Sinossi
There exists a vast literature on numerical methods of linear algebra. In our bibliography list, which is by far not complete, we included some monographs on the subject [46], [15], [32], [39], [11], [21]. The present book is devoted to the theory of algorithms for a single problem of linear algebra, namely, for the problem of solving systems of linear equations with non-full-rank matrix of coefficients. The solution of this problem splits into many steps, the detailed discussion of which are interest ing problems on their own (bidiagonalization of matrices, computation of singular values and eigenvalues, procedures of deflation of singular values, etc. ). Moreover, the theory of algorithms for solutions of the symmetric eigenvalues problem is closely related to the theory of solv ing linear systems (Householder's algorithms of bidiagonalization and tridiagonalization, eigenvalues and singular values, etc. ). It should be stressed that in this book we discuss algorithms which to computer programs having the virtue that the accuracy of com lead putations is guaranteed. As far as the final program product is con cerned, this means that the user always finds an unambiguous solution of his problem. This solution might be of two kinds: 1. Solution of the problem with an estimate of errors, where abso lutely all errors of input data and machine round-offs are taken into account. 2.
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Contenuti
Introduction. 1. Singular Value Decomposition. 2. Systems of Linear Equations. 3. Delfation Algorithms for Band Matrices. 4. Sturm Sequences of Tridiagonal Matrices. 5. Pecularities of Computer Computations. Bibliography. Index.
Product Description
Book by Godunov SK Antonov AG Kiriljuk OP Kostin VI
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -There exists a vast literature on numerical methods of linear algebra. In our bibliography list, which is by far not complete, we included some monographs on the subject [46], [15], [32], [39], [11], [21]. The present book is devoted to the theory of algorithms for a single problem of linear algebra, namely, for the problem of solving systems of linear equations with non-full-rank matrix of coefficients. The solution of this problem splits into many steps, the detailed discussion of which are interest ing problems on their own (bidiagonalization of matrices, computation of singular values and eigenvalues, procedures of deflation of singular values, etc. ). Moreover, the theory of algorithms for solutions of the symmetric eigenvalues problem is closely related to the theory of solv ing linear systems (Householder's algorithms of bidiagonalization and tridiagonalization, eigenvalues and singular values, etc. ). It should be stressed that in this book we discuss algorithms which to computer programs having the virtue that the accuracy of com lead putations is guaranteed. As far as the final program product is con cerned, this means that the user always finds an unambiguous solution of his problem. This solution might be of two kinds: 1. Solution of the problem with an estimate of errors, where abso lutely all errors of input data and machine round-offs are taken into account. 2. 554 pp. Englisch. Codice articolo 9780792323525
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Gebunden. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. There exists a vast literature on numerical methods of linear algebra. In our bibliography list, which is by far not complete, we included some monographs on the subject [46], [15], [32], [39], [11], [21]. The present book is devoted to the theory of algori. Codice articolo 5966832
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Condizione: New. Deals with the theory of algorithms for solving systems of linear algebraic equations having a non-fill-rank matrix of co-efficients. The algorithms discussed in this book lead to computer programs which guarantee the accuracy of the computations, leading to unambiguous solutions. Series: Mathematics and its Applications. Num Pages: 537 pages, biography. BIC Classification: PBF. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 30. Weight in Grams: 951. . 1993. Hardback. . . . . Codice articolo V9780792323525
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