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Found 45 Documents (Results 1–45)

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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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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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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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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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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An economical algorithm for calculating the coneigenvalues of complex matrices that are self-adjoint with respect to the symplectic metric. (English. Russian original) Zbl 1297.65039

Dokl. Math. 88, No. 3, 734-736 (2013); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 453, No. 6, 603-605 (2013).
MSC:  65F15
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Numerical algorithms for solving matrix equations \(AX + BX^T = C\) and \(AX + BX^\ast = C\). (Russian, English) Zbl 1299.65083

Zh. Vychisl. Mat. Mat. Fiz. 53, No. 6, 843-852 (2013); translation in Comput. Math. Math. Phys. 53, No. 6, 667-676 (2013).
MSC:  65F30 15A24
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Numerical solution of matrix equations of the form \(X + AX ^TB = C\). (Russian, English) Zbl 1274.65127

Zh. Vychisl. Mat. Mat. Fiz. 53, No. 3, 331-335 (2013); translation in Comput. Math. Math. Phys. 53, No. 3, 253-257 (2013).
MSC:  65F30 15A24
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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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A criterion for unitary congruence between complex matrices. (English. Russian original) Zbl 1260.15011

J. Math. Sci., New York 182, No. 6, 748-753 (2012); translation from Zap. Nauchn. Semin. POMI 395, 9-19 (2011).
MSC:  15A21 15A15
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Simultaneous decomplexification of a pair of complex matrices via a unitary similarity transformation. (English. Russian original) Zbl 1256.15006

J. Math. Sci., New York 182, No. 6, 745-747 (2012); translation from Zap. Nauchn. Semin. POMI 395, 5-8 (2011).
MSC:  15A21
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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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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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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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