Reliability analysis of computer solutions of systems of linear algebraic equations with approximate initial data

DOI10.1007/s10559-008-9062-4zbMath1176.65049OpenAlexW2091353132MaRDI QIDQ1008365

E. A. Nikolaevskaya, A. N. Khimich

Publication date: 27 March 2009

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-008-9062-4

zbMATH Keywords

global errorweighted least squares problemweighted normal pseudosolutionweighted pseudoinverse matrix

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20)

Related Items (10)

Weighted pseudoinversion with singular weights ⋮ Adaptive computer technologies for solving problems of computational and applied mathematics ⋮ Existence and uniqueness of weighted pseudoinverses with nonsingular indefinite weights ⋮ Existence and uniqueness of weighted normal pseudosolutions ⋮ Expansions of weighted pseudoinverses with mixed weights into matrix power series and power products ⋮ Inverse diffraction problem of determining the properties of a plasma object ⋮ Methods for computing weighted pseudoinverses and weighted normal pseudosolutions with singular weights ⋮ Iterative methods to calculate weighted pseudoinverses with mixed weights ⋮ Weighted singular value decomposition of matrices with singular weights based on weighted orthogonal transformations ⋮ Multidimensional scaling by means of pseudoinverse operations

Cites Work

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• A weighted pseudoinverse, generalized singular values, and constrained least squares problems
• Some topics on weighted Moore-Penrose inverse, weighted least squares and weighted regularized Tikhonov problems
• Perturbation Theory for the Least Squares Problem with Linear Equality Constraints
• Generalizing the Singular Value Decomposition
• A weighted pseudoinverse for complex matrices

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