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Found 57 Documents (Results 1–57)

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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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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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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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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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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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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On two approaches to the common invariant subspace problem for a pair of matrices. (English. Russian original) Zbl 1025.15012

Comput. Math. Math. Phys. 41, No. 4, 494-501 (2001); translation from Zh. Vychisl. Mat. Mat. Fiz. 41, No. 4, 529-536 (2001).
MSC:  15A18 65F15 13P10
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On rational calculation of the invariant subspaces of a complex matrix. (English. Russian original) Zbl 1004.65047

Comput. Math. Math. Phys. 40, No. 11, 1523-1524 (2000); translation from Zh. Vychisl. Mat. Mat. Fiz. 40, No. 11, 1587-1588 (2000).
MSC:  65F15
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On Hermitian eigenvalue problems with additional Hamiltonian or skew-Hamiltonian structure. (English. Russian original) Zbl 1004.15014

Comput. Math. Math. Phys. 40, No. 10, 1383-1386 (2000); translation from Zh. Vychisl. Mat. Mat. Fiz. 40, No. 10, 1443-1446 (2000).
MSC:  15A18 15B57 15A21
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The canonical form as a tool for proving the properties of projectors. (English. Russian original) Zbl 0999.15016

Comput. Math. Math. Phys. 40, No. 9, 1233-1238 (2000); translation from Zh. Vychisl. Mat. Mat. Fiz. 40, No. 9, 1285-1290 (2000).
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The quasidiagonalizability of oblique projectors as a particular case of the noncommutative spectral theorem. (English. Russian original) Zbl 0997.16016

Comput. Math. Math. Phys. 40, No. 8, 1077-1084 (2000); translation from Zh. Vychisl. Mat. Mat. Fiz. 40, No. 8, 1123-1130 (2000).
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On the quasidiagonalizability of 3-selfadjoint matrices. (English. Russian original) Zbl 0996.47023

Comput. Math. Math. Phys. 40, No. 7, 923-932 (2000); translation from Zh. Vychisl. Mat. Mat. Fiz. 40, No. 7, 963-973 (2000).
MSC:  47A66 47B25 15A21
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On quasidefinite matrices with a parameter in the off-diagonal block. (English. Russian original) Zbl 0978.15023

Comput. Math. Math. Phys. 39, No. 10, 1553-1557 (1999); translation from Zh. Vychisl. Mat. Mat. Fiz. 39, No. 10, 1620-1624 (1999).
MSC:  15B57 15A18
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Matrix completion problems with arbitrary locations of prescribed entries. (English. Russian original) Zbl 0981.65045

Comput. Math. Math. Phys. 39, No. 9, 1367-1383 (1999); translation from Zh. Vychisl. Mat. Mat. Fiz. 39, No. 9, 1427-1444 (1999).
MSC:  65F18 65F30 15A29
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On computer algebra procedures constructing matrices with prescribed eigenvalues and diagonal entries. (English. Russian original) Zbl 0971.65030

Comput. Math. Math. Phys. 39, No. 6, 842-847 (1999); translation from Zh. Vychisl. Mat. Mat. Fiz. 39, No. 6, 876-881 (1999).
MSC:  65F18 68W30
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Computer algebra procedures for verifying the definiteness of a matrix on a subspace. (English. Russian original) Zbl 0970.65044

Comput. Math. Math. Phys. 39, No. 3, 337-349 (1999); translation from Zh. Vychisl. Mat. Mat. Fiz. 39, No. 3, 367-370 (1999).
MSC:  65F30 68W30
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On certain quasidiagonalizable families of matrices. (English. Russian original) Zbl 0965.15013

Comput. Math. Math. Phys. 38, No. 7, 1026-1035 (1998); translation from Zh. Vychisl. Mat. Mat. Fiz. 38, No. 7, 1075-1084 (1998).
MSC:  15A30 15A21 65F30
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On fast computation of a polynomial in the Frobenius matrix. (English. Russian original) Zbl 0956.65035

Comput. Math. Math. Phys. 38, No. 4, 536-537 (1998); translation from Zh. Vychisl. Mat. Mat. Fiz. 38, No. 4, 557-558 (1998).
MSC:  65F30 65F15 30C15 26C10 65H05 12Y05
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On simultaneous reduction of a pair of oblique projectors to block triangular form. (English. Russian original) Zbl 0949.15015

Comput. Math. Math. Phys. 38, No. 2, 173-174 (1998); translation from Zh. Vychisl. Mat. Mat. Fiz. 38, No. 2, 181-182 (1998).
MSC:  15A21
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The canonical Schur form of a unitarily quasidiagonalizable matrix. (English. Russian original) Zbl 0944.15011

Comput. Math. Math. Phys. 37, No. 12, 1367-1371 (1997); translation from Zh. Vychisl. Mat. Mat. Fiz. 37, No. 12, 1411-1415 (1997).
MSC:  15A21
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Evenness of the Jordan structure of block quaternions with real spectra and its computational consequences. (English. Russian original) Zbl 0944.15016

Comput. Math. Math. Phys. 37, No. 9, 993-997 (1997); translation from Zh. Vychisl. Mat. Mat. Fiz. 37, No. 9, 1029-1033 (1997).
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On the features of the programmed realization of the Lanczos method for generalized symmetric matrices. (English. Russian original) Zbl 1026.65505

Comput. Math. Math. Phys. 35, No. 12, 1527-1530 (1995); translation from Zh. Vychisl. Mat. Mat. Fiz. 35, No. 12, 1900-1904 (1995).
MSC:  65F15
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Conditionality and expected error for two methods of computing the pseudo-eigenvalues of a complex matrix. (English. Russian original) Zbl 1026.65508

Comput. Math. Math. Phys. 35, No. 11, 1403-1408 (1995); translation from Zh. Vychisl. Mat. Mat. Fiz. 35, No. 11, 1741-1748 (1995).
MSC:  65F35 65F15
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The stabilizer of the set of asymmetric Toeplitz matrices. (English. Russian original) Zbl 0832.15003

Comput. Math. Math. Phys. 34, No. 8-9, 1119-1123 (1994); translation from Zh. Vychisl. Mat. Mat. Fiz. 34, No. 8-9, 1293-1298 (1994).
MSC:  15A18 15A30
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Algebraic properties of classes of concommuting and \(H\)-selfadjoint matrices. (English. Russian original) Zbl 0785.15013

Comput. Math. Math. Phys. 32, No. 8, 1037-1048 (1992); translation from Zh. Vychisl. Mat. Mat. Fiz. 32, No. 8, 1155-1169 (1992).
MSC:  15B57
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