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Matrix Computations
Revised and updated, the third edition of Golub and Van Loan's classic text in computer science provides essential information about the mathematical background and algorithmic skills required for the production of numerical software. This new edition includes thoroughly revised chapters on matrix multiplication problems and parallel matrix computations, expanded treatment of CS decomposition, an updated overview of floating point arithmetic, a more accurate rendition of the modified Gram-Schmidt process, and new material devoted to GMRES, QMR, and other methods designed to handle the sparse unsymmetric linear system problem.
Introduction to Scientific Computing
Unique in content and approach, this book covers all the topics that are usually covered in an introduction to scientific computing--but folds in graphics and matrix-vector manipulation in a way that gets readers to appreciate the "connection" between continuous mathematics and computing. "MATLAB 5" is used "throughout" to encourage experimentation, and each chapter focuses on a different important theorem--allowing readers to appreciate the rigorous side of scientific computing. In addition to standard topical coverage, each chapter includes 1) a sketch of a "hard" problem that involves ill-conditioning, high dimension, etc.; 2)at least one theorem with both a rigorous proof and a "proof by...
Insight Through Computing
An introduction to computer-based problem-solving using the MATLAB® environment for undergraduates.
Handbook for Matrix Computations
Provides the user with a step-by-step introduction to Fortran 77, BLAS, LINPACK, and MATLAB. It is a reference that spans several levels of practical matrix computations with a strong emphasis on examples and "hands on" experience.
Matrix Computations
Revised and updated, the third edition of Golub and Van Loan's classic text in computer science provides essential information about the mathematical background and algorithmic skills required for the production of numerical software. This new edition includes thoroughly revised chapters on matrix multiplication problems and parallel matrix computations, expanded treatment of CS decomposition, an updated overview of floating point arithmetic, a more accurate rendition of the modified Gram-Schmidt process, and new material devoted to GMRES, QMR, and other methods designed to handle the sparse unsymmetric linear system problem.
Introduction to Computational Science and Mathematics
Mathematics of Computing -- Numerical Analysis.
Templates for the Solution of Linear Systems
In this book, which focuses on the use of iterative methods for solving large sparse systems of linear equations, templates are introduced to meet the needs of both the traditional user and the high-performance specialist. Templates, a description of a general algorithm rather than the executable object or source code more commonly found in a conventional software library, offer whatever degree of customization the user may desire. Templates offer three distinct advantages: they are general and reusable; they are not language specific; and they exploit the expertise of both the numerical analyst, who creates a template reflecting in-depth knowledge of a specific numerical technique, and the computational scientist, who then provides "value-added" capability to the general template description, customizing it for specific needs. For each template that is presented, the authors provide: a mathematical description of the flow of algorithm; discussion of convergence and stopping criteria to use in the iteration; suggestions for applying a method to special matrix types; advice for tuning the template; tips on parallel implementations; and hints as to when and why a method is useful.
Loans and Credit in Consilia and Decisiones in the Low Countries (c. 1500-1680)
Based on consilia and decisiones, Wouter Druwé studies the multinormative framework on loans and credit in the Golden Ages of Antwerp and Amsterdam (c. 1500-1680). He analyzes the use of a wide variety of legal financial techniques in the Low Countries, such as money lending and the taking of interest, the constitution of annuities, cession and delegation, bearer bonds, bills of exchange, partnerships, and representation in financial affairs, as well as the consequences of monetary fluctuations. Special attention is paid to how the transregional European system of learned Roman and canon law (ius commune) was applied in daily ‘learned legal practice’. The study also deals with the prohibition against usury and with the impact of moral theology on legal debates.
Linear Algebra for Large Scale and Real-Time Applications
Proceedings of the NATO Advanced Study Institute, Leuven, Belgium, August 3-14, 1992
Numerical Matrix Analysis
Matrix analysis presented in the context of numerical computation at a basic level.
