Weighted Singular Value Decomposition of Matrices with Singular Weights Based on Weighted Orthogonal Transformations

Verfasser / Beitragende:
[I. Sergienko, E. Galba]
Ort, Verlag, Jahr:
2015
Enthalten in:
Cybernetics and Systems Analysis, 51/4(2015-07-01), 514-528
Format:
Artikel (online)
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024 7 0 |a 10.1007/s10559-015-9743-8  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10559-015-9743-8 
245 0 0 |a Weighted Singular Value Decomposition of Matrices with Singular Weights Based on Weighted Orthogonal Transformations  |h [Elektronische Daten]  |c [I. Sergienko, E. Galba] 
520 3 |a Two variants of weighted singular value decompositions of matrices with singular weights using weighted orthogonal matrices are obtained and analyzed. Based on this singular value decompositions of matrices, decomposition of weighted pseudoinverse matrices with singular weights and decomposition of these matrices into matrix power series and products are obtained. The application of these decompositions is determined. 
540 |a Springer Science+Business Media New York, 2015 
690 7 |a weighted singular value decomposition of matrices with singular weights  |2 nationallicence 
690 7 |a weighted pseudoinverse matrices with singular weights  |2 nationallicence 
690 7 |a weighted normal pseudosolutions  |2 nationallicence 
690 7 |a weighted orthogonal transformations  |2 nationallicence 
690 7 |a matrix power series  |2 nationallicence 
690 7 |a matrix power products  |2 nationallicence 
690 7 |a regularized problems  |2 nationallicence 
700 1 |a Sergienko  |D I.  |u V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine  |4 aut 
700 1 |a Galba  |D E.  |u V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine  |4 aut 
773 0 |t Cybernetics and Systems Analysis  |d Springer US; http://www.springer-ny.com  |g 51/4(2015-07-01), 514-528  |x 1060-0396  |q 51:4<514  |1 2015  |2 51  |o 10559 
856 4 0 |u https://doi.org/10.1007/s10559-015-9743-8  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10559-015-9743-8  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Sergienko  |D I.  |u V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Galba  |D E.  |u V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Cybernetics and Systems Analysis  |d Springer US; http://www.springer-ny.com  |g 51/4(2015-07-01), 514-528  |x 1060-0396  |q 51:4<514  |1 2015  |2 51  |o 10559