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A method for maximizing matrix columns. (English. Russian original) Zbl 1182.65066

J. Math. Sci., New York 162, No. 5, 664-668 (2009); translation from Fundam. Prikl. Mat. 14, No. 2, 113-119 (2008).
Summary: We describe a singular-value decomposition method, where one-side rotation is used. The algorithm is also applied for a symmetrical spectral problem for matrices.

MSC:

65F20 Numerical solutions to overdetermined systems, pseudoinverses
65F15 Numerical computation of eigenvalues and eigenvectors of matrices
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References:

[1] J. W. Demmel, Applied Numerical Linear Algebra, SIAM, Philadelphia (1997).
[2] V. N. Faddeeva and L. J. Kolotilina, Numerical Methods of Linear Algebra. A Set of Matrices for Testing [in Russian], issues I–III, LOMI, Leningrad (1982). · Zbl 0533.65012
[3] G. H. Golub and C. F. van Loan, Matrix Computations, John Hopkins Univ. Press, Baltimore (1989). · Zbl 0733.65016
[4] V. G. Lezhnev, ”A method of solving the algebraic spectral problem,” in: Numerical Methods of Analysis [in Russian], Izd. Mosk. Univ., Moscow (1995), pp. 16–22.
[5] V. G. Lezhnev and A. G. Nesterenko, ”Some estimate for generalized algebraic spectral problem,” in: Spectral and Evaluational Problems, Proc. of the 7th Crimean Autumn Mathematical School-Symphosium, Simferopol (1997), pp. 61–62.
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