Solution of full and deficient rank linear equations
β Scribed by Tewarson, R. P. ;Jen, J. F.
- Publisher
- Wiley (John Wiley & Sons)
- Year
- 1988
- Tongue
- English
- Weight
- 318 KB
- Volume
- 4
- Category
- Article
- ISSN
- 0748-8025
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π SIMILAR VOLUMES
The conjugate gradient method is an ingenious method for iterative solution of sparse linear equations. It is now a standard benchmark for parallel scientific computing. In the author's opinion, the apparent mystery of this method is largely due to the inadequate way in which it is presented in text
In this paper we consider the solution of linear least squares problems min x Ax -b 2 2 where the matrix A β R mΓn is rank deficient. Put p = min{m, n}, let Ο i , i = 1, 2, . . . , p, denote the singular values of A, and let u i and v i denote the corresponding left and right singular vectors. Then
## Abstract Using a degreeβtheoretic result of Granas, a homotopy is constructed enabling us to show that if there is an __a priori__ bound on all possible __T__βperiodic solutions of a Volterra equation, then there is a __T__βperiodic solution. The __a priori__ bound is established by means of a L