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Found 135 Documents (Results 1–100)

Asymptotic structure of eigenvalues and eigenvectors of certain triangular Hankel matrices. (English. Russian original) Zbl 1517.11109

Dokl. Math. 106, Part Suppl. 2, S250-S255 (2022); translation from Chebyshevskiĭ Sb. 21, No. 1(73), 238-251 (2020).
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Local Marchenko-Pastur law for sparse rectangular random matrices. (English. Russian original) Zbl 1486.60013

Dokl. Math. 104, No. 3, 332-335 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 501, 22-25 (2021).
MSC:  60B20 15B52
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Asymptotics of the number of threshold functions and the singularity probability of random \( \{\pm 1\}\)-matrices. (English. Russian original) Zbl 1474.60012

Dokl. Math. 101, No. 3, 247-249 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 492, 89-91 (2020).
MSC:  60B20 15B52 94D10
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On stability indicators of nonnegative matrices. (English. Russian original) Zbl 1477.15027

Dokl. Math. 101, No. 1, 43-45 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 490, 51-54 (2020).
MSC:  15B48
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On infinite-dimensional integer Hankel matrices. (English. Russian original) Zbl 1419.15027

Dokl. Math. 99, No. 2, 218-220 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 485, No. 6, 667-669 (2019).
MSC:  15B36 15B05
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Dualization problem over the product of chains: asymptotic estimates for the number of solutions. (English. Russian original) Zbl 1485.68167

Dokl. Math. 98, No. 3, 564-567 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 483, No. 2, 130-133 (2018).
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Superfast iterative solvers for linear matrix equations. (English. Russian original) Zbl 1408.65021

Dokl. Math. 98, No. 2, 444-447 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 482, No. 3, 250-253 (2018).
MSC:  65F30 15A24 93B05
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On new arithmetic properties of determinants of Hankel matrices. (English. Russian original) Zbl 1400.15012

Dokl. Math. 98, No. 1, 370-372 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 481, No. 5, 484-485 (2018).
MSC:  15A15 11A41
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Classifying anti-commuting pairs of Toeplitz and Hankel matrices. (English. Russian original) Zbl 1381.15023

Dokl. Math. 96, No. 2, 468-471 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 476, No. 3, 272-275 (2017).
MSC:  15B05 15A27
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Spectral decompositions for the solutions of Sylvester, Lyapunov, and Krein equations. (English. Russian original) Zbl 1366.15012

Dokl. Math. 95, No. 1, 103-107 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 472, No. 4, 388-392 (2017).
MSC:  15A24
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Groups of quotients of semigroups of invertible nonnegative matrices over skewfields. (English, Russian) Zbl 1366.15013

Dokl. Math. 95, No. 1, 12-14 (2017); translation in Dokl. Akad. Nauk, Ross. Akad. Nauk 472, No. 2, 123-126 (2017).
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Reconstruction of the Hermitian matrix by its spectrum and spectra of some number of its perturbations. (English. Russian original) Zbl 1359.15009

Dokl. Math. 94, No. 2, 529-531 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 470, No. 3, 257-259 (2016).
MSC:  15A29 15A18 15B57
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Deficiency numbers of operators generated by infinite Jacobi matrices. (English. Russian original) Zbl 1344.15008

Dokl. Math. 93, No. 2, 170-174 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 467, No. 3, 261-265 (2016).
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Strong asymptotics for the Pollaczek multiple orthogonal polynomials. (English. Russian original) Zbl 1337.33006

Dokl. Math. 92, No. 3, 709-713 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 465, No. 4, 393-397 (2015).
MSC:  33C47 15B52
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Invariance conditions for MIMO systems based on regularization. (English. Russian original) Zbl 1341.93041

Dokl. Math. 92, No. 3, 664-666 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 465, No. 1, 20-22 (2015).
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Necessary and sufficient conditions for the existence of a weighted singular value decomposition of matrices with singular weights. (English. Russian original) Zbl 1301.15006

Dokl. Math. 89, No. 2, 182-184 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 455, No. 3, 260-264 (2014).
MSC:  15A09 15A18 65F20
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On the spectrum of the curvature operator of a three-dimensional Lie group with a left-invariant Riemannian metric. (English. Russian original) Zbl 1280.58020

Dokl. Math. 87, No. 3, 307-309 (2013); translation from Dokl. Akad. Nauk. 450, No. 3, 271-273 (2013).
MSC:  53C20 53C30 15A18
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Convergence of a sequence of equilibrium measures corresponding to finite submatrices of an infinite nonnegative matrix. (English. Russian original) Zbl 1270.15022

Dokl. Math. 87, No. 1, 95-97 (2013); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 448, No. 6, 633-636 (2013).
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The matrix equations \(AX+BX^T=C\) and \(AX+BX^\ast=C\). (English. Russian original) Zbl 1269.15015

Dokl. Math. 87, No. 2, 211-213 (2013); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk, Vol. 449, No. 5, 513-515 (2013).
MSC:  15A24 65F30 15A22 15A18
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Equations of the form \(X\bar X = A\) with skew-Hamiltonian matrices \(A\). (English. Russian original) Zbl 1263.15034

Dokl. Math. 85, No. 3, 388-390 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 444, No. 5, 477-479 (2012).
MSC:  15B57 15A24 15A21
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The matrix equation \(X + AX^TB = C\): Conditions for unique solvability and a numerical algorithm for its solution. (English. Russian original) Zbl 1255.15021

Dokl. Math. 85, No. 2, 265-267 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 443, No. 5, 545-548 (2012).
MSC:  15A24 65F30
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Unitary similarity of matrices with simple eigenvalues. (English. Russian original) Zbl 1246.15015

Dokl. Math. 84, No. 3, 795-798 (2011); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 441, No. 2, 169-173 (2011).
MSC:  15A21 15A18 15A24
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Simultaneous decomplexification of a pair of complex matrices by a unitary congruence transformation. (English. Russian original) Zbl 1246.15014

Dokl. Math. 84, No. 3, 767-769 (2011); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 441, No. 1, 7-9 (2011).
MSC:  15A21
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On a particular case of the problem of simultaneous decomplexification of a pair of complex matrices by a similarity transformation. (English. Russian original) Zbl 1237.15011

Dokl. Math. 84, No. 1, 515-517 (2011); translation from Dokl. Akad. Nauk 439, No. 4, 448-450 (2011).
MSC:  15A21 15B05
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\(NP\)-completeness of the integer balancing problem for a three-dimensional matrix. (English. Russian original) Zbl 1214.90090

Dokl. Math. 82, No. 3, 912-914 (2010); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 435, No. 3, 314-316 (2010).
MSC:  90C10 15B36 90C60
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Conditions for unique solvability of the matrix equation \(AX + X^TB = C\). (English. Russian original) Zbl 1208.15013

Dokl. Math. 81, No. 1, 63-65 (2010); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 430, No. 4, 444-447 (2010).
MSC:  15A24 15A22
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Constructive sufficient conditions for the existence of a unitary similarity transformation that converts a given complex matrix into a real one. (English. Russian original) Zbl 1201.15004

Dokl. Math. 82, No. 1, 563-565 (2010); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 433, No. 3, 305-308 (2010).
MSC:  15A21
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On the singular spectrum of powers and products of random matrices. (English. Russian original) Zbl 1211.60003

Dokl. Math. 82, No. 1, 505-507 (2010); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 433, No. 1, 7-9 (2010).
MSC:  60B20 15B52 15A18
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Theorems of the Hoffman-Wielandt type for the coneigenvalues of complex matrices. (English. Russian original) Zbl 1189.15021

Dokl. Math. 80, No. 1, 536-540 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 427, No. 4, 447-451 (2009).
MSC:  15A42 15B57
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Recursive decomposition of multidimensional tensors. (English. Russian original) Zbl 1183.15024

Dokl. Math. 80, No. 1, 460-462 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 427, No. 1, 14-16 (2009).
MSC:  15A72 05C05 05C50
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The tensor structure of the inverse of a banded Toeplitz matrix. (English. Russian original) Zbl 1181.15037

Dokl. Math. 80, No. 2, 669-670 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 428, No. 2, 161-162 (2009).
MSC:  15B05 15A03 15A09 65F30
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On the asymptotics of all eigenvalues of Hermitian Toeplitz band matrices. (English. Russian original) Zbl 1181.15010

Dokl. Math. 80, No. 2, 662-664 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 428, No. 2, 153-156 (2009).
MSC:  15A18 15B05
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The randomized algorithm for finding an eigenvector of the stochastic matrix with application to PageRank. (English. Russian original) Zbl 1176.65042

Dokl. Math. 79, No. 3, 424-427 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 426, No. 6, 734-737 (2009).
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Necessary and sufficient conditions for the singularity of the pairwise \(l_{1}\)-distance matrix and their generalizations. (English. Russian original) Zbl 1176.15043

Dokl. Math. 79, No. 2, 150-152 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 425, No. 1, 11-14 (2009).
MSC:  15B48 68T10
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The dimension of the variety of conjugate-normal matrices. (English. Russian original) Zbl 1217.15024

Dokl. Math. 78, No. 3, 910-912 (2008); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 423, No. 6, 727-729 (2008).
MSC:  15A30 15B57
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Inverse spectral problems for a class of pentadiagonal unitary matrices. (English. Russian original) Zbl 1217.15011

Dokl. Math. 78, No. 3, 811-813 (2008); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 423, No. 1, 11-13 (2008).
MSC:  15A18 15A29 15B10
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Approximation of Toeplitz matrices by sums of circulants and small-rank matrices. (English. Russian original) Zbl 1155.15305

Dokl. Math. 73, No. 1, 100-101 (2006); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 406, No. 5, 602-603 (2006).
MSC:  15B57
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