Structure-Preserving Doubling Algorithms for Nonlinear Matrix Equations

Tsung-Ming Huang, Ren-Cang Li, Wen-Wei Lin (Autoren)

Buch | Softcover

144 Seiten

2018
Society for Industrial & Applied Mathematics,U.S. (Verlag)
978-1-61197-535-2 (ISBN)

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Nonlinear matrix equations arise frequently in applied science and engineering. This is the first book to provide a unified treatment of structure-preserving doubling algorithms, which have been recently studied and proven effective for notoriously challenging problems, such as fluid queue theory and vibration analysis for high-speed trains. The authors present recent developments and results for the theory of doubling algorithms for nonlinear matrix equations associated with regular matrix pencils, and highlight the use of these algorithms in achieving robust solutions for notoriously challenging problems that other methods cannot.

Structure-Preserving Doubling Algorithms for Nonlinear Matrix Equations is intended for researchers and computational scientists. Graduate students may also find it of interest.

Tsung-Ming Huang is a professor in the department of mathematics at National Taiwan Normal University in Taipei, Taiwan. His research interests include large sparse linear systems, eigenvalue problems, and matrix equations. Ren-Cang Li is a professor in the department of mathematics at University of Texas at Arlington. His research interests include floating-point support for scientific computing, large and sparse linear systems, eigenvalue problems, and model reduction, machine learning, and unconventional schemes for differential equations. Wen-Wei Lin is a life-time chair professor in the department of applied mathematics at National Chiao Tung University in Taiwan. His research interests include numerical analysis, matrix computation in linear systems, eigenvalue problems, optimal controls, large-scale optimization in data science, chaotic dynamical systems, and computational conformal geometry with applications.

Erscheinungsdatum	04.12.2018
Reihe/Serie	Fundamentals of Algorithms
Verlagsort	New York
Sprache	englisch
Maße	152 x 229 mm
Gewicht	353 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
ISBN-10	1-61197-535-2 / 1611975352
ISBN-13	978-1-61197-535-2 / 9781611975352
Zustand	Neuware