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The field of values bound on ideal GMRES

Liesen, Jörg...

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The field of values bound on ideal GMRES by Liesen, Jörg ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	11-08-2023
Summary	A widely known result of Elman, and its improvements due to Starke, Eiermann and Ernst, gives a bound on the worst-case GMRES residual norm using quantities related to the field of values of the given matrix and its inverse. We prove that these bounds also hold for the ideal GMRES approximation, and we derive and discuss some improvements of the bounds.
ISBN	-
Item Type	Article
File Type	pdf
File Size	30.00 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1211.5969

Citation

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AMA 11th EditionReferences

Liesen, Jörg. The field of values bound on ideal GMRES. Australian National University. August 11, 2023. Accessed October 02, 2025. https://online.provdatabase.com/cite/16048

APA 7th EditionReferences

Liesen, Jörg. (2023). The field of values bound on ideal GMRES. Australian National University. https://online.provdatabase.com/cite/16048

Chicago 17th EditionReferences

Liesen, Jörg. The field of values bound on ideal GMRES. Australian National University. 2023. https://online.provdatabase.com/cite/16048

HarvardReferences

Liesen, Jörg. (2023). The field of values bound on ideal GMRES. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/16048. (Accessed 02 October 2025).

Harvard AustraliaReferences

Liesen, Jörg, 2023, The field of values bound on ideal GMRES, Australian National University, viewed 02 October 2025, <https://online.provdatabase.com/cite/16048>

MLA 9th EditionWorks Cited

Liesen, Jörg. The field of values bound on ideal GMRES. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/16048.

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