Error estimation for a weighted minimum-norm least squares solution with positive definite weights

DOI10.1134/S0965542509030038zbMath1224.65109MaRDI QIDQ2995661

E. A. Nikolaevskaya, A. N. Khimich

Publication date: 4 May 2011

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

error estimatesperturbed matrixinconsistent system of linear algebraic equationsrank modificationsweighted minimum-norm least squares solution

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20)

Related Items (10)

Weighted pseudoinversion with singular weights ⋮ Existence and uniqueness of weighted pseudoinverses with nonsingular indefinite weights ⋮ Existence and uniqueness of weighted normal pseudosolutions ⋮ Weighted pseudoinversion with indefinite weights ⋮ Expansions of weighted pseudoinverses with mixed weights into matrix power series and power products ⋮ Methods for computing weighted pseudoinverses and weighted normal pseudosolutions with singular weights ⋮ Solution bounds for overdetermined slae with inexact right-hand side ⋮ 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

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