By transforming nonsymmetric linear systems to the extended skew-symmetric ones, we present the skew-symmetric methods for solving nonsymmetric linear systems with multiple right-hand sides. These methods are based on the block and global Arnoldi algorithm which is formed by implementing orthogonal
Smoothing iterative block methods for linear systems with multiple right-hand sides
β Scribed by K. Jbilou
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 135 KB
- Volume
- 107
- Category
- Article
- ISSN
- 0377-0427
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π SIMILAR VOLUMES
s) Block IDR(s) a b s t r a c t The IDR(s) based on the induced dimension reduction (IDR) theorem, is a new class of efficient algorithms for large nonsymmetric linear systems. IDR(1) is mathematically equivalent to BiCGStab at the even IDR(1) residuals, and IDR(s) with s > 1 is competitive with mos
The EN method proposed by Eirola and Nevanlinna is extended to a block version for solving nonsymmetric linear systems with multiple right-hand sides. Some basic properties of the block-EN method are shown. We use the deflation technique in the block-EN method to delete linearly dependent vectors in
We consider solution of multiply shifted systems of nonsymmetric linear equations, possibly also with multiple right-hand sides. First, for a single right-hand side, the matrix is shifted by several multiples of the identity. Such problems arise in a number of applications, including lattice quantum