Kolotilina L. Yu., Yeremin A. Yu. Bruhat decomposition and solution of linear algebraic systems with sparse matrices // Sov. J. Numer. Anal. Math. Model., 1987, 2, 421–436.
Kolotilina L. Yu., Yeremin A. Yu. Block SSOR preconditionings for high order 3D FE systems // BIT, 1989, 29, 805–823.
Axelsson O., Kolotilina L. Yu. Monotonicity and discretization error estimates // SIAM J. Numer. Anal., 1990, 27, 1591–1611.
Kolotilina L. Yu., Yeremin A. Yu. Factorized sparse approximate inverse preconditionings I: Theory // SIAM J. Matrix Anal. Appl., 1993, 14, 45–58.
Kolotilina L. Yu. Eigenvalue bounds and inequalities using vector aggregation of matrices // Linear Algebra Appl., 1998, 271, 139–167.
L. Yu. Kolotilina, “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
L. Yu. Kolotilina, “On Dashnic–Zusmanovich (DZ) and Dashnic–Zusmanovich type (DZT) matrices and their inverses”, Zap. Nauchn. Sem. POMI, 472 (2018), 145–165
L. Yu. Kolotilina, “An upper bound for the largest eigenvalue of a positive semidefinite block banded matrix”, Zap. Nauchn. Sem. POMI, 463 (2017), 263–268; J. Math. Sci. (N. Y.), 232:6 (2018), 917–920
15.
L. Yu. Kolotilina, “An approach to bounding the spectral radius of a weighted digraph”, Zap. Nauchn. Sem. POMI, 463 (2017), 240–262; J. Math. Sci. (N. Y.), 232:6 (2018), 903–916
2016
16.
L. Yu. Kolotilina, “On block generalizations of $\mathcal H$-matrices”, Zap. Nauchn. Sem. POMI, 453 (2016), 172–188; J. Math. Sci. (N. Y.), 224:6 (2017), 926–936
17.
L. Yu. Kolotilina, “New subclasses of the class of $\mathcal H$-matrices and related bounds for the inverses”, Zap. Nauchn. Sem. POMI, 453 (2016), 148–171; J. Math. Sci. (N. Y.), 224:6 (2017), 911–925
L. Yu. Kolotilina, “Bounds on the $l_\infty$ norm of inverses for certain block matrices”, Zap. Nauchn. Sem. POMI, 439 (2015), 145–158; J. Math. Sci. (N. Y.), 216:6 (2016), 816–824
L. Yu. Kolotilina, “New nonsingularity conditions for general matrices and the associated eigenvalue inclusion sets”, Zap. Nauchn. Sem. POMI, 439 (2015), 128–144; J. Math. Sci. (N. Y.), 216:6 (2016), 805–815
L. Yu. Kolotilina, “Bounds for the inverses of generalized Nekrasov matrices”, Zap. Nauchn. Sem. POMI, 428 (2014), 182–195; J. Math. Sci. (N. Y.), 207:5 (2015), 786–794
L. Yu. Kolotilina, “Bounds for the determinants of Nekrasov and $S$-Nekrasov matrices”, Zap. Nauchn. Sem. POMI, 428 (2014), 166–181; J. Math. Sci. (N. Y.), 207:5 (2015), 776–785
L. Yu. Kolotilina, “Some characterizations of Nekrasov and $S$-Nekrasov matrices”, Zap. Nauchn. Sem. POMI, 428 (2014), 152–165; J. Math. Sci. (N. Y.), 207:5 (2015), 767–775
L. Yu. Kolotilina, “Bounds for the largest two eigenvalues of the signless Laplacian”, Zap. Nauchn. Sem. POMI, 419 (2013), 139–153; J. Math. Sci. (N. Y.), 199:4 (2014), 448–455
L. Yu. Kolotilina, “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; J. Math. Sci. (N. Y.), 199:4 (2014), 438–447
25.
L. Yu. Kolotilina, “On bounding inverses to Nekrasov matrices in the infinity norm”, Zap. Nauchn. Sem. POMI, 419 (2013), 111–120; J. Math. Sci. (N. Y.), 199:4 (2014), 432–437
L. Yu. Kolotilina, “Upper bounds for the second largest eigenvalue of symmetric nonnegative matrices”, Zap. Nauchn. Sem. POMI, 405 (2012), 138–163; J. Math. Sci. (N. Y.), 191:1 (2013), 75–88
L. Yu. Kolotilina, “Bounds for the extreme eigenvalues of the Laplacian and signless Laplacian of a graph”, Zap. Nauchn. Sem. POMI, 395 (2011), 104–123; J. Math. Sci. (N. Y.), 182:6 (2012), 803–813
28.
L. Yu. Kolotilina, “New circuit bounds for the Perron root of a nonnegative matrix”, Zap. Nauchn. Sem. POMI, 395 (2011), 86–103; J. Math. Sci. (N. Y.), 182:6 (2012), 793–802
L. Yu. Kolotilina, “On Ostrowski's disk theorem and lower bounds for the smallest eigenvalues and singular values”, Zap. Nauchn. Sem. POMI, 382 (2010), 125–140; J. Math. Sci. (N. Y.), 176:1 (2011), 68–77
L. Yu. Kolotilina, “On determinantal diagonal dominance conditions”, Zap. Nauchn. Sem. POMI, 382 (2010), 104–124; J. Math. Sci. (N. Y.), 176:1 (2011), 57–67
31.
L. Yu. Kolotilina, “Inequalities for the extreme eigenvalues of block-partitioned Hermitian matrices with applications to spectral graph theory”, Zap. Nauchn. Sem. POMI, 382 (2010), 82–103; J. Math. Sci. (N. Y.), 176:1 (2011), 44–56
L. Yu. Kolotilina, “Diagonal dominance characterization of $PM$- and $PH$-matrices”, Zap. Nauchn. Sem. POMI, 367 (2009), 110–120; J. Math. Sci. (N. Y.), 165:5 (2010), 556–561
L. Yu. Kolotilina, “Bounds for the inverses of $PM$- and $PH$-matrices”, Zap. Nauchn. Sem. POMI, 367 (2009), 75–109; J. Math. Sci. (N. Y.), 165:5 (2010), 537–555
L. Yu. Kolotilina, “Erratum to “Improving Chistyakov's bounds for the Perron root of a nonnegative matrix””, Zap. Nauchn. Sem. POMI, 359 (2008), 106; J. Math. Sci. (N. Y.), 157:5 (2009), 730
35.
L. Yu. Kolotilina, “Inclusion sets for the singular values of a rectangular matrix”, Zap. Nauchn. Sem. POMI, 359 (2008), 94–105; J. Math. Sci. (N. Y.), 157:5 (2009), 723–729
36.
L. Yu. Kolotilina, “On circuit inclusion sets for the singular values of a square matrix”, Zap. Nauchn. Sem. POMI, 359 (2008), 78–93; J. Math. Sci. (N. Y.), 157:5 (2009), 715–722
L. Yu. Kolotilina, “Inclusion sets for the singular values of a square matrix”, Zap. Nauchn. Sem. POMI, 359 (2008), 52–77; J. Math. Sci. (N. Y.), 157:5 (2009), 701–714
L. Yu. Kolotilina, “Improving Chistyakov's bounds for
the Perron root of a nonnegative matrix”, Zap. Nauchn. Sem. POMI, 346 (2007), 103–118; J. Math. Sci. (N. Y.), 150:2 (2008), 1973–1981
L. Yu. Kolotilina, “Bounds for the determinants and inverses of certain $H$-matrices”, Zap. Nauchn. Sem. POMI, 346 (2007), 81–102; J. Math. Sci. (N. Y.), 150:2 (2008), 1961–1972
L. Yu. Kolotilina, “Filling the gap between the Gerschgorin and Brualdi theorems”, Zap. Nauchn. Sem. POMI, 334 (2006), 128–148; J. Math. Sci. (N. Y.), 141:6 (2007), 1643–1653
Yu. A. Alpin, L. Yu. Kolotilina, N. N. Korneeva, “Joint bounds for the Perron roots of nonnegative matrices with applications”, Zap. Nauchn. Sem. POMI, 334 (2006), 30–56; J. Math. Sci. (N. Y.), 141:6 (2007), 1586–1600
Yu. A. Alpin, L. Yu. Kolotilina, “The generalized monotonicity property of the Perron root”, Zap. Nauchn. Sem. POMI, 334 (2006), 13–29; J. Math. Sci. (N. Y.), 141:6 (2007), 1576–1585
L. Yu. Kolotilina, “Pseudoblock conditions of diagonal dominance”, Zap. Nauchn. Sem. POMI, 323 (2005), 94–131; J. Math. Sci. (N. Y.), 137:3 (2006), 4815–4834
L. Yu. Kolotilina, “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; J. Math. Sci. (N. Y.), 137:3 (2006), 4801–4814
L. Yu. Kolotilina, “Bounds for the singular values of a matrix involving its sparsity pattern”, Zap. Nauchn. Sem. POMI, 323 (2005), 57–68; J. Math. Sci. (N. Y.), 137:3 (2006), 4794–4800
L. Yu. Kolotilina, “Solution of the problem of optimal diagonal scaling for quasireal Hermitian positive-definite
$3\times3$ matrices”, Zap. Nauchn. Sem. POMI, 309 (2004), 84–126; J. Math. Sci. (N. Y.), 132:2 (2006), 190–213
L. Yu. Kolotilina, “The singularity/nonsingularity problem for matrices satisfying diagonal dominance conditions in terms of directed graphs”, Zap. Nauchn. Sem. POMI, 309 (2004), 40–83; J. Math. Sci. (N. Y.), 132:2 (2006), 166–189
L. Yu. Kolotilina, “Bounds for the extreme eigenvalues of block $2\times2$ Hermitian matrices”, Zap. Nauchn. Sem. POMI, 301 (2003), 172–194; J. Math. Sci. (N. Y.), 129:2 (2005), 3772–3786
L. Yu. Kolotilina, “Bounds and inequalities for the Perron root of a nonnegative matrix. II. Circuit bounds and inequalities”, Zap. Nauchn. Sem. POMI, 296 (2003), 60–88; J. Math. Sci. (N. Y.), 127:3 (2005), 1988–2005
L. Yu. Kolotilina, “The strengthened versions of the additive and multiplicative Weyl inequalities”, Zap. Nauchn. Sem. POMI, 296 (2003), 39–59; J. Math. Sci. (N. Y.), 127:3 (2005), 1976–1987
L. Yu. Kolotilina, “On the extreme eigenvalues of block $2\times2$ Hermitian matrices”, Zap. Nauchn. Sem. POMI, 296 (2003), 27–38; J. Math. Sci. (N. Y.), 127:3 (2005), 1969–1975
L. Yu. Kolotilina, “Bounds and inequalities for the Perron root of a nonnegative matrix”, Zap. Nauchn. Sem. POMI, 284 (2002), 77–122; J. Math. Sci. (N. Y.), 121:4 (2004), 2481–2507
L. Yu. Kolotilina, “A class of optimally conditioned block $2\times2$ matrices”, Zap. Nauchn. Sem. POMI, 284 (2002), 64–76; J. Math. Sci. (N. Y.), 121:4 (2004), 2474–2480
L. Yu. Kolotilina, “The case of equality in the generalized Wielandt inequality”, Zap. Nauchn. Sem. POMI, 268 (2000), 86–94; J. Math. Sci. (N. Y.), 114:6 (2003), 1803–1807
L. Yu. Kolotilina, “Lower bounds for the Perron root of a sum of nonnegative matrices”, Zap. Nauchn. Sem. POMI, 268 (2000), 49–71; J. Math. Sci. (N. Y.), 114:6 (2003), 1780–1793
L. Yu. Kolotilina, “A generalization of Weyl's inequalities with implications”, Zap. Nauchn. Sem. POMI, 248 (1998), 49–59; J. Math. Sci. (New York), 101:4 (2000), 3255–3260
A. Yu. Yeremin, L. Yu. Kolotilina, A. A. Nikishin, “Factorized sparse approximate inverse preconditionings III. Iterative construction of preconditioners.”, Zap. Nauchn. Sem. POMI, 248 (1998), 17–48; J. Math. Sci. (New York), 101:4 (2000), 3237–3254
L. Yu. Kolotilina, “Interrelations between eigenvalues and diagonal entries of Hermitian matrices implying their block diagonality”, Zap. Nauchn. Sem. POMI, 229 (1995), 153–158; J. Math. Sci. (New York), 89:6 (1998), 1690–1693
61.
L. Yu. Kolotilina, “Twofold deflation preconditioning of linear algebraic systems. I. Theory”, Zap. Nauchn. Sem. POMI, 229 (1995), 95–152; J. Math. Sci. (New York), 89:6 (1998), 1652–1689
L. Yu. Kolotilina, “The convergence of certain incomplete block factorization splittings”, Zap. Nauchn. Sem. POMI, 219 (1994), 42–52; J. Math. Sci. (New York), 86:4 (1997), 2828–2834
L. Yu. Kolotilina, “Eigenvalue bounds for block preconditioned matrices”, Zap. Nauchn. Sem. POMI, 219 (1994), 5–41; J. Math. Sci. (New York), 86:4 (1997), 2803–2827
L. Yu. Kolotilina, “Bounds for eigenvalues of symmetric block Jacobi scaled matrices”, Zap. Nauchn. Sem. POMI, 202 (1992), 18–25; J. Math. Sci., 79:3 (1996), 1043–1047
L. Yu. Kolotilina, “The sparsity of Bruhat decomposition factors of nonsingular matrices”, Zap. Nauchn. Sem. POMI, 202 (1992), 5–17; J. Math. Sci., 79:3 (1996), 1035–1042
1986
66.
L. Yu. Kolotilina, “On explicit pre�onditioning for dense linear algebraic systems”, Zap. Nauchn. Sem. LOMI, 154 (1986), 90–100
1984
67.
L. Yu. Kolotilina, “Some structural properties of inverse matrices”, Zap. Nauchn. Sem. LOMI, 139 (1984), 61–73; J. Soviet Math., 36:2 (1987), 215–224
1983
68.
L. Yu. Kolotilina, “On the normalizer of the diagonal subgroup in the general linear group over a ring”, Zap. Nauchn. Sem. LOMI, 132 (1983), 114–118
69.
L. Yu. Kolotilina, “On the application of net groups to sparse matrix theory”, Zap. Nauchn. Sem. LOMI, 124 (1983), 93–100
1982
70.
Z. I. Borevich, L. Yu. Kolotilina, “Subnormalizer of net subgroups in the general linear group over a ring”, Zap. Nauchn. Sem. LOMI, 116 (1982), 14–19; J. Soviet Math., 26:3 (1984), 1844–1848
N. A. Vavilov, L. Yu. Kolotilina, “Normal structure of the full linear group over a semilocal ring”, Zap. Nauchn. Sem. LOMI, 94 (1979), 37–39; J. Soviet Math., 19:1 (1982), 998–999
Z. I. Borevich, E. V. Dybkova, L. Yu. Kolotilina, “Conjugacy of net subgroups of linear groups”, Zap. Nauchn. Sem. LOMI, 86 (1979), 11–18; J. Soviet Math., 17:4 (1981), 1945–1951
M. K. Kerimov, L. Yu. Kolotilina, T. Ya. Kon'kova, V. N. Simonova, V. B. Khazanov, “In memory of Professor Vera Nikolaevna Kublanovskaya”, Zh. Vychisl. Mat. Mat. Fiz., 53:1 (2013), 163–168
2006
76.
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; J. Math. Sci. (N. Y.), 141:6 (2007), 1573–1575
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