REBIUN - ODA

Descripción del título

Nonlinear Perron-Frobenius ...

Nonlinear Perron-Frobenius theory

Lemmens, Bas

Nussbaum, Roger D. (1944-)

Cambridge University Press 2012

In the past several decades the classical Perron-Frobenius theory for nonnegative matrices has been extended to obtain remarkably precise and beautiful results for classes of nonlinear maps. This nonlinear Perron-Frobenius theory has found significant uses in computer science, mathematical biology, game theory and the study of dynamical systems. This is the first comprehensive and unified introduction to nonlinear Perron-Frobenius theory suitable for graduate students and researchers entering the field for the first time. It acquaints the reader with recent developments and provides a guide to challenging open problems. To enhance accessibility, the focus is on finite dimensional nonlinear Perron-Frobenius theory, but pointers are provided to infinite dimensional results. Prerequisites are little more than basic real analysis and topology

Ver

Electronic book Electronic books Electronic books

Monografía

monografia Rebiun26333780 https://catalogo.rebiun.org/rebiun/record/Rebiun26333780 m o d cr ||||||||||| 110218s2012 enka ob 001 0 eng d 2011053268 798613255 798795326 801405882 801926502 817095858 1055393161 1058734737 1066441973 1081205956 1096215940 1162465998 1167504271 9781139026079 ebook) 1139026070 ebook) 9780521898812 hardback) 0521898811 hardback) 1280877952 9781280877957 9781139376822 1139376829 9781139379687 electronic bk.) 1139379682 electronic bk.) 9781139375399 1139375393 1107226341 9781107226340 9786613719263 6613719269 1139378252 9781139378253 1139371401 9781139371407 9786613719263 371926 MIL UkCbUP eng pn AUD EBLCP MHW AZU OCLCO MERUC CDX IDEBK ORU OCLCQ DEBSZ OCLCQ OCLCF YDXCP N$T E7B OSU OCLCQ NJR OCLCQ UAB OCLCQ COCUF STF LOA CUY ZCU ICG INT K6U VT2 U3W AU@ DEBBG OCLCQ WYU LVT TKN OCLCQ TXI DKC OCLCQ A6Q G3B OCLCQ VLY UKAHL LUN AJS (S PBKJ bicssc MAT 002050 bisacsh Nonlinear Perron-Frobenius theory Bas Lemmens, Roger Nussbaum Cambridge Cambridge University Press 2012 Cambridge Cambridge Cambridge University Press 1 online resource (xii, 323 pages) illustrations, tables 1 online resource (xii, 323 pages) Text txt rdacontent computer c rdamedia online resource cr rdacarrier Cambridge tracts in mathematics 189 Title from publishers bibliographic system (viewed 09 May 2012) Includes chapter notes and comments, bibliographical references (pages 307-318), list of symbols, and index Cover; CAMBRIDGE TRACTS IN MATHEMATICS; GENERAL EDITORS; Title; Copyright; Contents; Preface; 1 What is nonlinear Perron-Frobenius theory?; 1.1 Classical Perron-Frobenius theory; 1.2 Cones and partial orderings; 1.3 Order-preserving maps; 1.4 Subhomogeneous maps; 1.5 Topical maps; 1.6 Integral-preserving maps; 2 Non-expansiveness and nonlinear Perron-Frobenius theory; 2.1 Hilbert's and Thompson's metrics; 2.2 Polyhedral cones; 2.3 Lorentz cones; 2.4 The cone of positive-semidefinite symmetric matrices; 2.5 Completeness; 2.6 Convexity and geodesics; 2.7 Topical maps and the sup-norm In the past several decades the classical Perron-Frobenius theory for nonnegative matrices has been extended to obtain remarkably precise and beautiful results for classes of nonlinear maps. This nonlinear Perron-Frobenius theory has found significant uses in computer science, mathematical biology, game theory and the study of dynamical systems. This is the first comprehensive and unified introduction to nonlinear Perron-Frobenius theory suitable for graduate students and researchers entering the field for the first time. It acquaints the reader with recent developments and provides a guide to challenging open problems. To enhance accessibility, the focus is on finite dimensional nonlinear Perron-Frobenius theory, but pointers are provided to infinite dimensional results. Prerequisites are little more than basic real analysis and topology English Non-negative matrices Eigenvalues Eigenvectors Algebras, Linear MATHEMATICS- Differential Equations MATHEMATICS- Algebra- Linear Algebras, Linear Eigenvalues Eigenvectors Non-negative matrices Electronic book Electronic books Electronic books Lemmens, Bas Nussbaum, Roger D. 1944-) Print version 9780521898812 Cambridge tracts in mathematics 189

• Localizaciones: 1
• Préstamo interbibliotecario

• Exportar
  • Dublin Core
  • Google scholar
  • RIS
  • RefWorks
• Favorito
• Compartir

Información Sólo puedes introducir una dirección de email ×

Introduce un email para compartir el título

Email Pon el email de la persona con la que deseas compartir este contenido

Error .alert.alert-info

Cerrar Compartir por email

Información Haz clic en el cuadro de texto para seleccionar el contenido y copiarlo al portapapeles

Enlace permanente https://catalogo.rebiun.org/rebiun/record/Rebiun26333780

Cerrar

monografia Rebiun26333780 https://catalogo.rebiun.org/rebiun/record/Rebiun26333780 m o d cr ||||||||||| 110218s2012 enka ob 001 0 eng d 2011053268 798613255 798795326 801405882 801926502 817095858 1055393161 1058734737 1066441973 1081205956 1096215940 1162465998 1167504271 9781139026079 ebook) 1139026070 ebook) 9780521898812 hardback) 0521898811 hardback) 1280877952 9781280877957 9781139376822 1139376829 9781139379687 electronic bk.) 1139379682 electronic bk.) 9781139375399 1139375393 1107226341 9781107226340 9786613719263 6613719269 1139378252 9781139378253 1139371401 9781139371407 9786613719263 371926 MIL UkCbUP eng pn AUD EBLCP MHW AZU OCLCO MERUC CDX IDEBK ORU OCLCQ DEBSZ OCLCQ OCLCF YDXCP N$T E7B OSU OCLCQ NJR OCLCQ UAB OCLCQ COCUF STF LOA CUY ZCU ICG INT K6U VT2 U3W AU@ DEBBG OCLCQ WYU LVT TKN OCLCQ TXI DKC OCLCQ A6Q G3B OCLCQ VLY UKAHL LUN AJS (S PBKJ bicssc MAT 002050 bisacsh Nonlinear Perron-Frobenius theory Bas Lemmens, Roger Nussbaum Cambridge Cambridge University Press 2012 Cambridge Cambridge Cambridge University Press 1 online resource (xii, 323 pages) illustrations, tables 1 online resource (xii, 323 pages) Text txt rdacontent computer c rdamedia online resource cr rdacarrier Cambridge tracts in mathematics 189 Title from publishers bibliographic system (viewed 09 May 2012) Includes chapter notes and comments, bibliographical references (pages 307-318), list of symbols, and index Cover; CAMBRIDGE TRACTS IN MATHEMATICS; GENERAL EDITORS; Title; Copyright; Contents; Preface; 1 What is nonlinear Perron-Frobenius theory?; 1.1 Classical Perron-Frobenius theory; 1.2 Cones and partial orderings; 1.3 Order-preserving maps; 1.4 Subhomogeneous maps; 1.5 Topical maps; 1.6 Integral-preserving maps; 2 Non-expansiveness and nonlinear Perron-Frobenius theory; 2.1 Hilbert's and Thompson's metrics; 2.2 Polyhedral cones; 2.3 Lorentz cones; 2.4 The cone of positive-semidefinite symmetric matrices; 2.5 Completeness; 2.6 Convexity and geodesics; 2.7 Topical maps and the sup-norm In the past several decades the classical Perron-Frobenius theory for nonnegative matrices has been extended to obtain remarkably precise and beautiful results for classes of nonlinear maps. This nonlinear Perron-Frobenius theory has found significant uses in computer science, mathematical biology, game theory and the study of dynamical systems. This is the first comprehensive and unified introduction to nonlinear Perron-Frobenius theory suitable for graduate students and researchers entering the field for the first time. It acquaints the reader with recent developments and provides a guide to challenging open problems. To enhance accessibility, the focus is on finite dimensional nonlinear Perron-Frobenius theory, but pointers are provided to infinite dimensional results. Prerequisites are little more than basic real analysis and topology English Non-negative matrices Eigenvalues Eigenvectors Algebras, Linear MATHEMATICS- Differential Equations MATHEMATICS- Algebra- Linear Algebras, Linear Eigenvalues Eigenvectors Non-negative matrices Electronic book Electronic books Electronic books Lemmens, Bas Nussbaum, Roger D. 1944-) Print version 9780521898812 Cambridge tracts in mathematics 189