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Article

Keywords:
biorthogonalization; linear equations; biconjugate gradient method
Summary:

References:
[Brezn–94] C. Brezinski, M. Redivo-Zaglia: Treatment of near-breakdown in the CGS algorithm. Numerical Algorithms 7 (1994), 33–73. MR 1283334
[Fletch–76] R. Fletcher: Conjugate gradient methods for indefinite systems. Numerical Analysis, Dundee, 1975, G. A. Watson (ed.), Vol. 506 of Lecture Notes in Mathematics, Springer, Berlin, 1976. MR 0461857 | Zbl 0326.65033
[Gutkn–97] M. H. Gutknecht: Lanczos-type Solvers for Nonsymmetric Linear Systems of Equations. Technical Report TR-97-04, Swiss Center for Scientific Computing ETH-Zentrum, Switzerland, 1997. MR 1489258 | Zbl 0888.65030
[Lancz–50] C. Lanczos: An iteration method for the solution of eigenvalue problem of linear differential and integral operators. J. Res. Nat. Bureau Standards 45 (1950). MR 0042791
[Lancz–52] C. Lanczos: Solution of systems of linear equations by minimized iterations. J. Res. Nat. Bureau Standards 49 (1952). MR 0051583
[Leary–80] D. P. O‘Leary: The block conjugate gradient algorithm. Linear Algebra Appl. 99 (1980), 293–322. MR 0562766
[Tichý–97] P. Tichý: Behaviour of BiCG and CGS algorithms. Mgr. thesis, Department of Numerical Mathematics, Faculty of Mathematics and Physics Praha, 1997.
[Weiss–95] R. Weiss: A theoretical overview of Krylov subspace methods. Applied Numerical Mathematics 19 (1995), 207–233. MR 1374350 | Zbl 0854.65031
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