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Kolotilina Liliya Yurievna

Publications in Math-Net.Ru

  1. Reduced eigenvalue inclusion sets and related classes of nonsingular matrices

    Zap. Nauchn. Sem. POMI, 534 (2024),  89–106
  2. SSDD matrices and relations with other subclasses of nonsingular $\mathcal H$-matrices

    Zap. Nauchn. Sem. POMI, 534 (2024),  57–88
  3. $\mathrm{SDD}_1$ matrices and their generalizations

    Zap. Nauchn. Sem. POMI, 524 (2023),  74–93
  4. Upper bounds for $\|A^{-1}\|_\infty$ for some eventually $\mathcal{H}$-matrices

    Zap. Nauchn. Sem. POMI, 524 (2023),  64–73
  5. Upper bounds for the spectral radius of a PF matrix

    Zap. Nauchn. Sem. POMI, 524 (2023),  56–63
  6. On SDD$_1$ matrices

    Zap. Nauchn. Sem. POMI, 514 (2022),  88–112
  7. Upper bounds for $\|A^{-1}Q\|_\infty$

    Zap. Nauchn. Sem. POMI, 514 (2022),  77–87
  8. Further block generalizations of Nekrasov matrices

    Zap. Nauchn. Sem. POMI, 504 (2021),  70–101
  9. A block generalization of Nekrasov matrices

    Zap. Nauchn. Sem. POMI, 496 (2020),  138–155
  10. New two-sided bounds for the Perron root and related nonsingularity criteria

    Zap. Nauchn. Sem. POMI, 496 (2020),  120–137
  11. Some bounds for inverses involving matrix sparsity pattern

    Zap. Nauchn. Sem. POMI, 482 (2019),  201–219
  12. New classes of nonsingular matrices and upper bounds for their inverses

    Zap. Nauchn. Sem. POMI, 482 (2019),  184–200
  13. Nekrasov type matrices and upper bounds for their inverses

    Zap. Nauchn. Sem. POMI, 482 (2019),  169–183
  14. 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
  15. On Dashnic–Zusmanovich (DZ) and Dashnic–Zusmanovich type (DZT) matrices and their inverses

    Zap. Nauchn. Sem. POMI, 472 (2018),  145–165
  16. An upper bound for the largest eigenvalue of a positive semidefinite block banded matrix

    Zap. Nauchn. Sem. POMI, 463 (2017),  263–268
  17. An approach to bounding the spectral radius of a weighted digraph

    Zap. Nauchn. Sem. POMI, 463 (2017),  240–262
  18. On block generalizations of $\mathcal H$-matrices

    Zap. Nauchn. Sem. POMI, 453 (2016),  172–188
  19. New subclasses of the class of $\mathcal H$-matrices and related bounds for the inverses

    Zap. Nauchn. Sem. POMI, 453 (2016),  148–171
  20. Bounds on the $l_\infty$ norm of inverses for certain block matrices

    Zap. Nauchn. Sem. POMI, 439 (2015),  145–158
  21. New nonsingularity conditions for general matrices and the associated eigenvalue inclusion sets

    Zap. Nauchn. Sem. POMI, 439 (2015),  128–144
  22. Bounds for the inverses of generalized Nekrasov matrices

    Zap. Nauchn. Sem. POMI, 428 (2014),  182–195
  23. Bounds for the determinants of Nekrasov and $S$-Nekrasov matrices

    Zap. Nauchn. Sem. POMI, 428 (2014),  166–181
  24. Some characterizations of Nekrasov and $S$-Nekrasov matrices

    Zap. Nauchn. Sem. POMI, 428 (2014),  152–165
  25. Bounds for the largest two eigenvalues of the signless Laplacian

    Zap. Nauchn. Sem. POMI, 419 (2013),  139–153
  26. 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
  27. On bounding inverses to Nekrasov matrices in the infinity norm

    Zap. Nauchn. Sem. POMI, 419 (2013),  111–120
  28. Upper bounds for the second largest eigenvalue of symmetric nonnegative matrices

    Zap. Nauchn. Sem. POMI, 405 (2012),  138–163
  29. Bounds for the extreme eigenvalues of the Laplacian and signless Laplacian of a graph

    Zap. Nauchn. Sem. POMI, 395 (2011),  104–123
  30. New circuit bounds for the Perron root of a nonnegative matrix

    Zap. Nauchn. Sem. POMI, 395 (2011),  86–103
  31. On Ostrowski's disk theorem and lower bounds for the smallest eigenvalues and singular values

    Zap. Nauchn. Sem. POMI, 382 (2010),  125–140
  32. On determinantal diagonal dominance conditions

    Zap. Nauchn. Sem. POMI, 382 (2010),  104–124
  33. Inequalities for the extreme eigenvalues of block-partitioned Hermitian matrices with applications to spectral graph theory

    Zap. Nauchn. Sem. POMI, 382 (2010),  82–103
  34. Diagonal dominance characterization of $PM$- and $PH$-matrices

    Zap. Nauchn. Sem. POMI, 367 (2009),  110–120
  35. Bounds for the inverses of $PM$- and $PH$-matrices

    Zap. Nauchn. Sem. POMI, 367 (2009),  75–109
  36. Erratum to “Improving Chistyakov's bounds for the Perron root of a nonnegative matrix”

    Zap. Nauchn. Sem. POMI, 359 (2008),  106
  37. Inclusion sets for the singular values of a rectangular matrix

    Zap. Nauchn. Sem. POMI, 359 (2008),  94–105
  38. On circuit inclusion sets for the singular values of a square matrix

    Zap. Nauchn. Sem. POMI, 359 (2008),  78–93
  39. Inclusion sets for the singular values of a square matrix

    Zap. Nauchn. Sem. POMI, 359 (2008),  52–77
  40. Improving Chistyakov's bounds for the Perron root of a nonnegative matrix

    Zap. Nauchn. Sem. POMI, 346 (2007),  103–118
  41. Bounds for the determinants and inverses of certain $H$-matrices

    Zap. Nauchn. Sem. POMI, 346 (2007),  81–102
  42. Filling the gap between the Gerschgorin and Brualdi theorems

    Zap. Nauchn. Sem. POMI, 334 (2006),  128–148
  43. Joint bounds for the Perron roots of nonnegative matrices with applications

    Zap. Nauchn. Sem. POMI, 334 (2006),  30–56
  44. The generalized monotonicity property of the Perron root

    Zap. Nauchn. Sem. POMI, 334 (2006),  13–29
  45. Pseudoblock conditions of diagonal dominance

    Zap. Nauchn. Sem. POMI, 323 (2005),  94–131
  46. 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
  47. Bounds for the singular values of a matrix involving its sparsity pattern

    Zap. Nauchn. Sem. POMI, 323 (2005),  57–68
  48. Solution of the problem of optimal diagonal scaling for quasireal Hermitian positive-definite $3\times3$ matrices

    Zap. Nauchn. Sem. POMI, 309 (2004),  84–126
  49. The singularity/nonsingularity problem for matrices satisfying diagonal dominance conditions in terms of directed graphs

    Zap. Nauchn. Sem. POMI, 309 (2004),  40–83
  50. Bounds for the extreme eigenvalues of block $2\times2$ Hermitian matrices

    Zap. Nauchn. Sem. POMI, 301 (2003),  172–194
  51. Bounds and inequalities for the Perron root of a nonnegative matrix. II. Circuit bounds and inequalities

    Zap. Nauchn. Sem. POMI, 296 (2003),  60–88
  52. The strengthened versions of the additive and multiplicative Weyl inequalities

    Zap. Nauchn. Sem. POMI, 296 (2003),  39–59
  53. On the extreme eigenvalues of block $2\times2$ Hermitian matrices

    Zap. Nauchn. Sem. POMI, 296 (2003),  27–38
  54. Bounds and inequalities for the Perron root of a nonnegative matrix

    Zap. Nauchn. Sem. POMI, 284 (2002),  77–122
  55. A class of optimally conditioned block $2\times2$ matrices

    Zap. Nauchn. Sem. POMI, 284 (2002),  64–76
  56. On Brualdi's theorem

    Zap. Nauchn. Sem. POMI, 284 (2002),  48–63
  57. The case of equality in the generalized Wielandt inequality

    Zap. Nauchn. Sem. POMI, 268 (2000),  86–94
  58. Optimally conditioned block $2\times2$ matrices

    Zap. Nauchn. Sem. POMI, 268 (2000),  72–85
  59. Lower bounds for the Perron root of a sum of nonnegative matrices

    Zap. Nauchn. Sem. POMI, 268 (2000),  49–71
  60. A generalization of Weyl's inequalities with implications

    Zap. Nauchn. Sem. POMI, 248 (1998),  49–59
  61. Factorized sparse approximate inverse preconditionings III. Iterative construction of preconditioners.

    Zap. Nauchn. Sem. POMI, 248 (1998),  17–48
  62. Interrelations between eigenvalues and diagonal entries of Hermitian matrices implying their block diagonality

    Zap. Nauchn. Sem. POMI, 229 (1995),  153–158
  63. Twofold deflation preconditioning of linear algebraic systems. I. Theory

    Zap. Nauchn. Sem. POMI, 229 (1995),  95–152
  64. The convergence of certain incomplete block factorization splittings

    Zap. Nauchn. Sem. POMI, 219 (1994),  42–52
  65. Eigenvalue bounds for block preconditioned matrices

    Zap. Nauchn. Sem. POMI, 219 (1994),  5–41
  66. Bounds for eigenvalues of symmetric block Jacobi scaled matrices

    Zap. Nauchn. Sem. POMI, 202 (1992),  18–25
  67. The sparsity of Bruhat decomposition factors of nonsingular matrices

    Zap. Nauchn. Sem. POMI, 202 (1992),  5–17
  68. On explicit preņonditioning for dense linear algebraic systems

    Zap. Nauchn. Sem. LOMI, 154 (1986),  90–100
  69. Some structural properties of inverse matrices

    Zap. Nauchn. Sem. LOMI, 139 (1984),  61–73
  70. On the normalizer of the diagonal subgroup in the general linear group over a ring

    Zap. Nauchn. Sem. LOMI, 132 (1983),  114–118
  71. On the application of net groups to sparse matrix theory

    Zap. Nauchn. Sem. LOMI, 124 (1983),  93–100
  72. Subnormalizer of net subgroups in the general linear group over a ring

    Zap. Nauchn. Sem. LOMI, 116 (1982),  14–19
  73. A class of test Hessenberg matrices

    Zap. Nauchn. Sem. LOMI, 111 (1981),  89–92
  74. On subgroups of $T$-groups

    Zap. Nauchn. Sem. LOMI, 103 (1980),  62–65
  75. Normal structure of the full linear group over a semilocal ring

    Zap. Nauchn. Sem. LOMI, 94 (1979),  37–39
  76. Conjugacy of net subgroups of linear groups

    Zap. Nauchn. Sem. LOMI, 86 (1979),  11–18

  77. In memory of Professor Vera Nikolaevna Kublanovskaya

    Zh. Vychisl. Mat. Mat. Fiz., 53:1 (2013),  163–168
  78. On the occasion of the centenary of the birthday of Vera Nikolaevna Faddeeva

    Zap. Nauchn. Sem. POMI, 334 (2006),  7–12


© Steklov Math. Inst. of RAS, 2025