17 / 21
В.Д. Сулимов, П.М. Шкапов, А.В. Сулимов
62
ISSN 1812-3368. Вестник МГТУ им. Н.Э. Баумана. Сер. Естественные науки. 2016. № 5
4.
Dax A.
From eigenvalues to singular values: a review // Advances in Pure Mathematics.
2013. Vol. 3. P. 8–24.
5.
Dieci L., Elia C.
The singular value decomposition to approximate spectra of dynamical
systems. Theoretical aspects // Journal of Differential Equations. 2006. Vol. 230. No. 2.
P. 502–531.
6.
Gu M.
Subspace iteration randomization and singular value problems // SIAM Journal
on Scientific Computing. 2015. Vol. 37. No. 3. P. A1139–A1173.
7.
Polyakova A.
Reconstruction of potential part of 3D vector field by using singular value de-
composition // Journal of Physics: Conference Series. 2013. Vol. 410. P. 012015.
DOI: 10.1088/1742-6596/410/1/012015
8.
Derevtsov E.Y., Efimov A.V., Louis A.K., Schuster T.
Singular value decomposition and
its application to numerical inversion for ray transforms in 2D vector tomography // Journal
of Inverse and Ill-posed Problems. 2011. Vol. 19. No. 4-5. P. 689–715.
9.
Мироновский Л.А., Соловьева Т.Н.
Анализ кратности ганкелевых сингулярных чисел
управляемых систем // Автоматика и телемеханика. 2015. Т. 76. № 2. С. 18–31.
10.
Miszczak J.A
. Singular value decomposition and matrix reorderings in quantum infor-
mation theory // International Journal of Modern Physics C. 2011.
DOI: 10.1142/S0129183111016663
11.
Lee N., Cichocki A.
Estimating a few extreme singular values and vectors for large-scale
matrices in tensor train format // SIAM Journal on Matrix Analysis and Applications. 2015.
Vol. 36. No. 3. P. 994–1014.
12.
Montaño E., Salas M., Sóto R.L.
Nonnegative matrices with prescribed extremal singular
values // Computers and Mathematics with Applications. 2008. Vol. 56. No. 1. P. 30–42.
13.
Lewis A.S., Sendov H.S.
Nonsmooth analysis of singular values // Set-Valued and Varia-
tional Analysis. 2005. Vol. 13. No. 3. P. 213–241.
14.
Chen X., Li W
. Sensitivity analysis for the generalized singular value decomposition // Nu-
merical Linear Algebra with Applications. 2013. Vol. 20. No. 1. P. 138–149.
15.
Zhang L., Zhang N., Xiao X.
On the second-order directional derivatives of singular values
of matrices and symmetric matrix-valued functions // Set-Valued and Variational Analysis.
2013. Vol. 21. No. 3. P. 557–586.
16.
Chu M.T., Lin M.M., Wang L.
A study of singular spectrum analysis with global optimiza-
tion techniques // Journal of Global Optimization. 2014. Vol. 60. No. 2. P. 551–574.
17.
Liang Q., Ye Q.
Computing singular values of large matrices with an inverse-free precondi-
tioned Krylov subspace method // Electronic Transactions on Numerical Analysis. 2014.
Vol. 42. P. 197–221.
18.
Wu L., Stathopoulos A.
A preconditioned hybrid SVD method for computing accurately
singular triplets of large matrices // SIAM Journal on Scientific Computing. 2015. Vol. 37.
No. 5. P. S365–S388.
19.
Floudas C.A., Gounaris C.E
. A review of recent advances in global optimization // Journal
of Global Optimization. 2009. Vol. 45. No. 1. P. 3–38.
20.
Lera D., Sergeev Ya.D
. Deterministic global optimization using space-filling curves and
multiple estimates of Lipschitz and Hölder constants // Computations in Nonlinear Science
and Numerical Simulations. 2015. Vol. 23. No. 1–3. P. 326–342.