Existence and uniqueness of weighted pseudoinverse matrices with nonsingular indefinite weights / Khimich, / Nikolaevskaya. (2020)
Ukrainian

English  Cybernetics and Systems Analysis   /     Issue (2020, 56 (3))

Khimich A.N., Nikolaevskaya E.A.
Existence and uniqueness of weighted pseudoinverse matrices with nonsingular indefinite weights

The problem of weighted least squares with positive definite weights M and N for matrices of arbitrary form and rank is analyzed. The existence and uniqueness of the M-weighted least-squares solution with a minimal N-norm of the system Ax = b are proved. © 2020, Springer Science+Business Media, LLC, part of Springer Nature.

Keywords: weighted least squares problem, weighted normal pseudosolution, weighted pseudoinverse, Cybernetics, Existence and uniqueness, N-norms, Positive definite, Weighted least squares, Weighted least squares solutions, Weighted normal pseudosolutions, Computer science


Cite:
Khimich A.N., Nikolaevskaya E.A. (2020). Existence and uniqueness of weighted pseudoinverse matrices with nonsingular indefinite weights. Cybernetics and Systems Analysis, 56 (3), 141–151. doi: https://doi.org/10.1007/s10559-020-00270-5 http://jnas.nbuv.gov.ua/article/UJRN-0001121526 [In Russian].


 

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