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Matrix Computations and Semiseparable Matrices

2008-01-14 Mathematics
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Release : 2008-01-14
Genre : Mathematics
Kind : eBook
Book Rating : 797/5 ( reviews)

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Book Synopsis Matrix Computations and Semiseparable Matrices by : Raf Vandebril

Download or read book Matrix Computations and Semiseparable Matrices written by Raf Vandebril. This book was released on 2008-01-14. Available in PDF, EPUB and Kindle. Book excerpt: In recent years several new classes of matrices have been discovered and their structure exploited to design fast and accurate algorithms. In this new reference work, Raf Vandebril, Marc Van Barel, and Nicola Mastronardi present the first comprehensive overview of the mathematical and numerical properties of the family's newest member: semiseparable matrices. The text is divided into three parts. The first provides some historical background and introduces concepts and definitions concerning structured rank matrices. The second offers some traditional methods for solving systems of equations involving the basic subclasses of these matrices. The third section discusses structured rank matrices in a broader context, presents algorithms for solving higher-order structured rank matrices, and examines hybrid variants such as block quasiseparable matrices. An accessible case study clearly demonstrates the general topic of each new concept discussed. Many of the routines featured are implemented in Matlab and can be downloaded from the Web for further exploration.

Matrix Computations and Semiseparable Matrices

2008-12-15 Mathematics
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Release : 2008-12-15
Genre : Mathematics
Kind : eBook
Book Rating : 800/5 ( reviews)

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Book Synopsis Matrix Computations and Semiseparable Matrices by : Raf Vandebril

Download or read book Matrix Computations and Semiseparable Matrices written by Raf Vandebril. This book was released on 2008-12-15. Available in PDF, EPUB and Kindle. Book excerpt: The general properties and mathematical structures of semiseparable matrices were presented in volume 1 of Matrix Computations and Semiseparable Matrices. In volume 2, Raf Vandebril, Marc Van Barel, and Nicola Mastronardi discuss the theory of structured eigenvalue and singular value computations for semiseparable matrices. These matrices have hidden properties that allow the development of efficient methods and algorithms to accurately compute the matrix eigenvalues. This thorough analysis of semiseparable matrices explains their theoretical underpinnings and contains a wealth of information on implementing them in practice. Many of the routines featured are coded in Matlab and can be downloaded from the Web for further exploration.

Matrix Computations and Semiseparable Matrices

Download Matrix Computations and Semiseparable Matrices PDF Online Free

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Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Matrix Computations and Semiseparable Matrices by : Raf Vandebril

Download or read book Matrix Computations and Semiseparable Matrices written by Raf Vandebril. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt:

Matrix Computations

1996-10-15 Mathematics
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Release : 1996-10-15
Genre : Mathematics
Kind : eBook
Book Rating : 149/5 ( reviews)

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Book Synopsis Matrix Computations by : Gene H. Golub

Download or read book Matrix Computations written by Gene H. Golub. This book was released on 1996-10-15. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Exploiting Hidden Structure in Matrix Computations: Algorithms and Applications

2017-01-24 Mathematics
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Release : 2017-01-24
Genre : Mathematics
Kind : eBook
Book Rating : 878/5 ( reviews)

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Book Synopsis Exploiting Hidden Structure in Matrix Computations: Algorithms and Applications by : Michele Benzi

Download or read book Exploiting Hidden Structure in Matrix Computations: Algorithms and Applications written by Michele Benzi. This book was released on 2017-01-24. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on special matrices and matrices which are in some sense `near’ to structured matrices, this volume covers a broad range of topics of current interest in numerical linear algebra. Exploitation of these less obvious structural properties can be of great importance in the design of efficient numerical methods, for example algorithms for matrices with low-rank block structure, matrices with decay, and structured tensor computations. Applications range from quantum chemistry to queuing theory. Structured matrices arise frequently in applications. Examples include banded and sparse matrices, Toeplitz-type matrices, and matrices with semi-separable or quasi-separable structure, as well as Hamiltonian and symplectic matrices. The associated literature is enormous, and many efficient algorithms have been developed for solving problems involving such matrices. The text arose from a C.I.M.E. course held in Cetraro (Italy) in June 2015 which aimed to present this fast growing field to young researchers, exploiting the expertise of five leading lecturers with different theoretical and application perspectives.

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