Kolotilina Liliya Yurievna

Publications in Math-Net.Ru

1. On $S$-SDD$_k(\sigma)$ and $S$-GSDD$_k(\sigma)$ matrices
   
   Zap. Nauchn. Sem. POMI, 542 (2025),  100–125
2. Reduced eigenvalue inclusion sets and related classes of nonsingular matrices
   
   Zap. Nauchn. Sem. POMI, 534 (2024),  89–106
3. SSDD matrices and relations with other subclasses of nonsingular $\mathcal H$-matrices
   
   Zap. Nauchn. Sem. POMI, 534 (2024),  57–88
4. $\mathrm{SDD}_1$ matrices and their generalizations
   
   Zap. Nauchn. Sem. POMI, 524 (2023),  74–93
5. Upper bounds for $\|A^{-1}\|_\infty$ for some eventually $\mathcal{H}$-matrices
   
   Zap. Nauchn. Sem. POMI, 524 (2023),  64–73
6. Upper bounds for the spectral radius of a PF matrix
   
   Zap. Nauchn. Sem. POMI, 524 (2023),  56–63
7. On SDD$_1$ matrices
   
   Zap. Nauchn. Sem. POMI, 514 (2022),  88–112
8. Upper bounds for $\|A^{-1}Q\|_\infty$
   
   Zap. Nauchn. Sem. POMI, 514 (2022),  77–87
9. Further block generalizations of Nekrasov matrices
   
   Zap. Nauchn. Sem. POMI, 504 (2021),  70–101
10. A block generalization of Nekrasov matrices
    
    Zap. Nauchn. Sem. POMI, 496 (2020),  138–155
11. New two-sided bounds for the Perron root and related nonsingularity criteria
    
    Zap. Nauchn. Sem. POMI, 496 (2020),  120–137
12. Some bounds for inverses involving matrix sparsity pattern
    
    Zap. Nauchn. Sem. POMI, 482 (2019),  201–219
13. New classes of nonsingular matrices and upper bounds for their inverses
    
    Zap. Nauchn. Sem. POMI, 482 (2019),  184–200
14. Nekrasov type matrices and upper bounds for their inverses
    
    Zap. Nauchn. Sem. POMI, 482 (2019),  169–183
15. A new subclass of the class of nonsingular $\mathcal H$-matrices and related inclusion sets for eigenvalues and singular values
    
    Zap. Nauchn. Sem. POMI, 472 (2018),  166–178
16. On Dashnic–Zusmanovich (DZ) and Dashnic–Zusmanovich type (DZT) matrices and their inverses
    
    Zap. Nauchn. Sem. POMI, 472 (2018),  145–165
17. An upper bound for the largest eigenvalue of a positive semidefinite block banded matrix
    
    Zap. Nauchn. Sem. POMI, 463 (2017),  263–268
18. An approach to bounding the spectral radius of a weighted digraph
    
    Zap. Nauchn. Sem. POMI, 463 (2017),  240–262
19. On block generalizations of $\mathcal H$-matrices
    
    Zap. Nauchn. Sem. POMI, 453 (2016),  172–188
20. New subclasses of the class of $\mathcal H$-matrices and related bounds for the inverses
    
    Zap. Nauchn. Sem. POMI, 453 (2016),  148–171
21. Bounds on the $l_\infty$ norm of inverses for certain block matrices
    
    Zap. Nauchn. Sem. POMI, 439 (2015),  145–158
22. New nonsingularity conditions for general matrices and the associated eigenvalue inclusion sets
    
    Zap. Nauchn. Sem. POMI, 439 (2015),  128–144
23. Bounds for the inverses of generalized Nekrasov matrices
    
    Zap. Nauchn. Sem. POMI, 428 (2014),  182–195
24. Bounds for the determinants of Nekrasov and $S$-Nekrasov matrices
    
    Zap. Nauchn. Sem. POMI, 428 (2014),  166–181
25. Some characterizations of Nekrasov and $S$-Nekrasov matrices
    
    Zap. Nauchn. Sem. POMI, 428 (2014),  152–165
26. Bounds for the largest two eigenvalues of the signless Laplacian
    
    Zap. Nauchn. Sem. POMI, 419 (2013),  139–153
27. Some inequalities connecting the singular values of a complex matrix with the Perron roots of related nonnegative matrices
    
    Zap. Nauchn. Sem. POMI, 419 (2013),  121–138
28. On bounding inverses to Nekrasov matrices in the infinity norm
    
    Zap. Nauchn. Sem. POMI, 419 (2013),  111–120
29. Upper bounds for the second largest eigenvalue of symmetric nonnegative matrices
    
    Zap. Nauchn. Sem. POMI, 405 (2012),  138–163
30. Bounds for the extreme eigenvalues of the Laplacian and signless Laplacian of a graph
    
    Zap. Nauchn. Sem. POMI, 395 (2011),  104–123
31. New circuit bounds for the Perron root of a nonnegative matrix
    
    Zap. Nauchn. Sem. POMI, 395 (2011),  86–103
32. On Ostrowski's disk theorem and lower bounds for the smallest eigenvalues and singular values
    
    Zap. Nauchn. Sem. POMI, 382 (2010),  125–140
33. On determinantal diagonal dominance conditions
    
    Zap. Nauchn. Sem. POMI, 382 (2010),  104–124
34. Inequalities for the extreme eigenvalues of block-partitioned Hermitian matrices with applications to spectral graph theory
    
    Zap. Nauchn. Sem. POMI, 382 (2010),  82–103
35. Diagonal dominance characterization of $PM$- and $PH$-matrices
    
    Zap. Nauchn. Sem. POMI, 367 (2009),  110–120
36. Bounds for the inverses of $PM$- and $PH$-matrices
    
    Zap. Nauchn. Sem. POMI, 367 (2009),  75–109
37. Erratum to “Improving Chistyakov's bounds for the Perron root of a nonnegative matrix”
    
    Zap. Nauchn. Sem. POMI, 359 (2008),  106
38. Inclusion sets for the singular values of a rectangular matrix
    
    Zap. Nauchn. Sem. POMI, 359 (2008),  94–105
39. On circuit inclusion sets for the singular values of a square matrix
    
    Zap. Nauchn. Sem. POMI, 359 (2008),  78–93
40. Inclusion sets for the singular values of a square matrix
    
    Zap. Nauchn. Sem. POMI, 359 (2008),  52–77
41. Improving Chistyakov's bounds for the Perron root of a nonnegative matrix
    
    Zap. Nauchn. Sem. POMI, 346 (2007),  103–118
42. Bounds for the determinants and inverses of certain $H$-matrices
    
    Zap. Nauchn. Sem. POMI, 346 (2007),  81–102
43. Filling the gap between the Gerschgorin and Brualdi theorems
    
    Zap. Nauchn. Sem. POMI, 334 (2006),  128–148
44. Joint bounds for the Perron roots of nonnegative matrices with applications
    
    Zap. Nauchn. Sem. POMI, 334 (2006),  30–56
45. The generalized monotonicity property of the Perron root
    
    Zap. Nauchn. Sem. POMI, 334 (2006),  13–29
46. Pseudoblock conditions of diagonal dominance
    
    Zap. Nauchn. Sem. POMI, 323 (2005),  94–131
47. Bounds and inequalities for the Perron root of a nonnegative matrix. III. Bounds dependent on simple paths and circuits
    
    Zap. Nauchn. Sem. POMI, 323 (2005),  69–93
48. Bounds for the singular values of a matrix involving its sparsity pattern
    
    Zap. Nauchn. Sem. POMI, 323 (2005),  57–68
49. Solution of the problem of optimal diagonal scaling for quasireal Hermitian positive-definite $3\times3$ matrices
    
    Zap. Nauchn. Sem. POMI, 309 (2004),  84–126
50. The singularity/nonsingularity problem for matrices satisfying diagonal dominance conditions in terms of directed graphs
    
    Zap. Nauchn. Sem. POMI, 309 (2004),  40–83
51. Bounds for the extreme eigenvalues of block $2\times2$ Hermitian matrices
    
    Zap. Nauchn. Sem. POMI, 301 (2003),  172–194
52. Bounds and inequalities for the Perron root of a nonnegative matrix. II. Circuit bounds and inequalities
    
    Zap. Nauchn. Sem. POMI, 296 (2003),  60–88
53. The strengthened versions of the additive and multiplicative Weyl inequalities
    
    Zap. Nauchn. Sem. POMI, 296 (2003),  39–59
54. On the extreme eigenvalues of block $2\times2$ Hermitian matrices
    
    Zap. Nauchn. Sem. POMI, 296 (2003),  27–38
55. Bounds and inequalities for the Perron root of a nonnegative matrix
    
    Zap. Nauchn. Sem. POMI, 284 (2002),  77–122
56. A class of optimally conditioned block $2\times2$ matrices
    
    Zap. Nauchn. Sem. POMI, 284 (2002),  64–76
57. On Brualdi's theorem
    
    Zap. Nauchn. Sem. POMI, 284 (2002),  48–63
58. The case of equality in the generalized Wielandt inequality
    
    Zap. Nauchn. Sem. POMI, 268 (2000),  86–94
59. Optimally conditioned block $2\times2$ matrices
    
    Zap. Nauchn. Sem. POMI, 268 (2000),  72–85
60. Lower bounds for the Perron root of a sum of nonnegative matrices
    
    Zap. Nauchn. Sem. POMI, 268 (2000),  49–71
61. A generalization of Weyl's inequalities with implications
    
    Zap. Nauchn. Sem. POMI, 248 (1998),  49–59
62. Factorized sparse approximate inverse preconditionings III. Iterative construction of preconditioners.
    
    Zap. Nauchn. Sem. POMI, 248 (1998),  17–48
63. Interrelations between eigenvalues and diagonal entries of Hermitian matrices implying their block diagonality
    
    Zap. Nauchn. Sem. POMI, 229 (1995),  153–158
64. Twofold deflation preconditioning of linear algebraic systems. I. Theory
    
    Zap. Nauchn. Sem. POMI, 229 (1995),  95–152
65. The convergence of certain incomplete block factorization splittings
    
    Zap. Nauchn. Sem. POMI, 219 (1994),  42–52
66. Eigenvalue bounds for block preconditioned matrices
    
    Zap. Nauchn. Sem. POMI, 219 (1994),  5–41
67. Bounds for eigenvalues of symmetric block Jacobi scaled matrices
    
    Zap. Nauchn. Sem. POMI, 202 (1992),  18–25
68. The sparsity of Bruhat decomposition factors of nonsingular matrices
    
    Zap. Nauchn. Sem. POMI, 202 (1992),  5–17
69. On explicit preсonditioning for dense linear algebraic systems
    
    Zap. Nauchn. Sem. LOMI, 154 (1986),  90–100
70. Some structural properties of inverse matrices
    
    Zap. Nauchn. Sem. LOMI, 139 (1984),  61–73
71. On the normalizer of the diagonal subgroup in the general linear group over a ring
    
    Zap. Nauchn. Sem. LOMI, 132 (1983),  114–118
72. On the application of net groups to sparse matrix theory
    
    Zap. Nauchn. Sem. LOMI, 124 (1983),  93–100
73. Subnormalizer of net subgroups in the general linear group over a ring
    
    Zap. Nauchn. Sem. LOMI, 116 (1982),  14–19
74. A class of test Hessenberg matrices
    
    Zap. Nauchn. Sem. LOMI, 111 (1981),  89–92
75. On subgroups of $T$-groups
    
    Zap. Nauchn. Sem. LOMI, 103 (1980),  62–65
76. Normal structure of the full linear group over a semilocal ring
    
    Zap. Nauchn. Sem. LOMI, 94 (1979),  37–39
77. Conjugacy of net subgroups of linear groups
    
    Zap. Nauchn. Sem. LOMI, 86 (1979),  11–18


78. In memory of Professor Vera Nikolaevna Kublanovskaya
    
    Zh. Vychisl. Mat. Mat. Fiz., 53:1 (2013),  163–168
79. On the occasion of the centenary of the birthday of Vera Nikolaevna Faddeeva
    
    Zap. Nauchn. Sem. POMI, 334 (2006),  7–12