Polynomial approximations to functions of operators.
To solve the linear equation Ax = f, where f is an element of Hilbert space H and A is a positive definite operator such that the spectrum (T (A) ( [m,M] , we approximate -1 the inverse operator A by an operator V which is a polynomial in A. Using the spectral theory of bounded normal operators the...
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| Language: | en |
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2012
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| Online Access: | http://hdl.handle.net/10413/5140 |