@article{ZNSL_2008_359_a7,
author = {L. Yu. Kolotilina},
title = {On circuit inclusion sets for the singular values of a~square matrix},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {78--93},
year = {2008},
volume = {359},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2008_359_a7/}
}
L. Yu. Kolotilina. On circuit inclusion sets for the singular values of a square matrix. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXI, Tome 359 (2008), pp. 78-93. http://geodesic.mathdoc.fr/item/ZNSL_2008_359_a7/
[1] L. Yu. Kolotilina, “Problema vyrozhdennosti/nevyrozhdennosti dlya matrits, udovletvoryayuschikh usloviyam diagonalnogo preobladaniya, formuliruemym v terminakh orientirovannykh grafov”, Zap. nauchn. semin. POMI, 309, POMI, SPb., 2004, 40–83 | MR | Zbl
[2] L. Yu. Kolotilina, “Mnozhestva, soderzhaschie singulyarnyi spektr kvadratnoi matritsy”, Zap. nauchn. semin. POMI, 359, POMI, SPb., 2008, 52–77 | MR
[3] R. A. Brualdi, “Matrices, eigenvalues, and directed graphs”, Linear Multilinear Algebra, 11 (1982), 143–165 | DOI | MR | Zbl
[4] H.-B. Li, T.-Z. Huang, H. Li, “Inclusion sets for singular values”, Linear Algebra Appl., 428 (2008), 2220–2235 | DOI | MR | Zbl
[5] H.-B. Li, T.-Z. Huang, H. Li, S.-Q. Shen, “Optimal Gerschgorin-type inclusion intervals of singular values”, Numer. Linear Algebra Appl., 14 (2007), 115–128 | DOI | MR | Zbl
[6] J. S. Li, K. Yang, Q.-X. Wang, “Digraphs and inclusion intervals of Brualdi-type for singular values”, Acta Math. Appl. Sin., 18 (2002), 471–476 | DOI | MR | Zbl
[7] L. Li, “The undirected graph and estimates of matrix singular values”, Linear Algebra Appl., 285 (1998), 181–188 | DOI | MR | Zbl
[8] L. L. Li, “Estimation of matrix singular values”, Comput. Math. Appl., 37 (1999), 9–15 | MR
[9] W. Li, Q. Chang, “Inclusion intervals of singular values and applications”, Comput. Math. Appl., 45 (2003), 1637–1646 | DOI | MR | Zbl
[10] L. Qi, “Some simple estimates for singular values of a matrix”, Linear Algebra Appl., 56 (1984), 105–119 | DOI | MR | Zbl