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In den WarenkorbPaperback. Zustand: New. Written by leaders in the field, this text showcases some of the remarkable properties of the finite Toda lattice and applies this theory to establish universality for the associated Toda eigenvalue algorithm for random Hermitian matrices. The authors expand on a 2019 course at the Courant Institute to provide a comprehensive introduction to the area, including previously unpublished results. They begin with a brief overview of Hamiltonian mechanics and symplectic manifolds, then derive the action-angle variables for the Toda lattice on symmetric matrices. This text is one of the first to feature a new perspective on the Toda lattice that does not use the Hamiltonian structure to analyze its dynamics. Finally, portions of the above theory are combined with random matrix theory to establish universality for the runtime of the associated Toda algorithm for eigenvalue computation.
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ISBN 10: 1009664352 ISBN 13: 9781009664356
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Paperback. Zustand: New. Written by leaders in the field, this text showcases some of the remarkable properties of the finite Toda lattice and applies this theory to establish universality for the associated Toda eigenvalue algorithm for random Hermitian matrices. The authors expand on a 2019 course at the Courant Institute to provide a comprehensive introduction to the area, including previously unpublished results. They begin with a brief overview of Hamiltonian mechanics and symplectic manifolds, then derive the action-angle variables for the Toda lattice on symmetric matrices. This text is one of the first to feature a new perspective on the Toda lattice that does not use the Hamiltonian structure to analyze its dynamics. Finally, portions of the above theory are combined with random matrix theory to establish universality for the runtime of the associated Toda algorithm for eigenvalue computation.
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In den WarenkorbPaperback. Zustand: New. Riemann-Hilbert problems are fundamental objects of study within complex analysis. Many problems in differential equations and integrable systems, probability and random matrix theory, and asymptotic analysis can be solved by reformulation as a Riemann-Hilbert problem. This book, the most comprehensive one to date on the applied and computational theory of Riemann-Hilbert problems, includes: An introduction to computational complex analysis.An introduction to the applied theory of Riemann-Hilbert problems from an analytical and numerical perspective.A discussion of applications to integrable systems, differential equations, and special function theory.Six fundamental examples and five more sophisticated examples of the analytical and numerical Riemann-Hilbert method, each of mathematical or physical significance or both.
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Paperback. Zustand: new. Paperback. RiemannHilbert problems are fundamental objects of study within complex analysis. Many problems in differential equations and integrable systems, probability and random matrix theory, and asymptotic analysis can be solved by reformulation as a RiemannHilbert problem. This book, the most comprehensive one to date on the applied and computational theory of Riemann-Hilbert problems, includes: An introduction to computational complex analysis.An introduction to the applied theory of RiemannHilbert problems from an analytical and numerical perspective.A discussion of applications to integrable systems, differential equations, and special function theory.Six fundamental examples and five more sophisticated examples of the analytical and numerical RiemannHilbert method, each of mathematical or physical significance or both. Riemann-Hilbert problems are fundamental objects of study within complex analysis. Many problems in differential equations and integrable systems, probability and random matrix theory, and asymptotic analysis can be solved by reformulation as a Riemann-Hilbert problem. This book is the most comprehensive to date on the applied and computational theory of Riemann-Hilbert problems. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
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Paperback. Zustand: New. Written by leaders in the field, this text showcases some of the remarkable properties of the finite Toda lattice and applies this theory to establish universality for the associated Toda eigenvalue algorithm for random Hermitian matrices. The authors expand on a 2019 course at the Courant Institute to provide a comprehensive introduction to the area, including previously unpublished results. They begin with a brief overview of Hamiltonian mechanics and symplectic manifolds, then derive the action-angle variables for the Toda lattice on symmetric matrices. This text is one of the first to feature a new perspective on the Toda lattice that does not use the Hamiltonian structure to analyze its dynamics. Finally, portions of the above theory are combined with random matrix theory to establish universality for the runtime of the associated Toda algorithm for eigenvalue computation.
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ISBN 10: 1611974194 ISBN 13: 9781611974195
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In den WarenkorbPaperback. Zustand: New. Written by leaders in the field, this text showcases some of the remarkable properties of the finite Toda lattice and applies this theory to establish universality for the associated Toda eigenvalue algorithm for random Hermitian matrices. The authors expand on a 2019 course at the Courant Institute to provide a comprehensive introduction to the area, including previously unpublished results. They begin with a brief overview of Hamiltonian mechanics and symplectic manifolds, then derive the action-angle variables for the Toda lattice on symmetric matrices. This text is one of the first to feature a new perspective on the Toda lattice that does not use the Hamiltonian structure to analyze its dynamics. Finally, portions of the above theory are combined with random matrix theory to establish universality for the runtime of the associated Toda algorithm for eigenvalue computation.
Sprache: Englisch
Verlag: Society for Industrial and Applied Mathematics,U.S., US, 2015
ISBN 10: 1611974194 ISBN 13: 9781611974195
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In den WarenkorbPaperback. Zustand: New. Riemann-Hilbert problems are fundamental objects of study within complex analysis. Many problems in differential equations and integrable systems, probability and random matrix theory, and asymptotic analysis can be solved by reformulation as a Riemann-Hilbert problem. This book, the most comprehensive one to date on the applied and computational theory of Riemann-Hilbert problems, includes: An introduction to computational complex analysis.An introduction to the applied theory of Riemann-Hilbert problems from an analytical and numerical perspective.A discussion of applications to integrable systems, differential equations, and special function theory.Six fundamental examples and five more sophisticated examples of the analytical and numerical Riemann-Hilbert method, each of mathematical or physical significance or both.
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Verlag: Society for Industrial & Applied Mathematics,U.S., New York, 2015
ISBN 10: 1611974194 ISBN 13: 9781611974195
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Paperback. Zustand: new. Paperback. RiemannHilbert problems are fundamental objects of study within complex analysis. Many problems in differential equations and integrable systems, probability and random matrix theory, and asymptotic analysis can be solved by reformulation as a RiemannHilbert problem. This book, the most comprehensive one to date on the applied and computational theory of Riemann-Hilbert problems, includes: An introduction to computational complex analysis.An introduction to the applied theory of RiemannHilbert problems from an analytical and numerical perspective.A discussion of applications to integrable systems, differential equations, and special function theory.Six fundamental examples and five more sophisticated examples of the analytical and numerical RiemannHilbert method, each of mathematical or physical significance or both. Riemann-Hilbert problems are fundamental objects of study within complex analysis. Many problems in differential equations and integrable systems, probability and random matrix theory, and asymptotic analysis can be solved by reformulation as a Riemann-Hilbert problem. This book is the most comprehensive to date on the applied and computational theory of Riemann-Hilbert problems. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.
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In den WarenkorbPaperback. Zustand: Brand New. 1st edition. 172 pages. 6.00x0.37x9.00 inches. In Stock. This item is printed on demand.