Tikhonov regularization via flexible Arnoldi reduction
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| 001 | 605497060 | ||
| 003 | CHVBK | ||
| 005 | 20210128100539.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20151201xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s10543-014-0542-9 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10543-014-0542-9 | ||
| 245 | 0 | 0 | |a Tikhonov regularization via flexible Arnoldi reduction |h [Elektronische Daten] |c [Lothar Reichel, Xuebo Yu] |
| 520 | 3 | |a Flexible GMRES, introduced by Saad, is a generalization of the standard GMRES method for the solution of large linear systems of equations. It is based on the flexible Arnoldi process for reducing a large square matrix to a small matrix. We describe how the flexible Arnoldi process can be applied to implement one-parameter and multi-parameter Tikhonov regularization of linear discrete ill-posed problems. The method proposed is well suited for large-scale problems. Moreover, computed examples show that our method can give approximate solutions of higher accuracy than available direct methods for small-scale problems. | |
| 540 | |a Springer Science+Business Media Dordrecht, 2014 | ||
| 690 | 7 | |a Ill-posed problem |2 nationallicence | |
| 690 | 7 | |a Tikhonov regularization |2 nationallicence | |
| 690 | 7 | |a Arnoldi process |2 nationallicence | |
| 690 | 7 | |a Flexible GMRES |2 nationallicence | |
| 700 | 1 | |a Reichel |D Lothar |u Department of Mathematical Sciences, Kent State University, 44242, Kent, OH, USA |4 aut | |
| 700 | 1 | |a Yu |D Xuebo |u Department of Mathematical Sciences, Kent State University, 44242, Kent, OH, USA |4 aut | |
| 773 | 0 | |t BIT Numerical Mathematics |d Springer Netherlands |g 55/4(2015-12-01), 1145-1168 |x 0006-3835 |q 55:4<1145 |1 2015 |2 55 |o 10543 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10543-014-0542-9 |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/s10543-014-0542-9 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Reichel |D Lothar |u Department of Mathematical Sciences, Kent State University, 44242, Kent, OH, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Yu |D Xuebo |u Department of Mathematical Sciences, Kent State University, 44242, Kent, OH, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t BIT Numerical Mathematics |d Springer Netherlands |g 55/4(2015-12-01), 1145-1168 |x 0006-3835 |q 55:4<1145 |1 2015 |2 55 |o 10543 | ||