The Resource Nonnegative matrices and applications, R.B. Bapat, T.E.S. Raghavan, (electronic resource)

Nonnegative matrices and applications, R.B. Bapat, T.E.S. Raghavan, (electronic resource)

Label
Nonnegative matrices and applications
Title
Nonnegative matrices and applications
Statement of responsibility
R.B. Bapat, T.E.S. Raghavan
Creator
Contributor
Subject
Genre
Language
  • eng
  • eng
Summary
An integrated approach for new graduate students, emphasising connections with game theory, optimisation, mathematical programming and statistics
Member of
Cataloging source
MiAaPQ
http://library.link/vocab/creatorName
Bapat, R. B
Dewey number
  • 512.9
  • 512.9434
Illustrations
illustrations
Index
index present
Language note
English
LC call number
QA188
LC item number
.B355 1997
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Raghavan, T. E. S
Series statement
  • Encyclopedia of mathematics and its applications
  • Encyclopedia of Mathematics and its Applications
Series volume
v. 64
http://library.link/vocab/subjectName
  • Non-negative matrices
  • System analysis
Label
Nonnegative matrices and applications, R.B. Bapat, T.E.S. Raghavan, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. 315-328) and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
  • Cover; Title; Copyright; Dedication; Contents; Preface; 1 Perron-Frobenius theory and matrix games; 1.1 Irreducible nonnegative matrices; 1.2 Perron's Theorem on positive matrices; 1.3 Completely mixed games; 1.4 The Perron-Frobenius theorem; 1.5 Nonsingular M-matrices; 1.6 Polyhedral sets with least elements; 1.7 Reducible nonnegative matrices; 1.8 Primitive matrices; 1.9 Finite Markov chains; 1.10 Self maps of the Lorentz cone; Exercises; 2 Doubly stochastic matrices; 2.1 The Birkhoff-von Neumann Theorem; 2.2 Fully indecomposable matrices; 2.3. König's Theorem and rank
  • 2.4 The optimal assignment problem2.5 A probabilistic algorithm; 2.6 Diagonal products; 2.7 A self map of doubly stochastic matrices; 2.8 van der Waerden conjecture and its solution; 2.9 Cooperative games with side payments; 2.10. Lexicographic center; 2.11 Open shop scheduling; 2.12 A fair division problem; Exercises; 3 Inequalities; 3.1 Perron root and row sums; 3.2 Applications of the Information Inequality; 3.3 Inequalities of Levinger and Kingman; 3.4 Sum-symmetric matrices; 3.5 Circuit geometric means; 3.6 The Hadamard Inequality; 3.7 Inequalities of Fiedler and Oppenheim
  • 3.8 Schur power matrix3.9 Majorization inequalities for eigenvalues; 3.10 The parallel sum; 3.11 Symmetric function means; Exercises; 4 Conditionally positive definite matrices; 4.1 Distance matrices; 4.2 Quasi-convex quadratic forms; 4.3 An interpolation problem; 4.4 A characterization theorem; 4.5 Log-concavity and discrete distributions; 4.6. The q-permanent; Exercises; 5 Topics in combinatorial theory; 5.1 Matroids; 5.2 Mixed discriminants; 5.3 The Alexandroff Inequality; 5.4 Coxeter graphs; 5.5 Matrices over the max algebra; 5.6 Boolean matrices; Exercises
  • 6 Scaling problems and their applications6.1 Practical examples of scaling problems; 6.2 Kronecker Index Theorem and scaling; 6.3 Hilbert's projective metric; 6.4 Algorithms for scaling; 6.5 Maximum likelihood estimation; Exercises; 7 Special matrices in economic models; 7.1 Pure exchange economy; 7.2 Linear slave economies; 7.3 Substitution Theorem; 7.4 Sraffa system; 7.5 Dual Sraffa system on quantities; 7.6 A linear model of an expanding economy; 7.7 Factor price equalization; 7.8 P-matrices; 7.9 N-matrices; 7.10 Global univalence; 7.11 Stability and market prices; 7.12 Historical notes
  • ExercisesReferences; Index; Author Index
Dimensions
unknown
Extent
1 online resource (351 p.)
Form of item
online
Isbn
9781107095137
Media category
computer
Media type code
c
Specific material designation
remote
System control number
  • (CKB)2550000001163967
  • (EBL)1182521
  • (OCoLC)862939767
  • (SSID)ssj0000462443
  • (PQKBManifestationID)11313857
  • (PQKBTitleCode)TC0000462443
  • (PQKBWorkID)10400110
  • (PQKB)10786797
  • (UkCbUP)CR9780511529979
  • (MiAaPQ)EBC1182521
  • (EXLCZ)992550000001163967
Label
Nonnegative matrices and applications, R.B. Bapat, T.E.S. Raghavan, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. 315-328) and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
  • Cover; Title; Copyright; Dedication; Contents; Preface; 1 Perron-Frobenius theory and matrix games; 1.1 Irreducible nonnegative matrices; 1.2 Perron's Theorem on positive matrices; 1.3 Completely mixed games; 1.4 The Perron-Frobenius theorem; 1.5 Nonsingular M-matrices; 1.6 Polyhedral sets with least elements; 1.7 Reducible nonnegative matrices; 1.8 Primitive matrices; 1.9 Finite Markov chains; 1.10 Self maps of the Lorentz cone; Exercises; 2 Doubly stochastic matrices; 2.1 The Birkhoff-von Neumann Theorem; 2.2 Fully indecomposable matrices; 2.3. König's Theorem and rank
  • 2.4 The optimal assignment problem2.5 A probabilistic algorithm; 2.6 Diagonal products; 2.7 A self map of doubly stochastic matrices; 2.8 van der Waerden conjecture and its solution; 2.9 Cooperative games with side payments; 2.10. Lexicographic center; 2.11 Open shop scheduling; 2.12 A fair division problem; Exercises; 3 Inequalities; 3.1 Perron root and row sums; 3.2 Applications of the Information Inequality; 3.3 Inequalities of Levinger and Kingman; 3.4 Sum-symmetric matrices; 3.5 Circuit geometric means; 3.6 The Hadamard Inequality; 3.7 Inequalities of Fiedler and Oppenheim
  • 3.8 Schur power matrix3.9 Majorization inequalities for eigenvalues; 3.10 The parallel sum; 3.11 Symmetric function means; Exercises; 4 Conditionally positive definite matrices; 4.1 Distance matrices; 4.2 Quasi-convex quadratic forms; 4.3 An interpolation problem; 4.4 A characterization theorem; 4.5 Log-concavity and discrete distributions; 4.6. The q-permanent; Exercises; 5 Topics in combinatorial theory; 5.1 Matroids; 5.2 Mixed discriminants; 5.3 The Alexandroff Inequality; 5.4 Coxeter graphs; 5.5 Matrices over the max algebra; 5.6 Boolean matrices; Exercises
  • 6 Scaling problems and their applications6.1 Practical examples of scaling problems; 6.2 Kronecker Index Theorem and scaling; 6.3 Hilbert's projective metric; 6.4 Algorithms for scaling; 6.5 Maximum likelihood estimation; Exercises; 7 Special matrices in economic models; 7.1 Pure exchange economy; 7.2 Linear slave economies; 7.3 Substitution Theorem; 7.4 Sraffa system; 7.5 Dual Sraffa system on quantities; 7.6 A linear model of an expanding economy; 7.7 Factor price equalization; 7.8 P-matrices; 7.9 N-matrices; 7.10 Global univalence; 7.11 Stability and market prices; 7.12 Historical notes
  • ExercisesReferences; Index; Author Index
Dimensions
unknown
Extent
1 online resource (351 p.)
Form of item
online
Isbn
9781107095137
Media category
computer
Media type code
c
Specific material designation
remote
System control number
  • (CKB)2550000001163967
  • (EBL)1182521
  • (OCoLC)862939767
  • (SSID)ssj0000462443
  • (PQKBManifestationID)11313857
  • (PQKBTitleCode)TC0000462443
  • (PQKBWorkID)10400110
  • (PQKB)10786797
  • (UkCbUP)CR9780511529979
  • (MiAaPQ)EBC1182521
  • (EXLCZ)992550000001163967

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