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Volumn 431, Issue 3-4, 2009, Pages 396-408

Preconditioning constrained eigenvalue problems

Author keywords

Eigenvalues; Eigenvectors; Linear equality constraints; Preconditioning; Projection

Indexed keywords

EIGENVALUES; EIGENVECTORS; LINEAR EQUALITY CONSTRAINTS; PRECONDITIONING; PROJECTION;

EID: 67349164332     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2009.02.018     Document Type: Article
Times cited : (7)

References (21)
  • 1
    • 21844487170 scopus 로고
    • Eigenvalues of block matrices arising from problems in fluid mechanics
    • Cliffe K.A., Garratt T.J., and Spence A. Eigenvalues of block matrices arising from problems in fluid mechanics. SIAM J. Matrix Anal. Appl. 15 (1994) 1310-1318
    • (1994) SIAM J. Matrix Anal. Appl. , vol.15 , pp. 1310-1318
    • Cliffe, K.A.1    Garratt, T.J.2    Spence, A.3
  • 3
    • 0033472157 scopus 로고    scopus 로고
    • A comparison of solvers for large eigenvalue problems occurring in the design of resonant cavities
    • 10.1002/(SICI)1099-1506(199901/02)6:1<3::AID-NLA142>3.0.CO;2- I
    • Arbenz P., and Geus R. A comparison of solvers for large eigenvalue problems occurring in the design of resonant cavities. Numer. Linear Algebra Appl. 6 (1999) 3-16 10.1002/(SICI)1099-1506(199901/02)6:1<3::AID-NLA142>3.0.CO;2- I
    • (1999) Numer. Linear Algebra Appl. , vol.6 , pp. 3-16
    • Arbenz, P.1    Geus, R.2
  • 5
    • 0001976163 scopus 로고
    • A shifted block Lanczos algorithm for solving sparse symmetric generalized eigenproblems
    • Grimes R., Lewis J.G., and Simon H. A shifted block Lanczos algorithm for solving sparse symmetric generalized eigenproblems. SIAM J. Matrix Anal. Appl. 15 (1994) 228-272
    • (1994) SIAM J. Matrix Anal. Appl. , vol.15 , pp. 228-272
    • Grimes, R.1    Lewis, J.G.2    Simon, H.3
  • 6
    • 0019696962 scopus 로고
    • Eigenproblems associated with the discrete LBB condition for incompressible finite elements
    • Malkus D. Eigenproblems associated with the discrete LBB condition for incompressible finite elements. Internat. J. Engrg. Sci. 19 (1981) 1299-1310
    • (1981) Internat. J. Engrg. Sci. , vol.19 , pp. 1299-1310
    • Malkus, D.1
  • 7
    • 0039500754 scopus 로고    scopus 로고
    • Implicitly restarted Arnoldi and purification for the shift-invert transformation
    • Meerbergen K., and Spence A. Implicitly restarted Arnoldi and purification for the shift-invert transformation. Math. Comput. 66 (1997) 667-689
    • (1997) Math. Comput. , vol.66 , pp. 667-689
    • Meerbergen, K.1    Spence, A.2
  • 8
    • 20044390432 scopus 로고    scopus 로고
    • Numerical solution of saddle point problems
    • Benzi M., Golub G., and Liesen J. Numerical solution of saddle point problems. Acta Numer. 14 (2005) 1-137
    • (2005) Acta Numer. , vol.14 , pp. 1-137
    • Benzi, M.1    Golub, G.2    Liesen, J.3
  • 9
    • 33646374284 scopus 로고    scopus 로고
    • Finite Elements and Fast Iterative Solvers with Applications in Incompressible Fluid Dynamics
    • Oxford University Press
    • Elman H.C., Silvester D.J., and Wathen A.J. Finite Elements and Fast Iterative Solvers with Applications in Incompressible Fluid Dynamics. Numerical Mathematics and Scientific Computation (2005), Oxford University Press
    • (2005) Numerical Mathematics and Scientific Computation
    • Elman, H.C.1    Silvester, D.J.2    Wathen, A.J.3
  • 12
    • 24944533500 scopus 로고    scopus 로고
    • A comparison of eigensolvers for large-scale 3d modal analysis using AMG-preconditioned iterative methods
    • 10.1002/nme.1365
    • Arbenz P., Hetmaniuk U.L., Lehoucq R.B., and Tuminaro R.S. A comparison of eigensolvers for large-scale 3d modal analysis using AMG-preconditioned iterative methods. Internat. J. Numer. Methods Engrg. 64 2 (2005) 204-236 10.1002/nme.1365
    • (2005) Internat. J. Numer. Methods Engrg. , vol.64 , Issue.2 , pp. 204-236
    • Arbenz, P.1    Hetmaniuk, U.L.2    Lehoucq, R.B.3    Tuminaro, R.S.4
  • 13
    • 0026765817 scopus 로고
    • An orthogonal accelerated deflation technique for large symmetric eigenvalue problem
    • Gambolati G., Sartoretto F., and Florian P. An orthogonal accelerated deflation technique for large symmetric eigenvalue problem. Comput. Methods Appl. Mech. Engrg. 94 (1992) 13-23
    • (1992) Comput. Methods Appl. Mech. Engrg. , vol.94 , pp. 13-23
    • Gambolati, G.1    Sartoretto, F.2    Florian, P.3
  • 14
    • 0034385436 scopus 로고    scopus 로고
    • Approximate inverse preconditioning in the parallel solution of sparse eigenproblems
    • Bergamaschi L., Pini G., and Sartoretto F. Approximate inverse preconditioning in the parallel solution of sparse eigenproblems. Numer. Linear Algebra Appl. 7 3 (2000) 99-116
    • (2000) Numer. Linear Algebra Appl. , vol.7 , Issue.3 , pp. 99-116
    • Bergamaschi, L.1    Pini, G.2    Sartoretto, F.3
  • 15
    • 0036223489 scopus 로고    scopus 로고
    • Toward the optimal preconditioned eigensolver: locally optimal block preconditioned conjugate gradient method
    • Knyazev A. Toward the optimal preconditioned eigensolver: locally optimal block preconditioned conjugate gradient method. SIAM J. Sci. Comput. 23 (2001) 517-541
    • (2001) SIAM J. Sci. Comput. , vol.23 , pp. 517-541
    • Knyazev, A.1
  • 16
    • 5344230920 scopus 로고
    • The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices
    • Davidson E.R. The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices. J. Comput. Phys. 17 (1975) 87-94
    • (1975) J. Comput. Phys. , vol.17 , pp. 87-94
    • Davidson, E.R.1
  • 17
    • 0030560293 scopus 로고    scopus 로고
    • A Jacobi-Davidson iteration method for linear eigenvalue problems
    • Sleijpen G.L.G., and van der Vorst H.A. A Jacobi-Davidson iteration method for linear eigenvalue problems. SIAM J. Matrix Anal. Appl. 17 2 (1996) 401-425
    • (1996) SIAM J. Matrix Anal. Appl. , vol.17 , Issue.2 , pp. 401-425
    • Sleijpen, G.L.G.1    van der Vorst, H.A.2
  • 18
    • 34548526602 scopus 로고    scopus 로고
    • Trust-region methods on Riemannian manifolds
    • 10.1007/s10208-005-0179-9
    • Absil P.-A., Baker C.G., and Gallivan K.A. Trust-region methods on Riemannian manifolds. Found. Comput. Math. 7 3 (2007) 303-330 10.1007/s10208-005-0179-9
    • (2007) Found. Comput. Math. , vol.7 , Issue.3 , pp. 303-330
    • Absil, P.-A.1    Baker, C.G.2    Gallivan, K.A.3
  • 19
    • 0034319898 scopus 로고    scopus 로고
    • The trace minimization method for the symmetric generalized eigenvalue problem
    • Sameh A., and Tong Z. The trace minimization method for the symmetric generalized eigenvalue problem. J. Comput. Appl. Math. 123 (2000) 155-175
    • (2000) J. Comput. Appl. Math. , vol.123 , pp. 155-175
    • Sameh, A.1    Tong, Z.2
  • 20
    • 0009148594 scopus 로고
    • A trace minimization algorithm for the generalized eigenvalue problem
    • Sameh A.H., and Wisniewski J.A. A trace minimization algorithm for the generalized eigenvalue problem. SIAM J. Numer. Anal. 19 6 (1982) 1243-1259
    • (1982) SIAM J. Numer. Anal. , vol.19 , Issue.6 , pp. 1243-1259
    • Sameh, A.H.1    Wisniewski, J.A.2
  • 21
    • 67349261452 scopus 로고    scopus 로고
    • Dynamical systems and non-hermitian iterative eigensolvers
    • Embree M., and Lehoucq R.B. Dynamical systems and non-hermitian iterative eigensolvers. SIAM J. Numer. Anal. 47 2 (2009) 1445-1473
    • (2009) SIAM J. Numer. Anal. , vol.47 , Issue.2 , pp. 1445-1473
    • Embree, M.1    Lehoucq, R.B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.