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Least Squares Approximate and Least Norm Solutions of Paired Singular Equations

โœ Scribed by Frank-Olme Speck

Publisher
John Wiley and Sons
Year
1987
Tongue
English
Weight
977 KB
Volume
130
Category
Article
ISSN
0025-584X

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โœฆ Synopsis

Suinmary. Paired operators T = d , P + A 2 & on a HILBERT spzce are studied where P is a projector, P+Q = I , and the coefficients are linear invertible operators. The MOORE-PENXOSE inverse of T can be obtained explicitly from a factorization of the coefficients, which is equivalent to the normal solvability of T and occurs in numerous applications. As an example, systems of singular integral equations of CAUCHY type are anolysized in detail. *) This work has been supported by a grant of DFG under grant number Me %1/4-1

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