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Guaranteed Accuracy in Numerical Linear Algebra

Language EnglishEnglish
Book Paperback
Book Guaranteed Accuracy in Numerical Linear Algebra S.K. Godunov
Libristo code: 02650543
Publishers Springer Netherlands, November 2012
This volume deals with the theory of algorithms for solving systems of linear algebraic equations ha... Full description
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This volume deals with the theory of algorithms for solving systems of linear algebraic equations having a non-full-rank matrix of coefficients. This involves a range of interesting problems, such as the bidiagonalization of matrices, the computation of singular values and eigenvalues, procedures for the deflation of singular values, etc. The algorithms which are discussed in this book lead to computer programs, which guarantee the accuracy of the computations, leading to unambiguous solutions. Some of the algorithms and techniques described are new; for example, the bounds which include underflow effects. Also discussed is a new approach for computing reliable eigenvectors from Sturm sequences of a symmetric tridiagonal matrix, and a procedure for characterizing unitary transformations which maintain Hessenberg form.§For researchers whose work involves numerical methods of linear algebra.§

About the book

Full name Guaranteed Accuracy in Numerical Linear Algebra
Language English
Binding Book - Paperback
Date of issue 2012
Number of pages 537
EAN 9789401048637
ISBN 9401048630
Libristo code 02650543
Weight 817
Dimensions 160 x 240 x 28
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