Expressions and Bounds for the GMRES Residual

By Ilse C. F. Ipsen. BIT Numerical Mathematics, 2000

53 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Computational Theory and Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/f3602c3a572ebe2f0e7da2343db63c20d18152d2

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In Atomic and Molecular Physics, and Optics

1. Valeria Simoncini
2. Daniel B. Szyld
3. Maxim A. Olshanskii
4. James Martens
5. Bart Vandereycken
6. André Uschmajew
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In Computational Theory and Mathematics

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5. Maxim A. Olshanskii
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In Numerical Analysis

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2. Daniel B. Szyld
3. Peter Benner
4. Bart Vandereycken
5. Christine Tobler
6. Daniel Kressner
7. L. Beirão da Veiga
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Citations in the corpus

• Recent computational developments in Krylov subspace methods for linear systems (2007, background): “Especially in the case of highly non-normal matrices, however, this bound may be a very poor estimate of the actual convergence, because ‖X‖ ‖X−1‖ may be very large irrespective of the value of ‖rm‖; see also Ipsen [187].”