caa a22 4500 605518998 CHVBK 20210128100728.0 cr unu---uuuuu 210128e20150701xx s 000 0 eng 10.1007/s10559-015-9743-8 doi (NATIONALLICENCE)springer-10.1007/s10559-015-9743-8 Weighted Singular Value Decomposition of Matrices with Singular Weights Based on Weighted Orthogonal Transformations [Elektronische Daten] [I. Sergienko, E. Galba] 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. Springer Science+Business Media New York, 2015 weighted singular value decomposition of matrices with singular weights nationallicence weighted pseudoinverse matrices with singular weights nationallicence weighted normal pseudosolutions nationallicence weighted orthogonal transformations nationallicence matrix power series nationallicence matrix power products nationallicence regularized problems nationallicence Sergienko I. V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine aut Galba E. V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine aut Cybernetics and Systems Analysis Springer US; http://www.springer-ny.com 51/4(2015-07-01), 514-528 1060-0396 51:4<514 2015 51 10559 https://doi.org/10.1007/s10559-015-9743-8 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10559-015-9743-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Sergienko I. V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine aut NATIONALLICENCE 700 1- Galba E. V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine aut NATIONALLICENCE 773 0- Cybernetics and Systems Analysis Springer US; http://www.springer-ny.com 51/4(2015-07-01), 514-528 1060-0396 51:4<514 2015 51 10559