On the approximation to solutions of operator equations by the least squares method

DOI10.1007/S10688-005-0019-3zbMath1119.65336OpenAlexW2156501304MaRDI QIDQ2571495

M. L. Gorbachuk

Publication date: 11 November 2005

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-005-0019-3

zbMATH Keywords

Hilbert spaceapproximate solutiona priori estimatelinear operator equationleast squares methodclosed operatororthonormal basis of eigenvectorscoordinate systemanalytic vectorsmooth vectorcompact inverseentire vectorsimilar operatorentire vector of exponential type

Mathematics Subject Classification ID

Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50)

Cites Work

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• Analytic vectors
• Development of direct methods in mathematical physics in the works of M. P. Kravchuk

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