SCOPUS 정보 검색 플랫폼 - 논문 보기

메뉴 건너뛰기

Numerische Mathematik

Volumn 60, Issue 1, 1991, Pages 315-339

QMR: a quasi-minimal residual method for non-Hermitian linear systems

(2) Freund, Roland W a,b Nachtigal, Noël M c

a NASA AMES RESEARCH CENTER (United States)

b UNIVERSITY OF WÜRZBURG (Germany)

c MASSACHUSETTS INSTITUTE OF TECHNOLOGY (United States)

Author keywords

Mathematics Subject Classification (1991): 65F10

Indexed keywords

EID: 25444452938 PISSN: 0029599X EISSN: 09453245 Source Type: Journal
DOI: 10.1007/BF01385726 Document Type: Article

Times cited : (738)

References (25)

1
- 0024621631
- Sparse matrix test problems
- (1989) ACM Trans. Math. Softw. , vol.15 , pp. 1-14
- Duff, I.S.¹ Grimes, R.G.² Lewis, J.G.³

2
- 0021416130
- Necessary and sufficient conditions for the existence of a conjugate gradient method
- (1984) SIAM J. Numer. Anal. , vol.21 , pp. 352-362
- Faber, V.¹ Manteuffel, T.²

3
- 0001618930
- On the constrained Chebyshev approximation problem on ellipses
- (1990) J. Approx. Theory , vol.62 , pp. 297-315
- Fischer, B.¹ Freund, R.W.²

4
- 0002308279
- Conjugate gradient methods for indefinite systems
- G. A., Watson, Lecture Notes in Mathematics, 506, Springer, Berlin Heidelberg New York
- (1976) Numerical Analysis Dundee 1975 , pp. 73-89
- Fletcher, R.¹

5
- 84935972311
- Freund, R.W. (1989): Conjugate gradient type methods for linear systems with complex symmetric coefficient matrices. Technical Report 89.54, RIACS, NASA Ames Research Center

6
- 84935973248
- Freund, R.W., Gutknecht, M.H., Nachtigal, N.M. (1990): An implementation of the lookahead Lanczos algorithm for non-Hermitian matrices, Part. I. Technical Report 90.45, RIACS, NASA Ames Research Center

7
- 84935966656
- Freund, R.W., Nachtigal, N.M. (1990): An implementation of the look-ahead Lanczos algorithm for non-Hermitian matrices, Part II. Technical Report 90.46, RIACS, NASA Ames Research Center

8
- 0004236492
- The Johns Hopkins University Press, Baltimore
- (1983) Matrix computations
- Golub, G.H.¹ Van Loan, C.F.²

9
- 84935939725
- Gutknecht, M.H. (1990): A completed theory of the unsymmetric Lanczos process and related algorithms, Part II. IPS Research Report No. 90-16, Zürich

10
- 84935956472
- Gutknecht, M.H. (1990): A completed theory of the unsymmetric Lanczos process and related algorithms, Part II. IPS Research Report No. 90-16, Zürich

11
- 0000135303
- Methods of conjugate gradients for solving linear systems
- (1952) Journal of Research of the National Bureau of Standards , vol.49 , pp. 409-436
- Hestenes, M.R.¹ Stiefel, E.²

12
- 0000094594
- An iteration method for the solution of the eigenvalue problem of linear differential and integral operators
- (1950) Journal of Research of the National Bureau of Standards , vol.45 , pp. 255-282
- Lanczos, C.¹

13
- 0002814189
- Solution of systems of linear equations by minimized iterations
- (1952) Journal of Research of the National Bureau of Standards , vol.49 , pp. 33-53
- Lanczos, C.¹

14
- 0001256129
- The Tchebychev iteration for nonsymmetric linear systems
- (1977) Numer. Math. , vol.28 , pp. 307-327
- Manteuffel, T.A.¹

15
- 84966225158
- An interative solution for linear systems of which the coefficient matrix is a symmetric M-matrix
- (1977) Math. Comp. , vol.31 , pp. 148-162
- Meijerink, J.A.¹ van der Vorst, H.A.²

16
- 0016555955
- Solution of sparse indefinite systems of linear equations
- (1975) SIAM J. Numer. Anal. , vol.12 , pp. 617-629
- Paige, C.C.¹ Saunders, M.A.²

17
- 84935945751
- Parlett, B.N. (1990): Reduction to tridiagonal form and minimal realizations. Preprint, Berkeley

18
- 84966231631
- A look-ahead Lanczos algorithm for unsymmetric matrices
- (1985) Math. Comp. , vol.44 , pp. 105-124
- Parlett, B.N.¹ Taylor, D.R.² Liu, Z.A.³

19
- 0000271198
- The Lanczos biorthogonalization algorithm and other oblique projection methods for solving large unsymmetric systems
- (1982) SIAM Journal on Numerical Analysis , vol.19 , pp. 485-506
- Saad, Y.¹

20
- 84935963068
- Saad, Y. (1990): SPARSKIT: a basic tool kit for sparse matrix computations. Technical Report 90.20, RIACS, NASA Ames Research Center

21
- 0000048673
- GMRES a generalized minimal residual algorithm for solving nonsymmetric linear systems
- (1986) SIAM Journal on Scientific and Statistical Computing , vol.7 , pp. 856-869
- Saad, Y.¹ Schultz, M.H.²

22
- 0002716979
- CGS, a fast Lanczos-type solver for nonsymmetric linear systems
- (1989) SIAM Journal on Scientific and Statistical Computing , vol.10 , pp. 36-52
- Sonneveld, P.¹

23
- 0003820738
- University of California, Berkeley
- (1982) Analysis of the look ahead Lanczos algorithm
- Taylor, D.R.¹

24
- 84935941657
- van der Vorst, H.A. (1990): Bi-CGSTAB: A fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems. Preprint, Utrecht

25
- 0003660674
- Oxford University Press, Oxford
- (1965) The Algebraic Eigenvalue Problem
- Wilkinson, J.H.¹

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.