v.v