Weighted Singular Value Decomposition of Matrices with Singular Weights Based on Weighted Orthogonal Transformations
Gespeichert in:
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)
Online Zugang:
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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 |
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| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
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| 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 | ||