عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9789401048637
(Number (ISBN
9789401119528
NATIONAL BIBLIOGRAPHY NUMBER
Number
b408781
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Guaranteed Accuracy in Numerical Linear Algebra
General Material Designation
[Book]
First Statement of Responsibility
by S. K. Godunov, A. G. Antonov, O. P. Kiriljuk, V. I. Kostin.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Dordrecht :
Name of Publisher, Distributor, etc.
Imprint: Springer,
Date of Publication, Distribution, etc.
1993.
SERIES
Series Title
Mathematics and Its Applications ;
Volume Designation
252
CONTENTS NOTE
Text of Note
1 Singular Value Decomposition -- 2 Systems of Linear Equations -- 3 Deflation Algorithms for Band Matrices -- 4 Sturm Sequences of Tridiagonal Matrices -- 5 Peculiarities of Computer Computations.
0
SUMMARY OR ABSTRACT
Text of Note
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.
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
9789401048637
PIECE
Title
Springer eBooks
TOPICAL NAME USED AS SUBJECT
Computer science.
Electronic data processing.
Matrix theory.
PERSONAL NAME - PRIMARY RESPONSIBILITY
Godunov, S. K.
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Antonov, A. G.
Kiriljuk, O. P.
Kostin, V. I.
CORPORATE BODY NAME - ALTERNATIVE RESPONSIBILITY
SpringerLink (Online service)
ORIGINATING SOURCE
Date of Transaction
20190301082800.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
