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Kublanovskaya, Vera Nikolaevna
(1920–2012)
Professor
Doctor of physico-mathematical sciences (1974)
Speciality: 01.01.07 (Computing mathematics)
Birth date: 21.11.1920
Website: https://www.mathnet.ru/links/858fac93cc044c0e8fb2faee0adb4f09/zvmmf9802.pdf
Keywords: eigenvalues; eigenvectors; invariant polynomials; structural indeces; poles; spectra regular and singular; polinomial solutions; free and minimal bases of nullspace of polynomial solutions; metods of rank and irreducible factorizations.

Subject:

The metod to solve eigenvalue problem arbitrary matrix (the QR-method) and its extension for regular linear pencils of matrices (the AB-method) have been suggested.

Biography

Academic Background. University Studies 1944–1948, Faculty of Mathematics and Mechanics, Leningrad State University. Ph.D. (Kandidate of 1955, Leningrad State University) in Phisics and Matematics (Thesis tetle: "Application of analytical prolongation in numerical analysis"). Doctor of Sciense (of 1974, Leningrad State University) in Physics and Matematics (Thesis tetle: "Application of orthogonal transformations to solving problems of algebra"). 1984, hedersdoktorer of the Umea University. Academic Positions. 1948–1955 junior researcher, Leningrad Branch of Steclov Mathematical Institute. 1956–1986 senior researcher, Leningrad Branch of Steclov Mathematical Institute. 1986–up to now leading researcher, St. Petersburg Branch of Steclov Mathematical Institute. 1976–1994 Professor, St. Petersburg State Marine Technical University. Has more than 120 scientific publications.

In 1985 I was awarded an honorary doctorate at the Universitet of Umea, Sweden. I is one of editor of mathematicul journal "Zap. nauchn. seminar. POMI" (section numerical methods).
   
Main publications:
  • Kublanovskaya V. N. The AB-algoritm and its modifications for spectral problems of linear pencils of matrices // Numer. Math., 1984, 43, 329–342.
  • Kublanovskaya V. N. Rank-devision algorithms and their applications // J. Numer. Lin. Algebra Appl., 1992, 1, no. 2, 199–213.

https://www.mathnet.ru/eng/person17458
https://ru.wikipedia.org/wiki/Kublanovskaya_Vera_Nikolaevna
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/202202
https://elibrary.ru/author_items.asp?authorid=6134

Publications in Math-Net.Ru Citations
2012
1. V. N. Kublanovskaya, “To solving problems of algebra for two-parameter matrices. 10”, Zap. Nauchn. Sem. POMI, 405 (2012),  170–185  mathnet  mathscinet; J. Math. Sci. (N. Y.), 191:1 (2013), 92–100  scopus 1
2. V. N. Kublanovskaya, “To solving spectral problems for $q$-parameter polynomial matrices. 3”, Zap. Nauchn. Sem. POMI, 405 (2012),  164–169  mathnet  mathscinet; J. Math. Sci. (N. Y.), 191:1 (2013), 89–91  scopus 1
2011
3. V. N. Kublanovskaya, V. B. Khazanov, “To solving spectral problems for $q$-parameter polynomial matrices. 2”, Zap. Nauchn. Sem. POMI, 395 (2011),  162–171  mathnet  mathscinet; J. Math. Sci. (N. Y.), 182:6 (2012), 834–838  scopus 3
4. V. N. Kublanovskaya, “To solving the eigenvalue problem for polynomial matrices of general form”, Zap. Nauchn. Sem. POMI, 395 (2011),  154–161  mathnet  mathscinet; J. Math. Sci. (N. Y.), 182:6 (2012), 830–833  scopus 1
5. V. N. Kublanovskaya, “To solving inverse eigenvalue problems for matrices”, Zap. Nauchn. Sem. POMI, 395 (2011),  142–153  mathnet  mathscinet; J. Math. Sci. (N. Y.), 182:6 (2012), 823–829  scopus 1
6. V. N. Kublanovskaya, “To solving problems of algebra for two-parameter matrices. 9”, Zap. Nauchn. Sem. POMI, 395 (2011),  124–141  mathnet  mathscinet; J. Math. Sci. (N. Y.), 182:6 (2012), 814–822  scopus 3
2010
7. V. N. Kublanovskaya, “To solving spectral problems for $q$-parameter polynomial matrices”, Zap. Nauchn. Sem. POMI, 382 (2010),  168–183  mathnet; J. Math. Sci. (N. Y.), 176:1 (2011), 93–101  scopus 4
8. V. N. Kublanovskaya, “To solving problems of algebra for two-parameter matrices. 8”, Zap. Nauchn. Sem. POMI, 382 (2010),  150–167  mathnet; J. Math. Sci. (N. Y.), 176:1 (2011), 83–92  scopus 6
9. V. N. Kublanovskaya, V. B. Khazanov, “To solving problems of algebra for two-parameter matrices. 7”, Zap. Nauchn. Sem. POMI, 382 (2010),  141–149  mathnet; J. Math. Sci. (N. Y.), 176:1 (2011), 78–82  scopus 3
2009
10. V. N. Kublanovskaya, V. B. Khazanov, “To solving problems of algebra for two-parameter matrices. 6”, Zap. Nauchn. Sem. POMI, 367 (2009),  171–186  mathnet; J. Math. Sci. (N. Y.), 165:5 (2010), 589–596  scopus 1
11. V. N. Kublanovskaya, “To solving problems of algebra for two-parameter matrices. 5”, Zap. Nauchn. Sem. POMI, 367 (2009),  145–170  mathnet; J. Math. Sci. (N. Y.), 165:5 (2010), 574–588  scopus 2
12. V. N. Kublanovskaya, “To solving problems of algebra for two-parameter matrices. 4”, Zap. Nauchn. Sem. POMI, 367 (2009),  121–144  mathnet; J. Math. Sci. (N. Y.), 165:5 (2010), 562–573  scopus 7
2008
13. V. N. Kublanovskaya, V. B. Khazanov, “To solving problems of algebra for two-parameter matrices. 3”, Zap. Nauchn. Sem. POMI, 359 (2008),  166–207  mathnet  zmath; J. Math. Sci. (N. Y.), 157:5 (2009), 761–783  scopus 4
14. V. N. Kublanovskaya, “To solving problems of algebra for two-parameter matrices. 2”, Zap. Nauchn. Sem. POMI, 359 (2008),  150–165  mathnet  zmath; J. Math. Sci. (N. Y.), 157:5 (2009), 753–760  scopus 3
15. V. N. Kublanovskaya, “To solving problems of algebra for two-parameter polynomial matrices. 1”, Zap. Nauchn. Sem. POMI, 359 (2008),  107–149  mathnet  zmath; J. Math. Sci. (N. Y.), 157:5 (2009), 731–752  scopus 9
2007
16. V. N. Kublanovskaya, “To solving multiparameter problems of algebra. 11. Computing the regular spectrum of a polynomial matrix”, Zap. Nauchn. Sem. POMI, 346 (2007),  131–148  mathnet  mathscinet; J. Math. Sci. (N. Y.), 150:2 (2008), 1989–1997  scopus 2
17. V. N. Kublanovskaya, “To solving multiparameter problems of algebra. 10. Computing zeros of a scalar polynomial”, Zap. Nauchn. Sem. POMI, 346 (2007),  119–130  mathnet  mathscinet; J. Math. Sci. (N. Y.), 150:2 (2008), 1982–1988  scopus 2
2006
18. V. N. Kublanovskaya, V. B. Khazanov, “To solving inverse eigenvalue problems for parametric matrices”, Zap. Nauchn. Sem. POMI, 334 (2006),  174–192  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 141:6 (2007), 1668–1677  scopus 3
19. V. N. Kublanovskaya, “To solving multiparameter problems of algebra. 9. The $\Psi F$-$q$ method for factorizing invariant polynomials and its applications”, Zap. Nauchn. Sem. POMI, 334 (2006),  165–173  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 141:6 (2007), 1663–1667  scopus 1
20. V. N. Kublanovskaya, “To solving multiparameter problems of algebra. 8. The $RP$-$q$ method and its applications”, Zap. Nauchn. Sem. POMI, 334 (2006),  149–164  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 141:6 (2007), 1654–1662  scopus 2
2005
21. V. N. Kublanovskaya, “To solving multiparameter problems of algebra. 7. The $PG$-$q$ factorization method and its applications”, Zap. Nauchn. Sem. POMI, 323 (2005),  150–163  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 137:3 (2006), 4844–4851  scopus 2
22. V. N. Kublanovskaya, “To solving multiparameter problems of algebra. 6. Spectral characteristics of polynomial matrices”, Zap. Nauchn. Sem. POMI, 323 (2005),  132–149  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 137:3 (2006), 4835–4843  scopus 5
2004
23. V. N. Kublanovskaya, V. B. Khazanov, “Modifications of the $\Delta W$-$q$ factorization method for multiparameter polynomial matrices and their properties”, Zap. Nauchn. Sem. POMI, 309 (2004),  154–165  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 132:2 (2006), 229–235 3
24. V. N. Kublanovskaya, “To solving multiparameter problems of algebra. 5. The $\nabla V$-$q$ factorization algorithm and its applications”, Zap. Nauchn. Sem. POMI, 309 (2004),  144–153  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 132:2 (2006), 224–228 9
25. V. N. Kublanovskaya, “To solving multiparameter problems of algebra. 4. The $AB$-algorithm and its applications”, Zap. Nauchn. Sem. POMI, 309 (2004),  127–143  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 132:2 (2006), 214–223 6
2003
26. V. N. Kublanovskaya, “The solution of spectral problems for polynomial matrices”, Zap. Nauchn. Sem. POMI, 296 (2003),  122–138  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 127:3 (2005), 2024–2032 1
27. V. N. Kublanovskaya, “To solving multiparameter problems of algebra. 3. Cylindrical manifolds of the regular spectrum of a matrix”, Zap. Nauchn. Sem. POMI, 296 (2003),  108–121  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 127:3 (2005), 2016–2023 1
28. V. N. Kublanovskaya, “To solving multiparameter problems of algebra. 2. The method of partial relative factorization and its applications”, Zap. Nauchn. Sem. POMI, 296 (2003),  89–107  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 127:3 (2005), 2006–2015 11
2002
29. V. N. Kublanovskaya, V. B. Khazanov, “To the solution of partial eigenproblems for polynomial matrices”, Zap. Nauchn. Sem. POMI, 284 (2002),  163–176  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 121:4 (2004), 2530–2537 1
30. V. N. Kublanovskaya, “To solving multiparameter problems of algebra 1. Methods for computing complete polynomials and their applications”, Zap. Nauchn. Sem. POMI, 284 (2002),  143–162  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 121:4 (2004), 2519–2529 5
31. V. N. Kublanovskaya, “Computing the invariant polynomials of a polynomial matrix. 2”, Zap. Nauchn. Sem. POMI, 284 (2002),  128–142  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 121:4 (2004), 2511–2518
32. V. N. Kublanovskaya, “Computing the invariant polynomials of a polinomial matrix. 1”, Zap. Nauchn. Sem. POMI, 284 (2002),  123–127  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 121:4 (2004), 2508–2510
2000
33. V. N. Kublanovskaya, “The application of the rank-factorization method to the analysis of spectral characteristics of a polynomial multiparameter matrix”, Zap. Nauchn. Sem. POMI, 268 (2000),  115–144  mathnet  mathscinet  zmath 5
34. V. N. Kublanovskaya, “An approach to solving inverse eigenvalue problems for matrices”, Zap. Nauchn. Sem. POMI, 268 (2000),  95–114  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 114:6 (2003), 1808–1819 4
1999
35. V. N. Kublanovskaya, “The contribution of D. K. Faddeev to the development of computational methods in linear algebra”, Zh. Vychisl. Mat. Mat. Fiz., 39:2 (1999),  183–186  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 39:2 (1999), 173–176 1
1998
36. V. N. Kublanovskaya, V. B. Khazanov, “Irreducible factorizations of $q$-parameter rational matrices”, Zap. Nauchn. Sem. POMI, 248 (1998),  147–164  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 101:4 (2000), 3315–3325 2
37. V. N. Kublanovskaya, “Solution of arbitrary systems of nonlinear algebraic equations. Methods and algorithms. IV”, Zap. Nauchn. Sem. POMI, 248 (1998),  124–146  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 101:4 (2000), 3300–3314
38. V. N. Kublanovskaya, “Solution of the Cauchy problem. Methods and algorithms”, Zap. Nauchn. Sem. POMI, 248 (1998),  70–123  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 101:4 (2000), 3267–3299
39. T. Ya. Kon'kova, V. N. Kublanovskaya, V. N. Simonova, “Development of some ideas of D. K. Faddeev and V. N. Faddeeva in computational algebra”, Zh. Vychisl. Mat. Mat. Fiz., 38:12 (1998),  1955–1961  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 38:12 (1998), 1877–1883 1
1997
40. V. N. Kublanovskaya, “Methods and algorithms of solving spectral problems for polynomial and rational mathrices”, Zap. Nauchn. Sem. POMI, 238 (1997),  7–328  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 96:3 (1999), 3085–3287 28
1996
41. V. N. Kublanovskaya, V. B. Khazanov, “Relative factorization of polynomials of several variables”, Zh. Vychisl. Mat. Mat. Fiz., 36:8 (1996),  6–11  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 36:8 (1996), 983–987  isi 4
42. V. N. Kublanovskaya, “On a method for estimating unremovable error”, Zh. Vychisl. Mat. Mat. Fiz., 36:7 (1996),  11–14  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 36:7 (1996), 831–833  isi 2
1995
43. V. N. Kublanovskaya, “An approach to solving multiparameter algebraic problems”, Zap. Nauchn. Sem. POMI, 229 (1995),  191–246  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 89:6 (1998), 1715–1749 17
44. V. N. Kublanovskaya, “Solution of systems of nonlinear algebraic equations in three variables. Methods and algorithms. 3”, Zap. Nauchn. Sem. POMI, 229 (1995),  159–190  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 89:6 (1998), 1694–1714
1994
45. V. N. Kublanovskaya, “Least square method for matrices dependent on parameters”, Zap. Nauchn. Sem. POMI, 219 (1994),  176–185  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 86:4 (1997), 2920–2925
46. V. N. Kublanovskaya, V. N. Simonova, “Operations with scalar polynomials and their computer realization”, Zap. Nauchn. Sem. POMI, 219 (1994),  158–175  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 86:4 (1997), 2907–2919 1
47. V. N. Kublanovskaya, V. B. Khazanov, “On irreducible factorization of rational matrices and their applications”, Zap. Nauchn. Sem. POMI, 219 (1994),  117–157  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 86:4 (1997), 2880–2906 3
48. V. N. Kublanovskaya, “On certain factorizations of two-parameter polynomial matrices”, Zap. Nauchn. Sem. POMI, 219 (1994),  94–116  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 86:4 (1997), 2866–2879 2
1992
49. T. Ya. Kon'kova, V. N. Kublanovskaya, “Inversion of polynomial and rational matrices”, Zap. Nauchn. Sem. POMI, 202 (1992),  97–109  mathnet  mathscinet  zmath; J. Math. Sci., 79:3 (1996), 1093–1100 3
50. V. N. Kublanovskaya, V. N. Simonova, “An approach to solving nonlinear algebraic systems. 2”, Zap. Nauchn. Sem. POMI, 202 (1992),  71–96  mathnet  mathscinet  zmath; J. Math. Sci., 79:3 (1996), 1077–1092 3
51. V. N. Kublanovskaya, V. B. Khazanov, “Spectral problems for pencils of polynomial matrices. Methods and algorithms. V”, Zap. Nauchn. Sem. POMI, 202 (1992),  26–70  mathnet  mathscinet  zmath; J. Math. Sci., 79:3 (1996), 1048–1076 3
1990
52. V. N. Kublanovskaya, “Some factorizations of matrix and scalar polynomials”, Algebra i Analiz, 2:6 (1990),  168–177  mathnet  mathscinet  zmath; Leningrad Math. J., 2:6 (1991), 1325–1334
53. V. N. Kublanovskaya, “The contribution of V. N. Faddeeva and D. K. Faddeev in the development of computational methods in linear algebra”, Algebra i Analiz, 2:6 (1990),  34–39  mathnet  mathscinet  zmath; Leningrad Math. J., 2:6 (1991), 1187–1191
1987
54. V. N. Kublanovskaya, “An algorithm for computing the spectral structure of a singular linear matrix pencil”, Zap. Nauchn. Sem. LOMI, 159 (1987),  23–32  mathnet  zmath 1
1984
55. V. N. Kublanovskaya, T. V. Vashchenko, “Construction of a fundamental series of solutions of a pencil of matrices”, Zap. Nauchn. Sem. LOMI, 139 (1984),  74–93  mathnet  mathscinet  zmath; J. Soviet Math., 36:2 (1987), 224–239 2
56. V. N. Kublanovskaya, “A general approach to the reduction of a regular linear pencil to a pencil of quasitriangular form”, Zh. Vychisl. Mat. Mat. Fiz., 24:12 (1984),  1775–1788  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 24:6 (1984), 112–121 1
1983
57. V. N. Kublanovskaya, “On constructing a fundamental row of polynomial solutions and Jordam chains for singular linear pencil”, Zap. Nauchn. Sem. LOMI, 124 (1983),  101–113  mathnet  mathscinet  zmath 1
1981
58. V. N. Kublanovskaya, V. N. Simonova, “Certain modifications of the $AB$-algorithm”, Zap. Nauchn. Sem. LOMI, 111 (1981),  117–136  mathnet  mathscinet  zmath; J. Soviet Math., 24:1 (1984), 75–89 3
59. V. N. Kublanovskaya, “Spectral problem for polynomial matrix pencils. 2”, Zap. Nauchn. Sem. LOMI, 111 (1981),  109–116  mathnet  mathscinet  zmath; J. Soviet Math., 24:1 (1984), 69–75 2
1980
60. V. N. Kublanovskaya, “The algorithm AB and its properties”, Zap. Nauchn. Sem. LOMI, 102 (1980),  42–60  mathnet  mathscinet  zmath; J. Soviet Math., 22:2 (1983), 1192–1203 2
1979
61. V. N. Kublanovskaya, “Problem of eigenvalues for regular linear pencil of matrices being close to singular ones”, Zap. Nauchn. Sem. LOMI, 90 (1979),  63–82  mathnet  mathscinet  zmath; J. Soviet Math., 20:2 (1982), 1943–1958
62. V. N. Kublanovskaya, “Construction of canonical basis for matrices and pencils of matrices”, Zap. Nauchn. Sem. LOMI, 90 (1979),  46–62  mathnet  mathscinet  zmath; J. Soviet Math., 20:2 (1982), 1929–1942 4
1978
63. V. N. Kublanovskaya, “Connection between the spectral problem for linear matrix pencils and some problems of algebra”, Zap. Nauchn. Sem. LOMI, 80 (1978),  98–116  mathnet  mathscinet  zmath; J. Soviet Math., 28:3 (1985), 341–353
64. V. N. Kublanovskaya, “Spectral problem for polynomial pencils of matrices”, Zap. Nauchn. Sem. LOMI, 80 (1978),  83–97  mathnet  mathscinet  zmath; J. Soviet Math., 28:3 (1985), 330–340 2
65. V. N. Kublanovskaya, “On the solution of the spectral problem for a singular pencil of matrices”, Zh. Vychisl. Mat. Mat. Fiz., 18:4 (1978),  1056–1060  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 18:4 (1978), 243–247 1
1977
66. V. N. Kublanovskaya, L. T. Savinova, “Solving the eigenvalue problem for matrices”, Zap. Nauchn. Sem. LOMI, 70 (1977),  124–139  mathnet  mathscinet  zmath; J. Soviet Math., 23:1 (1983), 1966–1978
67. V. N. Kublanovskaya, T. Ya. Kon'kova, “Solution of the eigenvalue problem for a regular pencil $\lambda A_0-A_1$ with singular matrices”, Zap. Nauchn. Sem. LOMI, 70 (1977),  103–123  mathnet  mathscinet  zmath; J. Soviet Math., 23:1 (1983), 1950–1965 3
68. V. N. Kublanovskaya, “Analysis of singular matrix pencils”, Zap. Nauchn. Sem. LOMI, 70 (1977),  89–102  mathnet  mathscinet  zmath; J. Soviet Math., 23:1 (1983), 1939–1950 9
1976
69. V. N. Kublanovskaya, T. N. Smirnova, V. B. Khazanov, “Solving the eigenvalue problem for sparse matrices”, Zap. Nauchn. Sem. LOMI, 58 (1976),  92–110  mathnet  zmath; J. Soviet Math., 13:2 (1980), 261–275 3
70. V. N. Kublanovskaya, V. B. Mikhailov, V. B. Khazanov, “Eigenvalue problem for an irregular $\lambda$-matrix”, Zap. Nauchn. Sem. LOMI, 58 (1976),  80–92  mathnet  mathscinet  zmath; J. Soviet Math., 13:2 (1980), 251–260 1
71. T. Ya. Kon'kova, V. N. Kublanovskaya, “Two-sided approximations in the $LR$-algorithm”, Zap. Nauchn. Sem. LOMI, 58 (1976),  67–71  mathnet  mathscinet  zmath; J. Soviet Math., 13:2 (1980), 240–243
72. T. Ya. Kon'kova, V. N. Kublanovskaya, L. T. Savinova, “Solving a nonlinear spectral problem for a matrix”, Zap. Nauchn. Sem. LOMI, 58 (1976),  54–66  mathnet  mathscinet  zmath; J. Soviet Math., 13:2 (1980), 230–240 2
73. V. N. Kublanovskaya, “On the solution of linear algebraic systems”, Zh. Vychisl. Mat. Mat. Fiz., 16:6 (1976),  1578–1579  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 16:6 (1976), 192–194 1
1974
74. V. N. Kublanovskaya, “On the solution of the addition eigenvalues problem for the matrix”, Zap. Nauchn. Sem. LOMI, 48 (1974),  12–17  mathnet  mathscinet  zmath
1973
75. V. N. Kublanovskaya, G. V. Savinov, T. N. Smirnova, “On solving of some problems with sparse matrices”, Zap. Nauchn. Sem. LOMI, 35 (1973),  75–94  mathnet  mathscinet  zmath
76. V. N. Kublanovskaya, “On solving of the nonlinear matrix eigenvalue problem”, Zap. Nauchn. Sem. LOMI, 35 (1973),  67–74  mathnet  mathscinet  zmath
77. V. N. Kublanovskaya, “Normalized scheme of square method and its application for solving some problems of algebra”, Zap. Nauchn. Sem. LOMI, 35 (1973),  56–66  mathnet  mathscinet  zmath
1972
78. V. N. Kublanovskaya, “Newton's method for the determination of the eigenvalues and eigenvectors of a matrix”, Zh. Vychisl. Mat. Mat. Fiz., 12:6 (1972),  1371–1380  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 12:6 (1972), 1–12 2
79. V. N. Kublanovskaya, “Application of a normalized process to the solution of linear algebraic systems”, Zh. Vychisl. Mat. Mat. Fiz., 12:5 (1972),  1091–1098  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 12:5 (1972), 1–10 2
1971
80. V. N. Kublanovskaya, V. B. Khazanov, “On one inverse eigenvalue problem of matrix”, Zap. Nauchn. Sem. LOMI, 23 (1971),  84–93  mathnet  mathscinet  zmath
81. V. N. Kublanovskaya, “An application of normalized process to the solution of the inverse eigenvalue problem of matrix”, Zap. Nauchn. Sem. LOMI, 23 (1971),  72–83  mathnet  mathscinet  zmath
82. V. N. Kublanovskaya, “An application of orthogonal transformations to the solution of nonlinear sistems”, Zap. Nauchn. Sem. LOMI, 23 (1971),  53–71  mathnet  mathscinet  zmath
1970
83. V. N. Kublanovskaya, “On one approach to the solution of inverse eigenvalues problem”, Zap. Nauchn. Sem. LOMI, 18 (1970),  138–149  mathnet  mathscinet  zmath
84. B. D. Vulichevich, V. N. Kublanovskaya, “Solution of a partial eigenvalues problem for some special form matrices”, Zap. Nauchn. Sem. LOMI, 18 (1970),  104–115  mathnet  mathscinet  zmath
85. V. N. Kublanovskaya, “An application of orthogonal transformations to the numerical realization of linear algebraic problems on perturbation”, Zh. Vychisl. Mat. Mat. Fiz., 10:2 (1970),  429–433  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 10:2 (1970), 193–199 2
1969
86. V. N. Kublanovskaya, “The application of Newton's method to the determination of the eigenvalues of $\lambda$ -matrices”, Dokl. Akad. Nauk SSSR, 188:5 (1969),  1004–1005  mathnet  mathscinet  zmath 1
1968
87. V. N. Kublanovskaya, “An iteration process for obtaining small eigenvalues of a matrix and the corresponding eigenvectors”, Trudy Mat. Inst. Steklov., 96 (1968),  93–104  mathnet  zmath; Proc. Steklov Inst. Math., 96 (1968), 113–127
88. D. K. Faddeev, V. N. Kublanovskaya, V. N. Faddeeva, “Solution of linear algebraic systems with rectangular matrices”, Trudy Mat. Inst. Steklov., 96 (1968),  76–92  mathnet  zmath; Proc. Steklov Inst. Math., 96 (1968), 93–111 6
1966
89. V. N. Kublanovskaya, “On a method of solving the complete eigenvalue problem for a degenerate matrix”, Zh. Vychisl. Mat. Mat. Fiz., 6:4 (1966),  611–620  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 6:4 (1966), 1–14 22
90. V. N. Kublanovskaya, “On a method for the triangular factorization of an inverse matrix”, Zh. Vychisl. Mat. Mat. Fiz., 6:3 (1966),  555–556  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 6:3 (1966), 200–202 2
91. V. N. Kublanovskaya, “Evaluation of a generalized inverse matrix and projector”, Zh. Vychisl. Mat. Mat. Fiz., 6:2 (1966),  326–332  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 6:2 (1966), 179–188 9
1965
92. V. N. Kublanovskaya, “An algorithm for calculating the eigenvalues of positive-definite matrices”, Trudy Mat. Inst. Steklov., 84 (1965),  5–7  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 84 (1968), 64–83 1
93. V. N. Kublanovskaya, “A process for improving the orthogonalization of a vector system”, Zh. Vychisl. Mat. Mat. Fiz., 5:2 (1965),  326–329  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 5:2 (1965), 215–220 2
94. V. N. Kublanovskaya, “Some inequalities for the eigenvalues of a positive definite matrix”, Zh. Vychisl. Mat. Mat. Fiz., 5:1 (1965),  107–111  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 5:1 (1965), 144–150 1
1964
95. V. N. Kublanovskaya, “A computing scheme for the Jacobi process”, Zh. Vychisl. Mat. Mat. Fiz., 4:4 (1964),  732–733  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 4:4 (1964), 149–150 1
96. V. N. Kublanovskaya, “Reduction of an arbitrary matrix to the tridiagonal form”, Zh. Vychisl. Mat. Mat. Fiz., 4:3 (1964),  544  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 4:3 (1964), 202–203 1
97. V. N. Kublanovskaya, “A method of reorthogonalization of a system of vectors”, Zh. Vychisl. Mat. Mat. Fiz., 4:2 (1964),  338–340  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 4:2 (1964), 174–177 1
1962
98. V. N. Kublanovskaya, V. N. Faddeeva, “Computational methods for the solution of the general eigenvalue problem”, Trudy Mat. Inst. Steklov., 66 (1962),  147–165  mathnet  mathscinet  zmath 2
99. V. N. Kublanovskaya, “Application of the staircase method, and of the $LR$ and $\Lambda P$ algorithms to matrices decomposed into blocks”, Trudy Mat. Inst. Steklov., 66 (1962),  136–146  mathnet  mathscinet 1
100. V. N. Kublanovskaya, “Solution of the eigenvalue problem for an arbitrary matrix”, Trudy Mat. Inst. Steklov., 66 (1962),  113–135  mathnet  mathscinet  zmath 2
101. V. N. Kublanovskaya, “On certain iteration processes for the symmetrisation of a matrix”, Zh. Vychisl. Mat. Mat. Fiz., 2:5 (1962),  760–767  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 2:5 (1963), 859–868 1
1961
102. V. N. Kublanovskaya, “Certain algorithms for the solution of the complete problem of eigenvalues”, Dokl. Akad. Nauk SSSR, 136:1 (1961),  26–28  mathnet  mathscinet  zmath 1
103. V. N. Kublanovskaya, “On some algorithms for the solution of the complete eigenvalue problem”, Zh. Vychisl. Mat. Mat. Fiz., 1:4 (1961),  555–570  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 1:3 (1962), 637–657 53
1959
104. V. N. Kublanovskaya, T. N. Smirnova, “Zeros of Hankel functions and certain other functions associated with them”, Trudy Mat. Inst. Steklov., 53 (1959),  186–191  mathnet  mathscinet  zmath 1
105. V. N. Kublanovskaya, “Application of analytic continuation by means of change of variables in numerical analysis”, Trudy Mat. Inst. Steklov., 53 (1959),  145–185  mathnet  mathscinet  zmath 2
2006
106. V. N. Kublanovskaya, L. Yu. Kolotilina, “On the occasion of the centenary of the birthday of Vera Nikolaevna Faddeeva”, Zap. Nauchn. Sem. POMI, 334 (2006),  7–12  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 141:6 (2007), 1573–1575
1989
107. A. D. Aleksandrov, M. I. Bashmakov, Z. I. Borevich, V. N. Kublanovskaya, M. S. Nikulin, A. I. Skopin, A. V. Yakovlev, “Dmitrii Konstantinovich Faddeev (on his eightieth birthday)”, Uspekhi Mat. Nauk, 44:3(267) (1989),  187–193  mathnet  mathscinet  zmath; Russian Math. Surveys, 44:3 (1989), 223–231  isi 1
1979
108. P. S. Aleksandrov, M. I. Bashmakov, Z. I. Borevich, V. N. Kublanovskaya, A. I. Skopin, S. L. Sobolev, A. V. Yakovlev, “Dmitrii Konstantinovich Faddeev (on his seventieth birthday)”, Uspekhi Mat. Nauk, 34:2(206) (1979),  223–228  mathnet  mathscinet  zmath; Russian Math. Surveys, 34:2 (1979), 253–260
1969
109. V. N. Kublanovskaya, “Méthodes de calcul numérique. 2. Elements de theorie des matrices carrees et rectangles en analyse numérique: A. Korganoff and M. Pavel-Parvu. Paris, Dunod, XX+441 p., 1967”, Zh. Vychisl. Mat. Mat. Fiz., 9:5 (1969),  1224–1225  mathnet; U.S.S.R. Comput. Math. Math. Phys., 9:5 (1969), 341–342
1967
110. V. N. Kublanovskaya, “Numerical methods of algebra (theory and algorithms). Chislennye metody algebry (teoriya i algoritmy): V. V. Voevodin, Moscow, Nauka, 1966 pp. 248”, Zh. Vychisl. Mat. Mat. Fiz., 7:6 (1967),  1430–1431  mathnet; U.S.S.R. Comput. Math. Math. Phys., 7:6 (1967), 299–301
1965
111. V. N. Kublanovskaya, “Determinanten und matrizen: Kochendorfer, R., Leipzig, 1963. Book review”, Zh. Vychisl. Mat. Mat. Fiz., 5:2 (1965),  386–387  mathnet; U.S.S.R. Comput. Math. Math. Phys., 5:2 (1965), 302–303

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