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Varenyuk, N. A.; Galba, Ye. F.; Sergienko, I. V.; Tukalevs’ka, N. I.
Iterative method for calculation of weighted pseudoinverse matrices with mixed weights on the basis of their decompositions into matrix power series. (Ukrainian. English summary) Zbl 07277684
Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2020, No. 8, 19-25 (2020).
MSC:  15A09 15A15 65F20
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\textit{N. A. Varenyuk} et al., Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2020, No. 8, 19--25 (2020; Zbl 07277684)
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Babenko, V. N.
On the structure of closeness estimates for pseudosolutions of initial and perturbed systems of linear algebraic equations. (English. Russian original) Zbl 1428.15002
Comput. Math. Math. Phys. 59, No. 9, 1399-1421 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 9, 1459-1481 (2019).
MSC:  15A06 65F05 65F20
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\textit{V. N. Babenko}, Comput. Math. Math. Phys. 59, No. 9, 1399--1421 (2019; Zbl 1428.15002); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 9, 1459--1481 (2019)
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Galba, E. F.; Vareniuk, N. A.
Representing weighted pseudoinverse matrices with mixed weights in terms of other pseudoinverses. (English. Russian original) Zbl 1393.15006
Cybern. Syst. Anal. 54, No. 2, 185-192 (2018); translation from Kibern. Sist. Anal. 2018, No. 2, 17-25 (2018).
MSC:  15A09
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\textit{E. F. Galba} and \textit{N. A. Vareniuk}, Cybern. Syst. Anal. 54, No. 2, 185--192 (2018; Zbl 1393.15006); translation from Kibern. Sist. Anal. 2018, No. 2, 17--25 (2018)
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Fritzsche, Bernd; Kirstein, Bernd; Mädler, Conrad
On matrix-valued Stieltjes functions with an emphasis on particular subclasses. (English) Zbl 06731155
Bini, Dario A. (ed.) et al., Large truncated Toeplitz matrices, Toeplitz operators, and related topics. The Albrecht Böttcher anniversary volume. Basel: Birkhäuser/Springer (ISBN 978-3-319-49180-6/hbk; 978-3-319-49182-0/ebook). Operator Theory: Advances and Applications 259, 301-352 (2017).
MSC:  47A57 30E05 44A60
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\textit{B. Fritzsche} et al., Oper. Theory: Adv. Appl. 259, 301--352 (2017; Zbl 06731155)
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Sergienko, I. V.; Galba, E. F.
Weighted singular value decomposition of matrices with singular weights based on weighted orthogonal transformations. (English. Russian original) Zbl 1337.15012
Cybern. Syst. Anal. 51, No. 4, 514-528 (2015); translation from Kibern. Sist. Anal. 2015, No. 4, 28-43 (2015).
Reviewer: Drahoslava Janovská (Praha)
MSC:  15A18 65F20 15A09
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\textit{I. V. Sergienko} and \textit{E. F. Galba}, Cybern. Syst. Anal. 51, No. 4, 514--528 (2015; Zbl 1337.15012); translation from Kibern. Sist. Anal. 2015, No. 4, 28--43 (2015)
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Monsalve, Marlliny; Raydan, Marcos
A secant method for nonlinear matrix problems. (English) Zbl 1251.65076
Van Dooren, Paul (ed.) et al., Numerical linear algebra in signals, systems and control. Selected papers based on the presentations at the international workshop, Kharagpur, India, January 9–11, 2007. In honor of Prof. Biswa Nath Datta. New York, NY: Springer (ISBN 978-94-007-0601-9/hbk; 978-94-007-0602-6/ebook). Lecture Notes in Electrical Engineering 80, 387-402 (2011).
MSC:  65H10
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\textit{M. Monsalve} and \textit{M. Raydan}, Lect. Notes Electr. Eng. 80, 387--402 (2011; Zbl 1251.65076)
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Sergienko, I. V.; Galba, E. F.; Deineka, V. S.
Existence and uniqueness of weighted pseudoinverse matrices and weighted normal pseudosolutions with singular weights. (English. Russian original) Zbl 1264.15007
Ukr. Math. J. 63, No. 1, 98-124 (2011); translation from Ukr. Mat. Zh. 63, No. 1, 80-101 (2011).
MSC:  15A09 65F20
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\textit{I. V. Sergienko} et al., Ukr. Math. J. 63, No. 1, 98--124 (2011; Zbl 1264.15007); translation from Ukr. Mat. Zh. 63, No. 1, 80--101 (2011)
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Steeb, Willi-Hans; Hardy, Yorick
Matrix calculus and Kronecker product. A practical approach to linear and multilinear algebra. 2nd ed. (English) Zbl 1239.15017
Hackensack, NJ: World Scientific (ISBN 978-981-4335-31-7/hbk). xiv, 308 p. (2011).
Reviewer: Jaspal Singh Aujla (Jalandhar)
MSC:  15A69 15-02 68W30 82B20 65T50 15A18 15A60 65F25 15A09
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\textit{W.-H. Steeb} and \textit{Y. Hardy}, Matrix calculus and Kronecker product. A practical approach to linear and multilinear algebra. 2nd ed. Hackensack, NJ: World Scientific (2011; Zbl 1239.15017)
Bijev, G.
Some applications of matrix - and computer algebra in relation theory. (English) Zbl 1191.68887
Todorov, Michail D. (ed.), Applications of mathematics in engineering and economics ’34. Proceedings of the 34th international conference (AMEE ’08), Sozopol, Bulgaria, 8–14 June 2008. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0598-1/hbk). AIP Conference Proceedings 1067, 503-509 (2008).
MSC:  68W30
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\textit{G. Bijev}, AIP Conf. Proc. 1067, 503--509 (2008; Zbl 1191.68887)
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Khimich, A. N.; Nikolaevskaya, E. A.
Reliability analysis of computer solutions of systems of linear algebraic equations with approximate initial data. (English. Russian original) Zbl 1176.65049
Cybern. Syst. Anal. 44, No. 6, 863-874 (2008); translation from Kibern. Sist. Anal. 2008, No. 6, 83-95 (2008).
MSC:  65F20
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\textit{A. N. Khimich} and \textit{E. A. Nikolaevskaya}, Cybern. Syst. Anal. 44, No. 6, 863--874 (2008; Zbl 1176.65049); translation from Kibern. Sist. Anal. 2008, No. 6, 83--95 (2008)
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Sergienko, I. V.; Galba, E. F.; Deineka, V. S.
Representations and expansions of weighted pseudoinverse matrices, iterative methods, and problem regularization. II. singular weights. (English. Russian original) Zbl 1155.65030
Cybern. Syst. Anal. 44, No. 3, 375-396 (2008); translation from Kibern. Sist. Anal. 2008, No. 3, 75-102 (2008).
Reviewer: Petko Hr. Petkov (Sofia)
MSC:  65F20 15A09
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\textit{I. V. Sergienko} et al., Cybern. Syst. Anal. 44, No. 3, 375--396 (2008; Zbl 1155.65030); translation from Kibern. Sist. Anal. 2008, No. 3, 75--102 (2008)
Full Text: DOI
Sergienko, I. V.; Galba, E. F.; Deineka, V. S.
Representations and expansions of weighted pseudoinverse matrices, iterative methods, and problem regularization. I. positive definite weights. (English. Russian original) Zbl 1155.65029
Cybern. Syst. Anal. 44, No. 1, 36-55 (2008); translation from Kibern. Sist. Anal. 2008, No. 1, 47-73 (2008).
Reviewer: Petko Hr. Petkov (Sofia)
MSC:  65F20 15A09
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\textit{I. V. Sergienko} et al., Cybern. Syst. Anal. 44, No. 1, 36--55 (2008; Zbl 1155.65029); translation from Kibern. Sist. Anal. 2008, No. 1, 47--73 (2008)
Full Text: DOI
Bijev, G.
Some applications of semigroups and computer algebra in matrix theory. (English) Zbl 1179.15018
Todorov, Michail D. (ed.), Applications of mathematics in engineering and economics’33. 33rd international conference, Sozopol, Bulgaria, 8–14 June 2007. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0460-1/hbk). AIP Conference Proceedings 946, 263-270 (2007).
MSC:  15A30 20M20 15A09 65F30 68W30
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\textit{G. Bijev}, AIP Conf. Proc. 946, 263--270 (2007; Zbl 1179.15018)
Kirichenko, N. F.; Donchenko, V. S.
Pseudoinverse in clustering problems. (English. Russian original) Zbl 1141.15311
Cybern. Syst. Anal. 43, No. 4, 527-541 (2007); translation from Kibern. Sist. Anal. 2007, No. 4, 73-92 (2007).
Reviewer: Juan Ramon Torregrosa Sanchez (Valencia)
MSC:  15A09 15A03 62H10 62H30 62H25
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\textit{N. F. Kirichenko} and \textit{V. S. Donchenko}, Cybern. Syst. Anal. 43, No. 4, 527--541 (2007; Zbl 1141.15311); translation from Kibern. Sist. Anal. 2007, No. 4, 73--92 (2007)
Full Text: DOI
Sergienko, I. V.; Galba, E. F.; Deineka, V. S.
Expansion of weighted pseudoinverse matrices with positive definite weights into matrix power products. iterative methods. (English. Russian original) Zbl 1127.15004
Cybern. Syst. Anal. 43, No. 1, 34-49 (2007); translation from Kibern. Sist. Anal. 43, No. 1, 45-64 (2007).
Reviewer: Mohammad Sal Moslehian (Mashhad)
MSC:  15A09 65F20
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\textit{I. V. Sergienko} et al., Cybern. Syst. Anal. 43, No. 1, 34--49 (2007; Zbl 1127.15004); translation from Kibern. Sist. Anal. 43, No. 1, 45--64 (2007)
Full Text: DOI
Karandzhulov, L. I.; Stoyanova, Ya. P.
The generalized Cauchy problem for singularly perturbed impulsive systems in the critical case. (Russian, English) Zbl 1115.34010
Sib. Mat. Zh. 47, No. 2, 329-351 (2006); translation in Sib. Math. J. 47, No. 2, 269-290 (2006).
MSC:  34A37 34E05
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\textit{L. I. Karandzhulov} and \textit{Ya. P. Stoyanova}, Sib. Mat. Zh. 47, No. 2, 329--351 (2006; Zbl 1115.34010); translation in Sib. Math. J. 47, No. 2, 269--290 (2006)
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Sergienko, I. V.; Galba, E. F.; Deineka, V. S.
Series expansion of weighted pseudoinverse matrices and iterative methods for calculating weighted pseudoinverse matrices and weighted normal pseudosolutions. (English. Russian original) Zbl 1108.65034
Cybern. Syst. Anal. 42, No. 1, 28-53 (2006); translation from Kibern. Sist. Anal. 2006, No. 1, 32-62 (2006).
Reviewer: Otu Vaarmann (Tallinn)
MSC:  65F20 15A09
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\textit{I. V. Sergienko} et al., Cybern. Syst. Anal. 42, No. 1, 28--53 (2006; Zbl 1108.65034); translation from Kibern. Sist. Anal. 2006, No. 1, 32--62 (2006)
Full Text: DOI
Galba, T. F.; Deineka, V. S.; Sergienko, I. V.
Fast convergent iterative methods for the computation of weighted pseudoinverse matrices and weighted normal pseudosolutions with singular weights. (Russian, English) Zbl 1089.65034
Zh. Vychisl. Mat. Mat. Fiz. 45, No. 10, 1731-1755 (2005); translation in Comput. Math. Math. Phys. 45, No. 10, 1667-1690 (2005).
Reviewer: Sergei Georgievich Zhuravlev (Moskva)
MSC:  65F20
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\textit{T. F. Galba} et al., Zh. Vychisl. Mat. Mat. Fiz. 45, No. 10, 1731--1755 (2005; Zbl 1089.65034); translation in Comput. Math. Math. Phys. 45, No. 10, 1667--1690 (2005)
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