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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)
Resource Information
The item Nonnegative matrices and applications, R.B. Bapat, T.E.S. Raghavan, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries.This item is available to borrow from all library branches.
Resource Information
The item Nonnegative matrices and applications, R.B. Bapat, T.E.S. Raghavan, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries.
This item is available to borrow from all library branches.
 Summary
 An integrated approach for new graduate students, emphasising connections with game theory, optimisation, mathematical programming and statistics
 Language

 eng
 eng
 Extent
 1 online resource (351 p.)
 Note
 Description based upon print version of record
 Contents

 Cover; Title; Copyright; Dedication; Contents; Preface; 1 PerronFrobenius 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 PerronFrobenius theorem; 1.5 Nonsingular Mmatrices; 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 Birkhoffvon 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 Sumsymmetric 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 Quasiconvex quadratic forms; 4.3 An interpolation problem; 4.4 A characterization theorem; 4.5 Logconcavity and discrete distributions; 4.6. The qpermanent; 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 Pmatrices; 7.9 Nmatrices; 7.10 Global univalence; 7.11 Stability and market prices; 7.12 Historical notes
 ExercisesReferences; Index; Author Index
 Isbn
 9781107095137
 Label
 Nonnegative matrices and applications
 Title
 Nonnegative matrices and applications
 Statement of responsibility
 R.B. Bapat, T.E.S. Raghavan
 Language

 eng
 eng
 Summary
 An integrated approach for new graduate students, emphasising connections with game theory, optimisation, mathematical programming and statistics
 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

 Nonnegative matrices
 System analysis
 Label
 Nonnegative matrices and applications, R.B. Bapat, T.E.S. Raghavan, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references (p. 315328) 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 PerronFrobenius 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 PerronFrobenius theorem; 1.5 Nonsingular Mmatrices; 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 Birkhoffvon 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 Sumsymmetric 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 Quasiconvex quadratic forms; 4.3 An interpolation problem; 4.4 A characterization theorem; 4.5 Logconcavity and discrete distributions; 4.6. The qpermanent; 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 Pmatrices; 7.9 Nmatrices; 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)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references (p. 315328) 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 PerronFrobenius 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 PerronFrobenius theorem; 1.5 Nonsingular Mmatrices; 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 Birkhoffvon 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 Sumsymmetric 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 Quasiconvex quadratic forms; 4.3 An interpolation problem; 4.4 A characterization theorem; 4.5 Logconcavity and discrete distributions; 4.6. The qpermanent; 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 Pmatrices; 7.9 Nmatrices; 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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