The Resource Differentiable Optimization and Equation Solving : A Treatise on Algorithmic Science and the Karmarkar Revolution, by John L. Nazareth, (electronic resource)

Differentiable Optimization and Equation Solving : A Treatise on Algorithmic Science and the Karmarkar Revolution, by John L. Nazareth, (electronic resource)

Label
Differentiable Optimization and Equation Solving : A Treatise on Algorithmic Science and the Karmarkar Revolution
Title
Differentiable Optimization and Equation Solving
Title remainder
A Treatise on Algorithmic Science and the Karmarkar Revolution
Statement of responsibility
by John L. Nazareth
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
In 1984, N. Karmarkar published a seminal paper on algorithmic linear programming. During the subsequent decade, it stimulated a huge outpouring of new algorithmic results by researchers world-wide in many areas of mathematical programming and numerical computation. This book gives an overview of the resulting, dramatic reorganization that has occurred in one of these areas: algorithmic differentiable optimization and equation-solving, or, more simply, algorithmic differentiable programming. The book is aimed at readers familiar with advanced calculus, numerical analysis, in particular numerical linear algebra, the theory and algorithms of linear and nonlinear programming, and the fundamentals of computer science, in particular, computer programming and the basic models of computation and complexity theory. "Very fine monograph...filled with great insights." -Joseph F. Traub, Columbia University
Member of
http://library.link/vocab/creatorName
Nazareth, John L
Dewey number
519.3
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
rmNX1OWFiqI
Language note
English
LC call number
QA71-90
Literary form
non fiction
Nature of contents
dictionaries
Series statement
CMS Books in Mathematics, Ouvrages de mathématiques de la SMC,
http://library.link/vocab/subjectName
  • Computer science
  • Algorithms
  • Mathematical optimization
  • Computational Mathematics and Numerical Analysis
  • Mathematical Modeling and Industrial Mathematics
  • Operations Research, Management Science
  • Algorithms
  • Optimization
Label
Differentiable Optimization and Equation Solving : A Treatise on Algorithmic Science and the Karmarkar Revolution, by John L. Nazareth, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. [225]-249) and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Foundations -- The Karmarkar Revolution -- The Newton-Cauchy Method -- Euler-Newton and Lagrange-NC Methods -- Lessons from One Dimension -- A Misleading Paradigm -- CG and the Line Search -- Gilding the Nelder—Mead Lily -- Choosing the Right Diagonal Scale -- Historical Parallels -- LP from the Newton-Cauchy Perspective -- Diagonal Metrics and the QC Method -- Linear Programming Post-Karmarkar -- LP from the Euler-Newton Perspective -- Log-Barrier Transformations -- Karmarkar Potentials and Algorithms -- Algorithmic Science -- Algorithmic Principles -- Multialgorithms: A New Paradigm -- An Emerging Discipline
Dimensions
unknown
Edition
1st ed. 2003.
Extent
1 online resource (274 p.)
Form of item
online
Isbn
9780387217888
Media category
computer
Media type code
  • c
Other control number
10.1007/b97521
Specific material designation
remote
System control number
  • (CKB)111087027062466
  • (EBL)3035521
  • (SSID)ssj0000138854
  • (PQKBManifestationID)11158838
  • (PQKBTitleCode)TC0000138854
  • (PQKBWorkID)10101564
  • (PQKB)10894202
  • (DE-He213)978-0-387-21788-8
  • (MiAaPQ)EBC3035521
  • (EXLCZ)99111087027062466
Label
Differentiable Optimization and Equation Solving : A Treatise on Algorithmic Science and the Karmarkar Revolution, by John L. Nazareth, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. [225]-249) and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Foundations -- The Karmarkar Revolution -- The Newton-Cauchy Method -- Euler-Newton and Lagrange-NC Methods -- Lessons from One Dimension -- A Misleading Paradigm -- CG and the Line Search -- Gilding the Nelder—Mead Lily -- Choosing the Right Diagonal Scale -- Historical Parallels -- LP from the Newton-Cauchy Perspective -- Diagonal Metrics and the QC Method -- Linear Programming Post-Karmarkar -- LP from the Euler-Newton Perspective -- Log-Barrier Transformations -- Karmarkar Potentials and Algorithms -- Algorithmic Science -- Algorithmic Principles -- Multialgorithms: A New Paradigm -- An Emerging Discipline
Dimensions
unknown
Edition
1st ed. 2003.
Extent
1 online resource (274 p.)
Form of item
online
Isbn
9780387217888
Media category
computer
Media type code
  • c
Other control number
10.1007/b97521
Specific material designation
remote
System control number
  • (CKB)111087027062466
  • (EBL)3035521
  • (SSID)ssj0000138854
  • (PQKBManifestationID)11158838
  • (PQKBTitleCode)TC0000138854
  • (PQKBWorkID)10101564
  • (PQKB)10894202
  • (DE-He213)978-0-387-21788-8
  • (MiAaPQ)EBC3035521
  • (EXLCZ)99111087027062466

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