skip to content
Modified Lagrangians and monotone maps in optimization Preview this item
ClosePreview this item
Checking...

Modified Lagrangians and monotone maps in optimization

Author: E G Golʹshteĭn; N V Tretʹi︠a︡kov
Publisher: New York : Wiley, ©1996.
Series: Wiley-Interscience series in discrete mathematics and optimization.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
This translation of the important Russian text covers the theory and computational methods of modified Lagrangian functions (MLFs)--a new branch of mathematical programming used to solve optimization problems. Providing a thorough analysis for both traditional convex programming and monotone maps, the book shows the advantages of MLFs over classical Lagrangian functions in such practical applications as numerical  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: E G Golʹshteĭn; N V Tretʹi︠a︡kov
ISBN: 0471548219 9780471548218 5020139653 9785020139657
OCLC Number: 33281978
Notes: "A Wiley-Interscience publication."
Description: ix, 438 pages ; 24 cm.
Contents: 1. Introduction to Convex Analysis --
2. Modified Lagrangian Functions for Convex Programming Problems --
3. Dual Methods --
4. Monotone Maps --
5. Gradient-Type Methods and Modification of a Monotone Map --
6. Saddle Gradient Methods --
7. Modified Lagrangian Functions For Smooth Mathematical Programming Problems And Related Dual Methods.
Series Title: Wiley-Interscience series in discrete mathematics and optimization.
Other Titles: Modifit︠s︡irovannye funkt︠s︡ii Lagranzha.
Responsibility: E.G. Golshtein and N.V. Tretyakov ; translated by N.V. Tretyakov.
More information:

Abstract:

This work deals with modified Lagrangians that are concerned with traditional convex programming and the area of monotone maps. It shows how these functions improve the classical Lagrange scheme and  Read more...

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/33281978> # Modified Lagrangians and monotone maps in optimization
    a schema:CreativeWork, schema:Book ;
   bgn:translationOfWork <http://www.worldcat.org/title/-/oclc/33281978#CreativeWork/unidentifiedOriginalWork> ; # Modifit︠s︡irovannye funkt︠s︡ii Lagranzha.
   library:oclcnum "33281978" ;
   library:placeOfPublication <http://dbpedia.org/resource/New_York_City> ; # New York
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/nyu> ;
   schema:about <http://id.worldcat.org/fast/1012099> ; # Mathematical optimization
   schema:about <http://dewey.info/class/519.76/e20/> ;
   schema:about <http://experiment.worldcat.org/entity/work/data/38032473#Topic/lagrange_fonctions_de> ; # Lagrange, fonctions de
   schema:about <http://id.worldcat.org/fast/990778> ; # Lagrangian functions
   schema:about <http://experiment.worldcat.org/entity/work/data/38032473#Topic/optimisation_mathematique> ; # Optimisation mathématique
   schema:about <http://experiment.worldcat.org/entity/work/data/38032473#Thing/nonlinear_programming> ; # Nonlinear programming
   schema:bookFormat bgn:PrintBook ;
   schema:contributor <http://viaf.org/viaf/40998832> ; # Nikolaĭ Vladimirovich Tretʹi︠a︡kov
   schema:copyrightYear "1996" ;
   schema:creator <http://viaf.org/viaf/245943985> ; # Evgeniĭ Grigorʹevich Golʹshteĭn
   schema:datePublished "1996" ;
   schema:description "1. Introduction to Convex Analysis -- 2. Modified Lagrangian Functions for Convex Programming Problems -- 3. Dual Methods -- 4. Monotone Maps -- 5. Gradient-Type Methods and Modification of a Monotone Map -- 6. Saddle Gradient Methods -- 7. Modified Lagrangian Functions For Smooth Mathematical Programming Problems And Related Dual Methods."@en ;
   schema:description "This translation of the important Russian text covers the theory and computational methods of modified Lagrangian functions (MLFs)--a new branch of mathematical programming used to solve optimization problems. Providing a thorough analysis for both traditional convex programming and monotone maps, the book shows the advantages of MLFs over classical Lagrangian functions in such practical applications as numerical algorithms, economic modeling, de-composition, and nonconvex local constrained optimization. Following an overview of convex analysis, the authors introduce MLFs through the more general formalism of weak modified Lagrangian functions (WMLFs). They use the two concepts to develop a theory of duality supported by examples of elementary economic models. Also examined are the benefits of MLFs in the application of dual methods in linear programming and in problems with inconsistent constraints."@en ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/38032473> ; # Modifit︠s︡irovannye funkt︠s︡ii Lagranzha.
   schema:inLanguage "en" ;
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/38032473#Series/wiley_interscience_series_in_discrete_mathematics_and_optimization> ; # Wiley-Interscience series in discrete mathematics and optimization.
   schema:name "Modified Lagrangians and monotone maps in optimization"@en ;
   schema:productID "33281978" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/33281978#PublicationEvent/new_york_wiley_1996> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/38032473#Agent/wiley> ; # Wiley
   schema:url <http://catdir.loc.gov/catdir/toc/onix05/95044030.html> ;
   schema:url <http://digitool.hbz-nrw.de:1801/webclient/DeliveryManager?pid=2366518&custom_att_2=simple_viewer> ;
   schema:workExample <http://worldcat.org/isbn/9785020139657> ;
   schema:workExample <http://worldcat.org/isbn/9780471548218> ;
   umbel:isLike <http://bnb.data.bl.uk/id/resource/GB9641170> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/33281978> ;
    .


Related Entities

<http://dbpedia.org/resource/New_York_City> # New York
    a schema:Place ;
   schema:name "New York" ;
    .

<http://experiment.worldcat.org/entity/work/data/38032473#Series/wiley_interscience_series_in_discrete_mathematics_and_optimization> # Wiley-Interscience series in discrete mathematics and optimization.
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/33281978> ; # Modified Lagrangians and monotone maps in optimization
   schema:name "Wiley-Interscience series in discrete mathematics and optimization." ;
   schema:name "Wiley-Interscience series in discrete mathematics and optimization" ;
    .

<http://experiment.worldcat.org/entity/work/data/38032473#Thing/nonlinear_programming> # Nonlinear programming
    a schema:Thing ;
   schema:name "Nonlinear programming" ;
    .

<http://experiment.worldcat.org/entity/work/data/38032473#Topic/lagrange_fonctions_de> # Lagrange, fonctions de
    a schema:Intangible ;
   schema:name "Lagrange, fonctions de"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/38032473#Topic/optimisation_mathematique> # Optimisation mathématique
    a schema:Intangible ;
   schema:name "Optimisation mathématique"@en ;
    .

<http://id.worldcat.org/fast/1012099> # Mathematical optimization
    a schema:Intangible ;
   schema:name "Mathematical optimization"@en ;
    .

<http://id.worldcat.org/fast/990778> # Lagrangian functions
    a schema:Intangible ;
   schema:name "Lagrangian functions"@en ;
    .

<http://viaf.org/viaf/245943985> # Evgeniĭ Grigorʹevich Golʹshteĭn
    a schema:Person ;
   schema:familyName "Golʹshteĭn" ;
   schema:givenName "Evgeniĭ Grigorʹevich" ;
   schema:givenName "E. G." ;
   schema:name "Evgeniĭ Grigorʹevich Golʹshteĭn" ;
    .

<http://viaf.org/viaf/40998832> # Nikolaĭ Vladimirovich Tretʹi︠a︡kov
    a schema:Person ;
   schema:familyName "Tretʹi︠a︡kov" ;
   schema:givenName "Nikolaĭ Vladimirovich" ;
   schema:givenName "N. V." ;
   schema:name "Nikolaĭ Vladimirovich Tretʹi︠a︡kov" ;
    .

<http://worldcat.org/entity/work/id/38032473> # Modifit︠s︡irovannye funkt︠s︡ii Lagranzha.
   schema:name "Modifit︠s︡irovannye funkt︠s︡ii Lagranzha." ;
    .

<http://worldcat.org/isbn/9780471548218>
    a schema:ProductModel ;
   schema:isbn "0471548219" ;
   schema:isbn "9780471548218" ;
    .

<http://worldcat.org/isbn/9785020139657>
    a schema:ProductModel ;
   schema:isbn "5020139653" ;
   schema:isbn "9785020139657" ;
    .

<http://www.worldcat.org/title/-/oclc/33281978#CreativeWork/unidentifiedOriginalWork> # Modifit︠s︡irovannye funkt︠s︡ii Lagranzha.
    a schema:CreativeWork ;
   schema:inLanguage "ru" ;
   schema:name "Modifit︠s︡irovannye funkt︠s︡ii Lagranzha." ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.