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Algorithm 896: LSA: Algorithms for Large-Scale Optimization

Result description

We present 14 basic Fortran subroutines for large-scale unconstrained and box constrained optimization and large-scale systems of nonlinear equations. Subroutines, based on various strategies, are intended for dense and sparse general optimization problems, smooth and nonsmooth partially separable optimization problems, sparse nonlinear least-squares problems, minimization of a maximum value (minimax), minimization of a sum of absolute values, and sparse systems of nonlinear equations. Besides the description of methods and codes, we propose computational experiments which demonstrate the efficiency of the proposed algorithms.

Keywords

algorithmsdesignlarge-scale optimizationlarge-scale nonsmooth optimizationlarge-scale nonlinear least squareslarge-scale nonlinear minimaxlarge-scale systems of nonlinear equationssparse problemspartially separable problemslimited-memory methodsdiscrete Newton methodsquasi-Newton methodsprimal interior-point methods

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    Algorithm 896: LSA: Algorithms for Large-Scale Optimization

  • Original language description

    We present 14 basic Fortran subroutines for large-scale unconstrained and box constrained optimization and large-scale systems of nonlinear equations. Subroutines, based on various strategies, are intended for dense and sparse general optimization problems, smooth and nonsmooth partially separable optimization problems, sparse nonlinear least-squares problems, minimization of a maximum value (minimax), minimization of a sum of absolute values, and sparse systems of nonlinear equations. Besides the description of methods and codes, we propose computational experiments which demonstrate the efficiency of the proposed algorithms.

  • Czech name

  • Czech description

Classification

  • Type

    Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BB - Applied statistics, operational research

  • OECD FORD branch

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2009

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    ACM Transactions on Mathematical Software

  • ISSN

    0098-3500

  • e-ISSN

  • Volume of the periodical

    36

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    29

  • Pages from-to

  • UT code for WoS article

    000268474100004

  • EID of the result in the Scopus database

Basic information

Result type

Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

Jx

CEP

BB - Applied statistics, operational research

Year of implementation

2009