MARC Record from marc_columbia

LEADER: 03167cam a22003974a 4500
001 4080309
005 20221027031550.0
008 020725t20032003nyua b 001 0 eng
010 $a 2002030238
015 $aGBA3-32450
020 $a0387955720 (alk. paper)
035 $a(OCoLC)ocm50280135
035 $a(NNC)4080309
035 $a4080309
040 $aDLC$cDLC$dC#P$dOHX$dUKM$dOrLoB-B
042 $apcc
050 00 $aQA402.5$b.N375 2003
072 7 $aQA$2lcco
082 00 $a519.3$221
100 1 $aNazareth, J. L.$q(John Lawrence)$0http://id.loc.gov/authorities/names/n85280560
245 10 $aDifferentiable optimization and equation solving :$ba treatise on algorithmic science and the Karmarkar revolution /$cJohn Lawrence Nazareth.
260 $aNew York :$bSpringer,$c[2003], ©2003.
300 $axvi, 256 pages :$billustrations ;$c25 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
490 1 $aCMS books in mathematics ;$v13
504 $aIncludes bibliographical references (p. [225]-249) and index.
505 00 $gI.$tFoundations -- $g1.$tThe Karmarkar Revolution -- $g2.$tThe Newton-Cauchy Method -- $g3.$tEuler-Newton and Lagrange-NC Methods -- $gII.$tLessons from One Dimension -- $g4.$tA Misleading Paradigm -- $g5.$tCG and the Line Search -- $g6.$tGilding the Nelder-Mead Lily -- $gIII.$tChoosing the Right Diagonal Scale -- $g7.$tHistorical Parallels -- $g8.$tLP from the Newton-Cauchy Perspective -- $g9.$tDiagonal Metrics and the QC Method -- $gIV.$tLinear Programming Post-Karmarkar -- $g10.$tLP from the Euler-Newton Perspective -- $g11.$tLog-Barrier Transformations -- $g12.$tKarmarkar Potentials and Algorithms -- $gV.$tAlgorithmic Science -- $g13.$tAlgorithmic Principles -- $g14.$tMultialgorithms: A New Paradigm -- $g15.$tAn Emerging Discipline.
520 1 $a"This book gives an overview of a resulting, dramatic reorganization that has occurred in one of these areas of mathematical programming and numerical computation: algorithmic differentiable optimization and equation solving, or more simply, algorithmic differentiable programming.
520 8 $aThe author provides a unified perspective and readable commentary on Karmarkar's algorithmic revolution, with special emphasis placed on the problems that form its foundation, namely, unconstrained minimization, solving nonlinear equations, unidimensional programming, and linear programming. The specific work discussed here derives mainly from the author's research in these areas during the post-Karmarkar period and is aimed at researchers in optimization and advanced graduate students.
520 8 $aThe reader is assumed to be familiar with advanced calculus, numerical analysis, and the fundamentals of computer science."--BOOK JACKET.
650 0 $aMathematical optimization.$0http://id.loc.gov/authorities/subjects/sh85082127
650 0 $aProgramming (Mathematics)$0http://id.loc.gov/authorities/subjects/sh85107312
650 0 $aAlgorithms.$0http://id.loc.gov/authorities/subjects/sh85003487
830 0 $aCMS books in mathematics ;$v13.$0http://id.loc.gov/authorities/names/n99830842
852 00 $boff,eng$hQA402.5$i.N375 2003