SCOPUS 정보 검색 플랫폼

Volumn 21, Issue 1, 1999, Pages 166-177

Solving generalized least-squares problems with LSQR

Author keywords

Generalized least squares problem; Linear least squares problem; LSQR; MINRES; Schur complement; Sparse matrix

Indexed keywords

EID: 0033233442 PISSN: 08954798 EISSN: None Source Type: Journal
DOI: 10.1137/S0895479897321830 Document Type: Article

Times cited : (29)

References (11)

1
- 0003808436
- Wiley-Teubner Series Advances in Numerical Mathematics, John Wiley & Sons, Chichester; Teubner, Stuttgart
- B. FISCHER, Polynomial Based Iteration Methods for Symmetric Linear Systems, Wiley-Teubner Series Advances in Numerical Mathematics, John Wiley & Sons, Chichester; Teubner, Stuttgart, 1996.
- (1996) Polynomial Based Iteration Methods for Symmetric Linear Systems
- Fischer, B.¹

2
- 0000382130
- Minimum, residual methods for augmented systems
- B. FISCHER, A. RAMAGE, D. J. SILVESTER, AND A. J. WATHEN, Minimum, residual methods for augmented systems, BIT, 38 (1998), pp. 527 543.
- (1998) BIT , vol.38 , pp. 527-543
- Fischer, B.¹ Ramage, A.² Silvester, D.J.³ Wathen, A.J.⁴

3
- 0000288016
- Calculating the singular values and pseudo-inverse of a matrix
- G. GOLUB AND W. KAHAN, Calculating the singular values and pseudo-inverse of a matrix, SIAM J. Numer. Anal., 2 (1965), pp. 205-224.
- (1965) SIAM J. Numer. Anal. , vol.2 , pp. 205-224
- Golub, G.¹ Kahan, W.²

4
- 0004236492
- John Hopkins University Press, Baltimore
- G. H. GOLUB AND C. F. VAN LOAN, Matrix Computations, 2nd ed., John Hopkins University Press, Baltimore, 1989.
- (1989) Matrix Computations, 2nd Ed.
- Golub, G.H.¹ Van Loan, C.F.²

5
- 0000135303
- Methods of conjugate gradients for solving linear systems
- M. HESTENES AND E. STIEFEL, Methods of conjugate gradients for solving linear systems, J. Research Natl. Bur. Standards, 49 (1952), pp. 409-436.
- (1952) J. Research Natl. Bur. Standards , vol.49 , pp. 409-436
- Hestenes, M.¹ Stiefel, E.²

6
- 0000094594
- An iteration method for the solution of the eigenvalue problem of linear differential and integral operators
- C. LANCZOS, An iteration method for the solution of the eigenvalue problem of linear differential and integral operators, J. Research Natl. Bur. Standards, 45 (1950), pp. 255-282.
- (1950) J. Research Natl. Bur. Standards , vol.45 , pp. 255-282
- Lanczos, C.¹

7
- 0001536792
- Fast numerically stable computations for generalized linear least squares problems
- C. PAIGE, Fast numerically stable computations for generalized linear least squares problems, SIAM J. Numer. Anal., 16 (1979), pp. 165-171.
- (1979) SIAM J. Numer. Anal. , vol.16 , pp. 165-171
- Paige, C.¹

8
- 0016555955
- Solution of sparse indefinite systems of linear equations
- C. PAIGE AND M. SAUNDERS, Solution of sparse indefinite systems of linear equations, SIAM J. Numer. Anal., 12 (1975), pp. 617-629.
- (1975) SIAM J. Numer. Anal. , vol.12 , pp. 617-629
- Paige, C.¹ Saunders, M.²

9
- 0039943513
- LSQR: An algorithm for sparse linear equations and sparse least squares
- C. PAIGE AND M. SAUNDERS, LSQR: An algorithm for sparse linear equations and sparse least squares, ACM Trans. Math. Software, 8 (1982), pp. 43-71.
- (1982) ACM Trans. Math. Software , vol.8 , pp. 43-71
- Paige, C.¹ Saunders, M.²

10
- 0000307001
- Solution of sparse rectangular systems using lSQR and CRAIG
- M. A. SAUNDERS, Solution of sparse rectangular systems using LSQR and CRAIG, BIT, 7 (1995), pp. 588-604.
- (1995) BIT , vol.7 , pp. 588-604
- Saunders, M.A.¹

11
- 0000021772
- Realistic eigenvalue bounds for the Galerkin mass matrix
- A. WATHEN, Realistic eigenvalue bounds for the Galerkin mass matrix, IMA J. Numer. Anal., 7 (1987), pp. 449-457.
- (1987) IMA J. Numer. Anal. , vol.7 , pp. 449-457
- Wathen, A.¹

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.