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Functions of Matrices
  • Language: en
  • Pages: 431

Functions of Matrices

  • Type: Book
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  • Published: 2008-09-11
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  • Publisher: SIAM

“This superb book is timely and is written with great attention paid to detail, particularly in its referencing of the literature. The book has a wonderful blend of theory and code (MATLAB®) so will be useful both to nonexperts and to experts in the field.” — Alan Laub, Professor, University of California, Los Angeles The only book devoted exclusively to matrix functions, this research monograph gives a thorough treatment of the theory of matrix functions and numerical methods for computing them. The author's elegant presentation focuses on the equivalent definitions of f(A) via the Jordan canonical form, polynomial interpolation, and the Cauchy integral formula, and features an empha...

Accuracy and Stability of Numerical Algorithms
  • Language: en
  • Pages: 710

Accuracy and Stability of Numerical Algorithms

  • Type: Book
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  • Published: 2002-01-01
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  • Publisher: SIAM

Accuracy and Stability of Numerical Algorithms gives a thorough, up-to-date treatment of the behavior of numerical algorithms in finite precision arithmetic. It combines algorithmic derivations, perturbation theory, and rounding error analysis, all enlivened by historical perspective and informative quotations. This second edition expands and updates the coverage of the first edition (1996) and includes numerous improvements to the original material. Two new chapters treat symmetric indefinite systems and skew-symmetric systems, and nonlinear systems and Newton's method. Twelve new sections include coverage of additional error bounds for Gaussian elimination, rank revealing LU factorizations, weighted and constrained least squares problems, and the fused multiply-add operation found on some modern computer architectures.

Applied Parallel Computing
  • Language: en
  • Pages: 1195

Applied Parallel Computing

This book constitutes the refereed proceedings of the 7th International Conference on Applied Parallel Computing, PARA 2004, held in June 2004. The 118 revised full papers presented together with five invited lectures and 15 contributed talks were carefully reviewed and selected for inclusion in the proceedings. The papers are organized in topical sections.

Templates for the Solution of Algebraic Eigenvalue Problems
  • Language: en
  • Pages: 430

Templates for the Solution of Algebraic Eigenvalue Problems

  • Type: Book
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  • Published: 2000-01-01
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  • Publisher: SIAM

Mathematics of Computing -- Numerical Analysis.

Wang Anshi and Song Poetic Culture
  • Language: en
  • Pages: 360

Wang Anshi and Song Poetic Culture

  • Type: Book
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  • Published: 2022-03-07
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  • Publisher: BRILL

A poetic culture consists of a body of shared values and conventions that shape the composition and interpretation of poetry in a given historical period. This book on Wang Anshi (1021–1086) and Song poetic culture—the first of its kind in any Western language—brings into focus a cluster of issues that are central to the understanding of both the poet and his cultural milieu. These issues include the motivations and consequences of poetic contrarianism and the pursuit of novelty, the relationship between anthology compilation and canon formation, the entanglement of poetry with partisan politics, Buddhist orientations in poetic language, and the development of the notion of late style. Though diverse in nature and scope, the issues all bear the stamp of the period as well as Wang Anshi’s distinct personality. Conceived of largely as a series of case studies, the book’s individual chapters may be read independently of each other, but together they form a varied, if only partial, mosaic of Wang Anshi’s work and its critical reception in the larger context of Song poetic culture.

Vector and Parallel Processing - VECPAR'98
  • Language: en
  • Pages: 712

Vector and Parallel Processing - VECPAR'98

  • Type: Book
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  • Published: 2006-10-11
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  • Publisher: Springer

This book constitutes the thoroughly refereed post-conference proceedings of the Third International Conference on Vector and Parallel Processing, VECPAR'98, held in Porto, Portugal, in June 1998. The 41 revised full papers presented were carefully selected during two rounds of reviewing and revision. Also included are six invited papers and introductory chapter surveys. The papers are organized in sections on eigenvalue problems and solutions of linear systems; computational fluid dynamics, structural analysis, and mesh partitioning; computing in education; computer organization, programming and benchmarking; image analysis and synthesis; parallel database servers; and nonlinear problems.

Multi-Scale Phenomena in Complex Fluids
  • Language: en
  • Pages: 379

Multi-Scale Phenomena in Complex Fluids

Multi-Scale Phenomena in Complex Fluids is a collection of lecture notes delivered during the first two series of mini-courses from OC Shanghai Summer School on Analysis and Numerics in Modern SciencesOCO, which was held in 2004 and 2006 at Fudan University, Shanghai, China. This review volume of 5 chapters, covering various fields in complex fluids, places emphasis on multi-scale modeling, analyses and simulations. It will be of special interest to researchers and graduate students who want to work in the field of complex fluids."

On different concepts for the linearization of matrix polynomials and canonical decompositions of structured matrices with respect to indefinite sesquilinear forms
  • Language: en
  • Pages: 191

On different concepts for the linearization of matrix polynomials and canonical decompositions of structured matrices with respect to indefinite sesquilinear forms

In this thesis, a novel framework for the construction and analysis of strong linearizations for matrix polynomials is presented. Strong linearizations provide the standard means to transform polynomial eigenvalue problems into equivalent generalized eigenvalue problems while preserving the complete finite and infinite eigenstructure of the problem. After the transformation, the QZ algorithm or special methods appropriate for structured linearizations can be applied for finding the eigenvalues efficiently. The block Kronecker ansatz spaces proposed here establish an innovative and flexible approach for the construction of strong linearizations in the class of strong block minimal bases penci...

Modern Methods in Scientific Computing and Applications
  • Language: en
  • Pages: 503

Modern Methods in Scientific Computing and Applications

When we first heard in the spring of 2000 that the Seminaire de matMmatiques superieures (SMS) was interested in devoting its session of the summer of 200l-its 40th-to scientific computing the idea of taking on the organizational work seemed to us somewhat remote. More immediate things were on our minds: one of us was about to go on leave to the Courant Institute, the other preparing for a research summer in Paris. But the more we learned about the possibilities of such a seminar, the support for the organization and also the great history of the SMS, the more we grew attached to the project. The topics we planned to cover were intended to span a wide range of theoretical and practical tools...

Multi-Scale Phenomena in Complex Fluids
  • Language: en

Multi-Scale Phenomena in Complex Fluids

  • Type: Book
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  • Published: Unknown
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  • Publisher: Unknown

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