Backward perturbation analysis and residual-based error bounds for the linear response eigenvalue problem
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| 024 | 7 | 0 | |a 10.1007/s10543-014-0519-8 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10543-014-0519-8 | ||
| 245 | 0 | 0 | |a Backward perturbation analysis and residual-based error bounds for the linear response eigenvalue problem |h [Elektronische Daten] |c [Lei-Hong Zhang, Wen-Wei Lin, Ren-Cang Li] |
| 520 | 3 | |a The numerical solution of a large scale linear response eigenvalue problem is often accomplished by computing a pair of deflating subspaces associated with the interesting part of the spectrum. This paper is concerned with the backward perturbation analysis for a given pair of approximate deflating subspaces or an approximate eigenquadruple. Various optimal backward perturbation bounds are obtained, as well as bounds for approximate eigenvalues computed through the pair of approximate deflating subspaces or approximate eigenquadruple. These results are reminiscent of many existing classical ones for the standard eigenvalue problem. | |
| 540 | |a Springer Science+Business Media Dordrecht, 2014 | ||
| 690 | 7 | |a Linear response eigenvalue problem |2 nationallicence | |
| 690 | 7 | |a Eigenvalue approximation |2 nationallicence | |
| 690 | 7 | |a Rayleigh-Ritz approximation |2 nationallicence | |
| 690 | 7 | |a Backward perturbation |2 nationallicence | |
| 690 | 7 | |a Error bound |2 nationallicence | |
| 690 | 7 | |a Deflating subspace |2 nationallicence | |
| 700 | 1 | |a Zhang |D Lei-Hong |u School of Mathematics, Shanghai University of Finance and Economics, 777 Guoding Road, 200433, Shanghai, People's Republic of China |4 aut | |
| 700 | 1 | |a Lin |D Wen-Wei |u Department of Applied Mathematics, National Chiao Tung University, No.1001 University Road, 30013, Hsinchu, Taiwan |4 aut | |
| 700 | 1 | |a Li |D Ren-Cang |u Department of Mathematics, University of Texas at Arlington, P.O. Box 19408, 76019-0408, Arlington, TX, USA |4 aut | |
| 773 | 0 | |t BIT Numerical Mathematics |d Springer Netherlands |g 55/3(2015-09-01), 869-896 |x 0006-3835 |q 55:3<869 |1 2015 |2 55 |o 10543 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10543-014-0519-8 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10543-014-0519-8 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Zhang |D Lei-Hong |u School of Mathematics, Shanghai University of Finance and Economics, 777 Guoding Road, 200433, Shanghai, People's Republic of China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Lin |D Wen-Wei |u Department of Applied Mathematics, National Chiao Tung University, No.1001 University Road, 30013, Hsinchu, Taiwan |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Li |D Ren-Cang |u Department of Mathematics, University of Texas at Arlington, P.O. Box 19408, 76019-0408, Arlington, TX, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t BIT Numerical Mathematics |d Springer Netherlands |g 55/3(2015-09-01), 869-896 |x 0006-3835 |q 55:3<869 |1 2015 |2 55 |o 10543 | ||