Found 486 Documents (Results 1–100)

100
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A structure-preserving doubling algorithm for solving a class of quadratic matrix equation with $$M$$-matrix. (English)Zbl 07510597

MSC:  65F45 15A24
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Singular matrices that are products of two idempotents or products of two nilpotents. (English)Zbl 07451221

MSC:  15B33 15A23
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Quadratic non-stochastic operators: examples of splitted chaos. (English)Zbl 07450629

MSC:  17D92 17D99 60J27
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An alternative approach for solving the quadratic matrix equation $$C^\ast X^\ast A X C + C^\ast X^\ast B + B^\ast X C + D = 0$$. (English)Zbl 1479.15015

MSC:  15A24 65F45
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The solutions to the quadratic matrix equation $$X^* A X + B^* X + D = 0$$. (English)Zbl 07425986

MSC:  15A09 15A24
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Conjugate gradient-like algorithms for constrained operator equation related to quadratic inverse eigenvalue problems. (English)Zbl 1476.65058

MSC:  65F18 65F10
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The selection of the optimal parameter in the modulus-based matrix splitting algorithm for linear complementarity problems. (English)Zbl 07402750

MSC:  65H10 90C33 90Cxx
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New iteration method for a quadratic matrix equation associated with an M-matrix. (English)Zbl 1474.65110

MSC:  65F45 15A24

A variant of d’Alembert’s matrix functional equation. (English)Zbl 1467.39017

MSC:  39B42 39B52
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A nonsymmetric Nash-Riccati equation and decoupled schemes for a stabilizing solution. (English)Zbl 1467.65039

MSC:  65F45 15A24
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Matrix Diophantine equations over quadratic rings and their solutions. (English)Zbl 1458.15029

MSC:  15A24 11D09
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Quadratic stochastic processes of type $$(\sigma|\mu)$$. (English)Zbl 07303968

MSC:  17D92 17D99 60J27
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Finite-time stochastic linear quadratic optimal control based on $$Q$$-learning. (Chinese. English summary)Zbl 1463.49039

MSC:  49K45 93E20 49N10
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D’Alembert’s matrix functional equation with an endomorphism on abelian groups. (English)Zbl 1451.39021

MSC:  39B42 39B52
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Order reduction methods for solving large-scale differential matrix Riccati equations. (English)Zbl 1452.65078

MSC:  65F45 15A24 65L05
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Matrix equations in Markov modulated Brownian motion: theoretical properties and numerical solution. (English)Zbl 1451.60095

MSC:  60J65 60-08 60J60
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MSC:  65-XX
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MSC:  65R20
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An accelerated cyclic-reduction-based solvent method for solving quadratic eigenvalue problem of gyroscopic systems. (English)Zbl 1442.65055

MSC:  65F15 15A24
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Solutions to a class of equations in integral matrices of order 2. (Chinese. English summary)Zbl 1449.15044

MSC:  15A24 15B36 11D09
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Newton’s method for solving the tensor square root problem. (English)Zbl 1468.65040

MSC:  65F60 15A69
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On the quaternionic quadratic equation $$xax+bx+xc+d=0$$. (English)Zbl 1436.15036

MSC:  15B33 12E15 65H05
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A system of functional equations satisfied by components of a quadratic function and its stability. (English)Zbl 1420.39021

MSC:  39B72 39B82
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$$kn - 2$$ scalar matrix and its functional equations by mathematical modeling. (English)Zbl 1429.39015

Ruzhansky, Michael (ed.) et al., Advanced topics in mathematical analysis. Boca Raton, FL: CRC Press. 449-468 (2019).
MSC:  39B42 15A24 39B62

Chebyshev cardinal wavelets for nonlinear variable-order fractional quadratic integral equations. (English)Zbl 1433.65352

MSC:  65R20 45G10 65T60
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Markov processes of cubic stochastic matrices: quadratic stochastic processes. (English)Zbl 1481.60143

MSC:  60J27 15B51
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The standard form of matrices over quadratic rings with respect to $$z,k$$-equivalence and the structure of solutions of linear bilateral matrix equations. (Ukrainian, English)Zbl 1438.15037

MSC:  15A24 15B33

Matrix pairs whose sum is equal to product and generalized quadratic matrices. (Chinese. English summary)Zbl 1424.15027

MSC:  15A24 15A12
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On quadratic matrix equations with infinite size coefficients encountered in QBD stochastic processes. (English)Zbl 07031734

MSC:  65F30 15B05 15A24
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Rota-Baxter operators on quadratic algebras. (English)Zbl 1431.17003

MSC:  17A45 17C50 16T25
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Quantum groups and noncommutative geometry. With a contribution by Theo Raedschelders and Michel Van den Bergh. 2nd edition. (English)Zbl 1430.16001

CRM Short Courses. Cham: Springer; Montreal: Centre de Recherches Mathématiques (CRM) (ISBN 978-3-319-97986-1/hbk; 978-3-319-97987-8/ebook). viii, 125 p. (2018).
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The unified frame of alternating direction method of multipliers for three classes of matrix equations arising in control theory. (English)Zbl 1391.93093

MSC:  93B40 15A24
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Fast verified computation for the solvent of the quadratic matrix equation. (English)Zbl 1391.65108

MSC:  65F30 15A24 65G20

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Approximate solution of nonlinear quadratic integral equations of fractional order via piecewise linear functions. (English)Zbl 1377.65171

MSC:  65R20 45G10 26A33
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An efficient decomposition method for solving telegraph equation through quadratic Legendre multiwavelets. (English)Zbl 1397.65198

MSC:  65M70 49M27 65T60
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Analytical aspects of the interval unilateral quadratic matrix equations and their united solution sets. (English)Zbl 1387.65041

MSC:  65G40 65F30
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On the Yang-Baxter-like matrix equation for rank-two matrices. (English)Zbl 1361.15019

MSC:  15A24 15A21
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Local convergence of functional iterations for solving a quadratic matrix equation. (English)Zbl 1364.65098

MSC:  65F30 15A24 65F10 65H10
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Sums of nilpotent matrices. (English)Zbl 1360.16026

Reviewer: Hu Jun (Beijing)
MSC:  16S50 16U99
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Solving the Yang-Baxter-like matrix equation for rank-two matrices. (English)Zbl 1353.15014

MSC:  15A24 15A18 15A21
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Projection-based commuting solutions of the Yang-Baxter matrix equation for non-semisimple eigenvalues. (English)Zbl 1353.15013

MSC:  15A24 15A18
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Flow of finite-dimensional algebras. (English)Zbl 1406.17048

MSC:  17D92 60J27 15B51
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MSC:  15A24
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Finite element methods for eigenvalue problems. (English)Zbl 1351.65085

Monographs and Research Notes in Mathematics. Boca Raton, FL: CRC Press (ISBN 978-1-4822-5464-8/hbk; 978-1-4822-5465-5/ebook). xxiii, 343 p. (2017).
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MSC:  15A24
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Diagonal update method for a quadratic matrix equation. (English)Zbl 1410.65188

MSC:  65H10 15A24
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Quadratic $$\rho$$-functional inequalities in complex matrix normed spaces. (English)Zbl 1377.39040

MSC:  39B62 39B82 39B52
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A quasi-Newton algorithm to solve the matrix quadratic equation. (Spanish. English summary)Zbl 1367.65065

MSC:  65F30 65F10 15A24
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Quadratic spline collocation method and efficient preconditioner for the Helmholtz equation with the Sommerfeld boundary conditions. (English)Zbl 1365.65266

MSC:  65N35 35J05 65F05
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The Ulam stability of functional equation on matrix quasi-normed spaces. (Chinese. English summary)Zbl 1374.39036

MSC:  39B82 39B52

Solving the Yang-Baxter-like matrix equation for a class of elementary matrices. (English)Zbl 1361.15014

MSC:  15A24 15A21 15A18 65F30
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Application of modified hat functions for solving nonlinear quadratic integral equations. (English)Zbl 1357.65323

MSC:  65R20 45G10
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On the stability of the functional equation in matrix $$\beta$$-normed spaces. (English)Zbl 1363.39043

MSC:  39B82 39B42 39B52
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MSC:  65F15
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Backward error analysis for some quadratic eigenvalue problems. (Chinese. English summary)Zbl 1363.15017

MSC:  15A18 15A24
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Neutral subspaces of complex matrices. (English. Russian original)Zbl 1347.15020

J. Math. Sci., New York 216, No. 6, 783-786 (2016); translation from Zap. Nauchn. Semin. POMI 439, 93-98 (2015).
MSC:  15A24 15A03
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On the number of solutions of a quadratic equation in a normed space. (English)Zbl 1349.39040

MSC:  39B42 35J60
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Analysis of an iteration method for the algebraic Riccati equation. (English)Zbl 1339.15010

MSC:  15A24 49N10 47J20 65F30 49M30 93B52 65K10
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MSC:  90C20
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Numerical methods for a quadratic matrix equation with a nonsingular M-matrix. (English)Zbl 1330.65066

MSC:  65F30 15A24
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Explicit solution for the stationary distribution of a discrete-time finite buffer queue. (English)Zbl 1329.60317

MSC:  60K25 60J10 90B22
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Matrices. Algebra, analysis and applications. (English)Zbl 1337.15002

Hackensack, NJ: World Scientific (ISBN 978-981-4667-96-8/hbk; 978-981-4667-98-2/ebook). xii, 582 p. (2016).
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Numerical linear algebra methods for linear differential-algebraic equations. (English)Zbl 1343.65100

Ilchmann, Achim (ed.) et al., Surveys in differential-algebraic equations III. Cham: Springer (ISBN 978-3-319-22427-5/pbk; 978-3-319-22428-2/ebook). Differential-Algebraic Equations Forum, 117-175 (2015).
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Linear-quadratic regulator. I: A new solution. (English. Russian original)Zbl 1334.49102

Autom. Remote Control 76, No. 12, 2143-2155 (2015); translation from Avtom. Telemekh. 2015, No. 12, 65-79 (2015).
MSC:  49N10 49M30 93C15
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A new look at the doubling algorithm for a structured palindromic quadratic eigenvalue problem. (English)Zbl 1363.65097

MSC:  65H17 65F15 15A24
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Real and integer extended rank reduction formulas and matrix decompositions: A review. (English)Zbl 1330.65067

Al-Baali, Mehiddin (ed.) et al., Numerical analysis and optimization. Selected papers based on the presentations at the 3rd international conference, NAO-III, Muscat, Oman, January 5–9, 2014. Cham: Springer (ISBN 978-3-319-17688-8/hbk; 978-3-319-17689-5/ebook). Springer Proceedings in Mathematics & Statistics 134, 237-259 (2015).
MSC:  65F30 15A21 65F10 65F05
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The algebraic Riccati equation and its role in indefinite inner product spaces. (English)Zbl 1335.47009

Alpay, Daniel (ed.), Operator theory. With 51 figures and 2 tables. In 2 volumes. Basel: Springer (ISBN 978-3-0348-0666-4/print; 978-3-0348-0667-1/ebook; 978-3-0348-0668-8/print+ebook; 978-3-0348-0692-3/online (updated continuously)). Springer Reference, 451-469 (2015).
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The modified Newton-Shamanskii method for the solution of a quadratic vector equation arising in Markovian binary trees. (English)Zbl 1331.65065

MSC:  65F30 65H10
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Fuzzy stability of functional equations in matrix fuzzy normed spaces. (English)Zbl 1408.39028

MSC:  39B82 26E50 46S40

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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Commuting solutions of the Yang-Baxter matrix equation. (English)Zbl 1315.15014

MSC:  15A24 15A21 15A27
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General exact solutions of the second-order homogeneous algebraic differential equations. (English)Zbl 1314.34005

MSC:  34A05 34A30 34A09
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Perturbation estimates for the two kinds of algebraic Riccati equations arising in a stochastic control. (English)Zbl 1360.93393

MSC:  93C55 49N10 65F30 15A24 93E20
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Ambarzumyan type theorem for a matrix valued quadratic Sturm-Liouville problem. (English)Zbl 1356.34029

MSC:  34B07 34A55
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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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An AQCQ-functional equation in matrix random normed spaces. (English)Zbl 1332.39024

Rassias, Themistocles M. (ed.) et al., Topics in mathematical analysis and applications. Cham: Springer (ISBN 978-3-319-06553-3/hbk; 978-3-319-06554-0/ebook). Springer Optimization and Its Applications 94, 523-540 (2014).
MSC:  39B82 39B52 46S50
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