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Found 379 Documents (Results 1–100)

On a particular solution of the \(\sigma \)-commutation problem \(( \sigma \ne 0, \pm 1)\) for Toeplitz and Hankel matrices. (English. Russian original) Zbl 07786497

Comput. Math. Math. Phys. 63, No. 11, 2038-2049 (2023); translation from Zh. Vychisl. Mat. Mat. 63, No. 11, 1817-1828 (2023).
MSC:  15B05 15A24
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Congruences and unitary congruences in matrix theory. (English. Russian original) Zbl 1521.15011

J. Math. Sci., New York 272, No. 6, 766-773 (2023); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 175, 19-26 (2020).
MSC:  15A21 15A04
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Canonical angles of normal matrices and theorems of the Wielandt-Hoffman and J.-g. Sun type. (English. Russian original) Zbl 1500.15007

Comput. Math. Math. Phys. 62, No. 10, 1586-1589 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 10, 1615-1619 (2022).
MSC:  15A18 47A55
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Diagonalizable matrices as a result of rank-one perturbations of nilpotent matrices. (English. Russian original) Zbl 1497.15012

Mosc. Univ. Comput. Math. Cybern. 46, No. 2, 76-80 (2022); translation from Vestn. Mosk. Univ., Ser. XV 2022, No. 2, 17-21 (2022).
MSC:  15A20 15A18
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An algorithm verifying the congruence of complex matrices whose cosquares have eigenvalues of modulus one. (English. Russian original) Zbl 1464.15020

Mosc. Univ. Comput. Math. Cybern. 44, No. 4, 176-184 (2020); translation from Vestn. Mosk. Univ., Ser. XV 2020, No. 4, 18-26 (2020).
MSC:  15A21 15A04
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On the Toeplitz and polar decompositions of an involutive matrix. (English. Russian original) Zbl 1456.15012

Mosc. Univ. Comput. Math. Cybern. 44, No. 2, 69-72 (2020); translation from Vestn. Mosk. Univ., Ser. XV 2020, No. 2, 19-22 (2020).
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A heuristic rational algorithm for checking the congruence of normal matrices. (English. Russian original) Zbl 1470.65086

Comput. Math. Math. Phys. 60, No. 10, 1601-1608 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 10, 1656-1663 (2020).
MSC:  65F99 15B05 15B57
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Square roots of Hermitian matrices and a rational algorithm for checking their congruence. (English. Russian original) Zbl 1428.15036

Mosc. Univ. Comput. Math. Cybern. 43, No. 3, 95-100 (2019); translation from Vestn. Mosk. Univ., Ser. XV 2019, No. 3, 11-16 (2019).
MSC:  15B57 15A21 15A16
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Similarity and consimilarity automorphisms of the space of Toeplitz matrices. (English. Russian original) Zbl 1426.15039

J. Math. Sci., New York 240, No. 6, 707-714 (2019); translation from Zap. Nauchn. Semin. POMI 472, 5-16 (2018).
MSC:  15B05
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Solving systems of linear equations with normal coefficient matrices and the degree of the minimal polyanalytic polynomial. (English. Russian original) Zbl 1404.15005

Math. Notes 104, No. 1, 48-52 (2018); translation from Mat. Zametki 104, No. 1, 56-61 (2018).
MSC:  15A06 15B57
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Numerical solution of a semilinear matrix equation of the Stein type in the normal case. (English. Russian original) Zbl 1397.65062

Mosc. Univ. Comput. Math. Cybern. 42, No. 2, 51-54 (2018); translation from Vestn. Mosk. Univ., Ser. XV 2018, No. 2, 3-6 (2018).
MSC:  65F30 15A24
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Numerical solution of Sylvester matrix equations with normal coefficients. (English. Russian original) Zbl 1383.65036

Mosc. Univ. Comput. Math. Cybern. 41, No. 4, 153-156 (2017); translation from Vestn. Mosk. Univ., Ser. XV 2017, No. 4, 3-6 (2017).
MSC:  65F30 15A24
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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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A finite rational algorithm that verifies the diagonalizability of a square matrix by congruence. (English. Russian original) Zbl 1347.65077

Mosc. Univ. Comput. Math. Cybern. 40, No. 2, 53-56 (2016); translation from Vestn. Mosk. Univ., Ser. XV 2016, No. 2, 3-5 (2016).
MSC:  65F30 15A21
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On the eigenvalues of certain classes of normal \((T + H)\)-matrices. (English. Russian original) Zbl 1350.15016

J. Math. Sci., New York 216, No. 6, 725-729 (2016); translation from Zap. Nauchn. Semin. POMI 439, 5-12 (2015).
MSC:  15B05 15A18 65F15
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On conditions for permutability of Toeplitz and Hankel matrices. (English. Russian original) Zbl 1343.15017

Comput. Math. Math. Phys. 56, No. 3, 354-357 (2016); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 3, 363-367 (2016).
MSC:  15B05 15A27
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Unitary automorphisms of the space of \((T+H)\)-matrices of order four. (English. Russian original) Zbl 1334.15070

Mosc. Univ. Comput. Math. Cybern. 39, No. 4, 153-156 (2015); translation from Vestn. Mosk. Univ., Ser. XV 2015, No. 4, 3-6 (2015).
MSC:  15B05
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Unitary similarity automorphisms of the space of \(3 \times 3\) Toeplitz-plus-Hankel matrices. (English. Russian original) Zbl 1332.15029

J. Math. Sci., New York 207, No. 5, 756-766 (2015); translation from Zap. Nauchn. Semin. POMI 428, 137-151 (2014).
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How to characterize \((T+H)\)-matrices and \((T+H)\)-circulants. (English. Russian original) Zbl 1318.15017

Comput. Math. Math. Phys. 55, No. 2, 175-178 (2015); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 2, 185-188 (2015).
MSC:  15B05
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Fast algorithms for calculating the eigenvalues of normal Hankel matrices. (English. Russian original) Zbl 1333.65036

Mosc. Univ. Comput. Math. Cybern. 38, No. 1, 1-7 (2014); translation from Vestn. Mosk. Univ., Ser. XV 2014, No. 1, 5-10 (2014).
MSC:  65F15 15B05
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Some acceleration techniques for calculating the eigenvalues of normal Toeplitz matrices. (English. Russian original) Zbl 1327.65069

Comput. Math. Math. Phys. 54, No. 12, 1761-1764 (2014); translation from Zh. Vychisl. Mat. Mat. Fiz. 54, No. 12, 1835-1838 (2014).
MSC:  65F15 15B05
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Numerical algorithm for solving quadratic matrix equations of a certain class. (English. Russian original) Zbl 1327.65088

Comput. Math. Math. Phys. 54, No. 11, 1643-1646 (2014); translation from Zh. Vychisl. Mat. Mat. Fiz. 54, No. 11, 1707-1710 (2014).
MSC:  65F30 15A24
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Numerical solution of Sylvester matrix equations in the self-adjoint case. (English. Russian original) Zbl 1311.65045

Mosc. Univ. Comput. Math. Cybern. 38, No. 2, 33-36 (2014); translation from Vestn. Mosk. Univ., Ser. XV 2014, No. 2, 7-9 (2014).
MSC:  65F30 15A24
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Numerical algorithm for solving sesquilinear matrix equations of a certain class. (Russian, English) Zbl 1313.65099

Zh. Vychisl. Mat. Mat. Fiz. 54, No. 6, 901-904 (2014); translation in Comput. Math. Math. Phys. 54, No. 6, 915-918 (2014).
MSC:  65F30 15A24
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Numerical solution of matrix equations of the Stein type in the self-adjoint case. (Russian, English) Zbl 1313.65098

Zh. Vychisl. Mat. Mat. Fiz. 54, No. 5, 723- 727 (2014); translation in Comput. Math. Math. Phys. 54, No. 5, 745-749 (2014).
MSC:  65F30 15A24
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Numerical solution of the matrix equation \(X-A\bar X B = C\) in the self-adjoint case. (Russian, English) Zbl 1313.65097

Zh. Vychisl. Mat. Mat. Fiz. 54, No. 3, 371-374 (2014); translation in Comput. Math. Math. Phys. 54, No. 3, 379-381 (2014).
MSC:  65F30 15A24
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Numerical solution of the matrix equations \(AX + X ^TB = C\) and \(AX + X*B = C\) in the self-adjoint case. (Russian, English) Zbl 1313.65096

Zh. Vychisl. Mat. Mat. Fiz. 54, No. 2, 179- 182 (2014); translation in Comput. Math. Math. Phys. 54, No. 2, 191-194 (2014).
MSC:  65F30 15A24
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