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Found 113 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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Stability indicators of nonnegative matrices: parametric and sparse cases. (English. Russian original) Zbl 1527.15033

Comput. Math. Math. Phys. 63, No. 7, 1155-1165 (2023); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 7, 1061-1072 (2023).
MSC:  15A99 05C50 92D30
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Geometric algebra and quaternion techniques in computer algebra systems for describing rotations in Eucledean space. (English. Russian original) Zbl 1522.81418

Comput. Math. Math. Phys. 63, No. 1, 29-39 (2023); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 1, 31-42 (2023).
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Search for sparse solutions of super-large systems with a tensor structure. (English. Russian original) Zbl 1506.94014

Comput. Math. Math. Phys. 62, No. 11, 1782-1798 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 11, 1804-1821 (2022).
MSC:  94A12 62H30 15A06
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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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Low-rank approximation algorithms for matrix completion with random sampling. (English. Russian original) Zbl 1469.65082

Comput. Math. Math. Phys. 61, No. 5, 799-815 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 5, 827-844 (2021).
MSC:  65F55 15A83
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Computing the eigenvectors of nonsymmetric tridiagonal matrices. (English. Russian original) Zbl 1469.65077

Comput. Math. Math. Phys. 61, No. 5, 733-749 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 5, 759-775 (2021).
MSC:  65F15 15A18
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Inductive matrix completion with feature selection. (English. Russian original) Zbl 1476.62105

Comput. Math. Math. Phys. 61, No. 5, 719-732 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 5, 744-758 (2021).
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An accurate restarting for shift-and-invert Krylov subspaces computing matrix exponential actions of nonsymmetric matrices. (English. Russian original) Zbl 1469.65087

Comput. Math. Math. Phys. 61, No. 5, 684-698 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 5, 706-722 (2021).
MSC:  65F60 15A16
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Algebras closed by \(J\)-Hermitianity in displacement formulas. (English. Russian original) Zbl 1470.15014

Comput. Math. Math. Phys. 61, No. 5, 674-683 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 5, 696-705 (2021).
MSC:  15A30 15B57 15B05
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Analytical inversion of the operator matrix for the problem of diffraction by a cylindrical segment in Sobolev spaces. (English. Russian original) Zbl 1467.45018

Comput. Math. Math. Phys. 61, No. 3, 424-430 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 3, 450-456 (2021).
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Building z-permuted matrices in the QTT format. (English. Russian original) Zbl 1455.15011

Comput. Math. Math. Phys. 60, No. 12, 2108-2115 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 12, 2177-2184 (2020).
MSC:  15B99 65F55
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Computation of asymptotic spectral distributions for sequences of grid operators. (English. Russian original) Zbl 1523.15009

Comput. Math. Math. Phys. 60, No. 11, 1761-1777 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 11, 1823-1841 (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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Computational approach to the investigation of the error self-compensation effect in the deposition of multilayer optical coatings. (English. Russian original) Zbl 1451.78026

Comput. Math. Math. Phys. 60, No. 6, 1017-1024 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 6, 1045-1052 (2020).
MSC:  78A46 65F20 15A18
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Issues of stability and uniqueness of stochastic matrix factorization. (English. Russian original) Zbl 1451.15010

Comput. Math. Math. Phys. 60, No. 3, 370-378 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 3, 369-378 (2020).
MSC:  15A23 15B51
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Locally polynomial method for solving systems of linear inequalities. (English. Russian original) Zbl 1450.65041

Comput. Math. Math. Phys. 60, No. 2, 222-226 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 2, 216-220 (2020).
MSC:  65F99 15A39
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Symmetric matrices whose entries are linear functions. (English. Russian original) Zbl 1454.15023

Comput. Math. Math. Phys. 60, No. 1, 102-108 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 1, 109-115 (2020).
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Application of matrix decompositions for matrix canonization. (English. Russian original) Zbl 1435.65062

Comput. Math. Math. Phys. 59, No. 11, 1759-1770 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 11, 1823-1835 (2019).
MSC:  65F20 15A23 65F10
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The elimination problem in the least square method for a system of linear algebraic equations. (English. Russian original) Zbl 1439.15002

Comput. Math. Math. Phys. 59, No. 10, 1575-1581 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 10, 1641-1647 (2019).
MSC:  15A06 65F20 65F10
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On the structure of closeness estimates for pseudosolutions of initial and perturbed systems of linear algebraic equations. (English. Russian original) Zbl 1428.15002

Comput. Math. Math. Phys. 59, No. 9, 1399-1421 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 9, 1459-1481 (2019).
MSC:  15A06 65F05 65F20
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Iterative gradient descent methods for solving linear equations. (English. Russian original) Zbl 1432.65039

Comput. Math. Math. Phys. 59, No. 8, 1267-1274 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 8, 1331-1339 (2019).
MSC:  65F10 15A06
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Methods for nonnegative matrix factorization based on low-rank cross approximations. (English. Russian original) Zbl 1426.15018

Comput. Math. Math. Phys. 59, No. 8, 1251-1266 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 8, 1314-1330 (2019).
MSC:  15A23 65F30
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Monotone dualization problem and its generalizations: asymptotic estimates of the number of solutions. (English. Russian original) Zbl 1412.68159

Comput. Math. Math. Phys. 58, No. 12, 2064-2077 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 12, 2153-2168 (2018).
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Determination of consistency and inconsistency radii for systems of linear equations and inequalities using the matrix \(l_1\) norm. (English. Russian original) Zbl 1396.15003

Comput. Math. Math. Phys. 58, No. 6, 840-849 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 6, 873-882 (2018).
MSC:  15A06 90C05
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On the linear classification of even and odd permutation matrices and the complexity of computing the permanent. (English. Russian original) Zbl 1401.15008

Comput. Math. Math. Phys. 57, No. 2, 362-371 (2017); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 2, 362-372 (2017).
MSC:  15A15
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Matrix of moments of the Legendre polynomials and its application to problems of electrostatics. (English. Russian original) Zbl 1368.78017

Comput. Math. Math. Phys. 57, No. 1, 175-187 (2017); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 1, 163-175 (2017).
MSC:  78A30 42C10 15A29
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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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On the principal and strictly particular solutions to infinite systems. (English. Russian original) Zbl 1342.15003

Comput. Math. Math. Phys. 56, No. 3, 343-353 (2016); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 3, 351-362 (2016).
MSC:  15A06 65F05
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The Dines theorem and some other properties of quadratic mappings. (English. Russian original) Zbl 1333.15009

Comput. Math. Math. Phys. 55, No. 10, 1633-1641 (2015); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 10, 1661-1669 (2015).
MSC:  15A63
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Differentiating matrix orthogonal transformations. (English. Russian original) Zbl 1336.65017

Comput. Math. Math. Phys. 55, No. 9, 1419-1431 (2015); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 9, 1460-1473 (2015).
MSC:  65D25 65F30 93C55 65K10 15A24 93E11
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Centrosymmetric property of unitary matrices that preserve the set of \((T+H)\)-matrices under similarity transformations. (English. Russian original) Zbl 1318.15013

Comput. Math. Math. Phys. 55, No. 5, 731-733 (2015); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 5, 739-741 (2015).
MSC:  15A86 15A21 15B05
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Solvability conditions for the matrix equation \(X^TDX+AX+X^TB+C=0\). (English. Russian original) Zbl 1336.15009

Comput. Math. Math. Phys. 55, No. 4, 546-548 (2015); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 4, 555-557 (2015).
MSC:  15A24
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Consistency and inconsistency radii for solving systems of linear equations and inequalities. (English. Russian original) Zbl 1386.15010

Comput. Math. Math. Phys. 55, No. 3, 366-377 (2015); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 3, 372-384 (2015).
MSC:  15A06 15A39
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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 method for verifying Chernikov rules in Fourier-Motzkin elimination. (English. Russian original) Zbl 1318.65021

Comput. Math. Math. Phys. 55, No. 1, 160-167 (2015); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 1, 165-172 (2015).
MSC:  65F30 15A39 65K05
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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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A sufficient condition for the monotonicity of a positive definite matrix. (English. Russian original) Zbl 1024.15009

Comput. Math. Math. Phys. 41, No. 9, 1237-1238 (2001); translation from Zh. Vychisl. Mat. Mat. Fiz. 41, No. 9, 1301-1302 (2001).
MSC:  15B48
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Bounds of determinants of matrices satisfying the Hadamard and Brauer conditions. (English. Russian original) Zbl 1045.15009

Comput. Math. Math. Phys. 41, No. 2, 161-166 (2001); translation from Zh. Vychisl. Mat. Mat. Fiz. 41, No. 1, 179-185 (2001).
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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 annular separation of a matrix spectrum. (English. Russian original) Zbl 0994.15023

Comput. Math. Math. Phys. 40, No. 7, 939-944 (2000); translation from Zh. Vychisl. Mat. Mat. Fiz. 40, No. 7, 980-985 (2000).
MSC:  15A42 15A18
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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 the completeness of the set of eigenvectors of a nonlinear selfadjoint eigenvalue problem. (English. Russian original) Zbl 0994.15011

Comput. Math. Math. Phys. 40, No. 4, 478-479 (2000); translation from Zh. Vychisl. Mat. Mat. Fiz. 40, No. 4, 503-504 (2000).
MSC:  15A18
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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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An extension of the Sherman-Morrison identity to the case of rank-one modification of the full rank pseudoinverse matrix. (English. Russian original) Zbl 0970.15003

Comput. Math. Math. Phys. 39, No. 8, 1228-1230 (1999); translation from Zh. Vychisl. Mat. Mat. Fiz. 39, No. 8, 1280-1282 (1999).
MSC:  15A09 65F20
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Development of some ideas of D. K. Faddeev and V. N. Faddeeva in computational algebra. (English. Russian original) Zbl 0971.65036

Comput. Math. Math. Phys. 38, No. 12, 1877-1883 (1998); translation from Zh. Vychisl. Mat. Mat. Fiz. 38, No. 12, 1955-1961 (1998).
MSC:  65F30 15A54 65F05 15B36 65F40 65F15
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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 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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Improvement of Frobenius bounds for the Perron root of a non-negative matrix. (English. Russian original) Zbl 0944.15006

Comput. Math. Math. Phys. 37, No. 2, 125-132 (1997); translation from Zh. Vychisl. Mat. Mat. Fiz. 37, No. 2, 131-138 (1997).
MSC:  15A18 15A21 15B48
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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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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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The influence of the position of the zeros in a non-negative matrix on the convergence of the algorithm for computing its Perron root. (English. Russian original) Zbl 0832.65033

Comput. Math. Math. Phys. 34, No. 5, 665-670 (1994); translation from Zh. Vychisl. Mat. Mat. Fiz. 34, No. 5, 770-775 (1994).
MSC:  65F15 15B48 15A18
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Investigation and solution of matrix equations over associative rings. (English. Russian original) Zbl 0816.15003

Comput. Math. Math. Phys. 34, No. 2, 133-142 (1994); translation from Zh. Vychisl. Mat. Mat. Fiz. 34, No. 2, 163-174 (1994).
MSC:  15A09 15A24 65F20
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