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Lower and upper bounds for the perturbation of linear operators equations

✍ Scribed by Jiu Ding

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
202 KB
Volume
17
Category
Article
ISSN
0893-9659

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✦ Synopsis

Let X and Y be Banach spaces, and let T : X -Y be a bounded linear operator with closed range.

In this paper, we give optimal lower and upper bounds for the perturbation of consistent operator equations Tz = 1/, and more general least-squares problems in Hilbert spaces.

πŸ“œ SIMILAR VOLUMES

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Upper and lower bounds to quantum mechanical second order perturbation quantities are found using the method of Linear Programming. In this paper bounds on the polarizability of hydrogen, helium and neon are obtained using the sum rules popularized by Dalgarno.