MARC Record from harvard_bibliographic_metadata

LEADER: 03303cam a2200385Ka 4500
001 012751087-7
005 20140910154308.0
008 100715s2010 enka b 001 0 eng d
010 $a 2010933523
020 $a9781849962988
020 $a1849962987
035 0 $aocn648933213
040 $aBTCTA$beng$cBTCTA$dYDXCP$dCDX$dMUU
050 4 $aQA582$b.B88 2010
082 04 $a516.35$222
100 1 $aButkovič, Peter.
245 10 $aMax-linear systems :$btheory and algorithms /$cPeter Butkovič.
260 $aLondon ;$aNew York :$bSpringer Verlag,$cc2010.
300 $axvii, 272 p. :$bill. ;$c24 cm.
490 1 $aSpringer monographs in mathematics
504 $aIncludes bibliographical references (p. 261-267) and index.
505 0 $aMax-algebra: Two Special Features -- One-sided Max-linear Systems and Max-algebraic Subspaces -- Eigenvalues and Eigenvectors -- Maxpolynomials. The Characteristic Maxpolynomial -- Linear Independence and Rank. The Simple Image Set -- Two-sided Max-linear Systems -- Reachability of Eigenspaces -- Generalized Eigenproblem -- Max-linear Programs -- Conclusions and Open Problems.
520 $aRecent years have seen a significant rise of interest in max-linear theory and techniques. In addition to providing the linear-algebraic background in the field of tropical mathematics, max-algebra provides mathematical theory and techniques for solving various nonlinear problems arising in areas such as manufacturing, transportation, allocation of resources and information processing technology. It is, therefore, a significant topic spanning both pure and applied mathematical fields. A welcome introduction to the subject of max-plus (tropical) linear algebra, and in particular algorithmic problems, Max-linear Systems: Theory and Algorithms offers a consolidation of both new and existing literature, thus filling a much-needed gap. Providing the fundamentals of max-algebraic theory in a comprehensive and unified form, in addition to more advanced material with an emphasis on feasibility and reachability, this book presents a number of new research results. Topics covered range from max-linear systems and the eigenvalue-eigenvector problem to periodic behavior of matrices, max-linear programs, linear independence, and matrix scaling. This book assumes no prior knowledge of max-algebra and much of the theoryis illustrated with numerical examples, complemented by exercises, and accompanied by both practical and theoretical applications. Open problems are also demonstrated. A fresh and pioneering approach to the topic of Max-linear Systems, this book will hold a wide-ranging readership, and will be useful for: • anyone with basic mathematical knowledge wishing to learn essential max-algebraic ideas and techniques • undergraduate and postgraduate students of mathematics or a related degree • mathematics researchers • mathematicians working in industry, commerce or management
650 0 $aMatrices.
650 0 $aSemirings (Mathematics)
650 0 $aLinear systems.
650 0 $aTropical geometry.
650 0 $aAlgebras, Linear.
650 0 $aMathematics.
650 0 $aMatrix theory.
830 0 $aSpringer monographs in mathematics.
899 $a415_565982
988 $a20110425
049 $aCLSL
906 $0OCLC