Computer Solution of Large Linear Systems, Volume 28

1st Edition

Authors: Gerard Meurant
Hardcover ISBN: 9780444501691
eBook ISBN: 9780080529516
Imprint: North Holland
Published Date: 16th June 1999
Page Count: 776
225.00 + applicable tax
17900.00 + applicable tax
135.00 + applicable tax
170.00 + applicable tax
Unavailable
Compatible Not compatible
VitalSource PC, Mac, iPhone & iPad Amazon Kindle eReader
ePub & PDF Apple & PC desktop. Mobile devices (Apple & Android) Amazon Kindle eReader
Mobi Amazon Kindle eReader Anything else

Institutional Access


Table of Contents

Introductory Material. Vector and matrices norms. Eigenvalues. Irreducibility and diagonal dominance. M--Matrices and generalizations. Splittings. Positive definite matrices. The graph of a matrix. Chebyshev polynomials Discretization methods for partial diffential equations. Eigenvalues and Fourier analysis. Floating point arithmetic. Vector and parallel computers. BLAS and LAPACK. Bibliographical comments. Gaussian elimination for general linear systems. Introduction to Gaussian elimination. Gaussian elimination without permutations. Gaussian elimination with permutations (partial piv- oting). Gaussian elimination with other pivoting strategies. Operation counts. Gaussian elimination for symmetric systems. The outer product algorithm. The bordering algorithm. The inner product algorithm. Coding the three factorization algorithms. Positive definite systems. Indefinite systems. Gaussian elimination for H-matrices. Block methods. Tridiagonal and block tridiagonal systems. Roundoff error analysis. Perturbation analysis. Scaling. Iterative refinement. Parallel solution of general linear systems. Bibliographical comments.

Details

No. of pages:
776
Language:
English
Copyright:
© North Holland 1999
Published:
Imprint:
North Holland
eBook ISBN:
9780080529516
Hardcover ISBN:
9780444501691

About the Authors

Gerard Meurant Author