Found 381 Documents (Results 1–100)
Numerical methods for an algebraic Riccati equation arising in transport theory in the critical case. (English) Zbl 07735393
Nonlinear elliptic equation with nonlocal integral boundary condition depending on two parameters. (English) Zbl 1498.65138
A new class of complex nonsymmetric algebraic Riccati equations with its \(\omega \)-comparison matrix being an irreducible singular M-matrix. (English) Zbl 1480.65096
Preconditioned inexact Newton-like method for large nonsymmetric eigenvalue problems. (English) Zbl 1476.65053
Construction of Lefkovitch and doubly Lefkovitch matrices with maximal eigenvalues and some diagonal elements prescribed. (English) Zbl 1469.15021
Solving large-scale nonsymmetric algebraic Riccati equations from two-dimensional transport models by doubling. (English) Zbl 1466.65033
Some accelerated iterative algorithms for solving nonsymmetric algebraic Riccati equations arising in transport theory. (English) Zbl 1480.65098
A nonsymmetric Nash-Riccati equation and decoupled schemes for a stabilizing solution. (English) Zbl 1467.65039
Krylov methods for nonsymmetric linear systems. From theory to computations. (English) Zbl 1454.65002
Springer Series in Computational Mathematics 57. Cham: Springer (ISBN 978-3-030-55250-3/hbk; 978-3-030-55253-4/pbk; 978-3-030-55251-0/ebook). xiv, 686 p. (2020).
A parameterized deteriorated PSS preconditioner and its optimization for nonsymmetric saddle point problems. (English) Zbl 1450.65033
Matrix equations in Markov modulated Brownian motion: theoretical properties and numerical solution. (English) Zbl 1451.60095
A comparison of preconditioned Krylov subspace methods for large-scale nonsymmetric linear systems. (English) Zbl 1524.65131
Doubling algorithm for nonsymmetric algebraic Riccati equations based on a generalized transformation. (English) Zbl 1488.65098
Parameterized generalized shift-splitting preconditioners for nonsymmetric saddle point problems. (English) Zbl 1409.65012
Solving the system of Sylvester matrix equations. (English. Russian original) Zbl 1409.15010
Int. Appl. Mech. 54, No. 5, 611-616 (2018); translation from Prikl. Mekh., Kiev 54, No. 5, 136-142 (2018).
New variants of the global Krylov type methods for linear systems with multiple right-hand sides arising in elliptic PDEs. (English) Zbl 1424.65028
MSC:
65F10
Fast verified computation for the minimal nonnegative solution of the nonsymmetric algebraic Riccati equation. (English) Zbl 1432.65051
Matrix methods for Padé approximation: numerical calculation of poles, zeros and residues. (English) Zbl 1390.15032
Backward perturbation analysis and relative algorithms for nonsymmetric linear systems with multiple right-hand sides. (English) Zbl 1513.65123
Convergence rates of a class of predictor-corrector iterations for the nonsymmetric algebraic Riccati equation arising in transport theory. (English) Zbl 1488.65092
On one-parameter family of Newton-like iterations for solving nonsymmetric algebraic Riccati equation from transport theory. (English) Zbl 1446.65026
A new preconditioner update strategy for the solution of sequences of linear systems in structural mechanics: application to saddle point problems in elasticity. (English) Zbl 1398.65047
Fast verified computation for solutions of algebraic Riccati equations arising in transport theory. (English) Zbl 1438.65080
A simpler GMRES and its adaptive variant for shifted linear systems. (English) Zbl 1413.65063
Reviewer: Miroslav Rozloznik
A linear system of differential equations related to vector-valued Jack polynomials on the torus. (English) Zbl 1366.33008
Projected nonsymmetric algebraic Riccati equations and refining estimates of invariant and deflating subspaces. (English) Zbl 1352.15012
A modified SDA method for nonsymmetric algebraic Riccati equations. (Chinese. English summary) Zbl 1499.65148
An incomplete generalized minimum backward perturbation algorithm for large nonsymmetric linear systems. (Chinese. English summary) Zbl 1374.65075
Anderson acceleration of the Jacobi iterative method: an efficient alternative to Krylov methods for large, sparse linear systems. (English) Zbl 1352.65110
Eigenvalue bounds of the shift-splitting preconditioned singular nonsymmetric saddle-point matrices. (English) Zbl 1352.65100
Low-rank Newton-ADI methods for large nonsymmetric algebraic Riccati equations. (English) Zbl 1336.93056
A modified large-scale structure-preserving doubling algorithm for a large-scale Riccati equation from transport theory. (English) Zbl 1337.65037
Reviewer: Constantin Popa (Constanţa)
A new linearized implicit iteration method for nonsymmetric algebraic Riccati equations. (English) Zbl 1330.15018
Numerical methods for a quadratic matrix equation with a nonsingular M-matrix. (English) Zbl 1330.65066
MSC:
65F30
15A24
On some Krylov subspace based methods for large-scale nonsymmetric algebraic Riccati problems. (English) Zbl 1443.65054
On PSS-based constraint preconditioners for singular nonsymmetric saddle point problems. (English) Zbl 1443.65037
A class of generalized shift-splitting preconditioners for nonsymmetric saddle point problems. (English) Zbl 1382.65075
ILU preconditioning based on the FAPINV algorithm. (English) Zbl 1334.65071
Reviewer: Adhemar Bultheel (Leuven)
Global simpler GMRES for nonsymmetric systems with multiple right-hand sides. (English) Zbl 1338.65096
An algorithm for solving nonsymmetric penta-diagonal Toeplitz linear systems. (English) Zbl 1336.65027
Condition number and backward errors of nonsymmetric algebraic Riccati equation. (English) Zbl 1334.15042
MSC:
15A24
A new alternately linearized implicit iteration method for solving nonsymmetric algebraic Riccati equations. (Chinese. English summary) Zbl 1340.65079
Some predictor-corrector-type iterative schemes for solving nonsymmetric algebraic Riccati equations arising in transport theory. (English) Zbl 1340.65074
Reviewer: Ninoslav Truhar (Osijek)
Extending the eigCG algorithm to nonsymmetric Lanczos for linear systems with multiple right-hand sides. (English) Zbl 1340.65056
Reviewer: Ronald B. Morgan (Waco)
A combined preconditioning strategy for nonsymmetric systems. (English) Zbl 1308.65043
Reviewer: Anton Iliev (Plovdiv)
Inverse eigenvalue problems for extended Hessenberg and extended tridiagonal matrices. (English) Zbl 1294.65041
Refining estimates of invariant and deflating subspaces for large and sparse matrices and pencils. (English) Zbl 1290.65036
A modified structure-preserving doubling algorithm for nonsymmetric algebraic Riccati equations from transport theory. (English) Zbl 1278.15013
Constrained principal component analysis and related techniques. (English) Zbl 1282.62150
Monographs on Statistics and Applied Probability 129. Boca Raton, FL: CRC Press (ISBN 978-1-4665-5666-9/hbk; 978-1-4665-5668-3/ebook). xvii, 233 p. (2014).
Reviewer: Yuehua Wu (Toronto)
A general approach to analyse preconditioners for two-by-two block matrices. (English) Zbl 1313.65048
Some predictor-corrector-type iterative schemes for solving nonsymmetric algebraic Riccati equations arising in transport theory. (Chinese. English summary) Zbl 1299.65076
Vector extrapolation applied to algebraic Riccati equations arising in transport theory. (English) Zbl 1288.65057
Low memory and low complexity iterative schemes for a nonsymmetric algebraic Riccati equation arising from transport theory. (English) Zbl 1285.65024
Block Krylov subspace methods for large Stein equations. (Chinese. English summary) Zbl 1289.65103
A preconditioned block Arnoldi method for large Sylvester matrix equations. (English) Zbl 1289.65099
Reviewer: Ninoslav Truhar (Osijek)
The shift techniques for a nonsymmetric algebraic Riccati equation. (English) Zbl 1307.65056
Reviewer: Yanlai Chen (North Dartmouth)
MSC:
65F30
15A24
Solving large-scale nonsymmetric algebraic Riccati equations by doubling. (English) Zbl 1286.65055
Reviewer: Liu Xinguo (Qingdao)
MSC:
65F30
15A24
Quadratic vector equations. (English) Zbl 1268.15014
Reviewer: Mihail Voicu (Iaşi)
On large-scale generalized inverses in solving two-by-two block linear systems. (English) Zbl 1264.65061
Reviewer: Adhemar Bultheel (Leuven)
Low-rank approximation to the solution of a nonsymmetric algebraic Riccati equation from transport theory. (English) Zbl 1302.65110
MSC:
65F30
15A24
A new algorithm for a nonsymmetric algebraic Riccati equation. (Chinese. English summary) Zbl 1289.65113
Mixed and componentwise condition numbers of nonsymmetric algebraic Riccati equation. (English) Zbl 1246.65072
On the convergence rate of an iterative method for solving nonsymmetric algebraic Riccati equations. (English) Zbl 1236.65046
MSC:
65F30
15A24
Restarting the nonsymmetric Lanczos algorithm for eigenvalues and linear equations including multiple right-hand sides. (English) Zbl 1244.65053
Reviewer: Raffaella Pavani (Milano)
MSC:
65F15
The BiCOR and CORS iterative algorithms for solving nonsymmetric linear systems. (English) Zbl 1251.65045
Reviewer: Andrew Douglas (New York)
A new family of global methods for linear systems with multiple right-hand sides. (English) Zbl 1252.65072
MSC:
65F10
A generalization of local symmetric and skew-symmetric splitting iteration methods for generalized saddle point problems. (English) Zbl 1235.65031
Reviewer: R. Militaru (Craiova)
The relaxed Newton-like method for a nonsymmetric algebraic Riccati equation. (English) Zbl 1232.65069
Reviewer: Vasilis Dimitriou (Chania)
Evaluation of the performance of inexact GMRES. (English) Zbl 1209.65040
MSC:
65F10
Preconditioner updates for solving sequences of linear systems in matrix-free environment. (English) Zbl 1240.65092
On a new weighted global GMRES for solving nonsymmetric linear systems with multiple right-hand sides. (English) Zbl 1225.65040
Reviewer: Alan L. Andrew (Bundoora)
A generalized conjugate direction method for nonsymmetric large ill-conditioned linear systems. (English) Zbl 1215.65056
Olshevsky, Vadim (ed.) et al., Matrix methods. Theory, algorithms and applications. Dedicated to the memory of Gene Golub. Based on the 2nd international conference on matrix methods and operator equations, Moscow, Russia, July 23–27, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-283-601-4/hbk). 210-221 (2010).
Nonsymmetric algebraic Riccati equations associated with an M-matrix: Recent advances and algorithms. (English) Zbl 1215.65077
Olshevsky, Vadim (ed.) et al., Matrix methods. Theory, algorithms and applications. Dedicated to the memory of Gene Golub. Based on the 2nd international conference on matrix methods and operator equations, Moscow, Russia, July 23–27, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-283-601-4/hbk). 176-209 (2010).
MSC:
65F30
15A24
On a new class of singular nonsymmetric matrices with nonnegative integer spectra. (English) Zbl 1215.15009
Olshevsky, Vadim (ed.) et al., Matrix methods. Theory, algorithms and applications. Dedicated to the memory of Gene Golub. Based on the 2nd international conference on matrix methods and operator equations, Moscow, Russia, July 23–27, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-283-601-4/hbk). 140-165 (2010).
The iterative solver Risolv with application to the exterior Helmholtz problem. (English) Zbl 1209.65041
A practical framework for the construction of prolongation operators for multigrid based on canonical basis functions. (English) Zbl 1207.65147
The spectral properties of the preconditioned matrix for nonsymmetric saddle point problems. (English) Zbl 1202.65041
Reviewer: Daniel Kressner (Berlin)
Shifted skew-symmetric iteration methods for nonsymmetric linear complementarity problems. (English) Zbl 1201.65098
Reviewer: Karel Zimmermann (Praha)
On a class of singular nonsymmetric matrices with nonnegative integer spectra. (English) Zbl 1198.15020
Viana, Marlos A. G. (ed.) et al., Algebraic methods in statistics and probability II. AMS special session algebraic methods in statistics and probability, March 27–29, 2009, University of Illinois at Urbana-Champaign, Champaign, Il, USA. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4891-3/pbk). Contemporary Mathematics 516, 319-325 (2010).
General matrix pencil techniques for solving discrete-time nonsymmetric algebraic Riccati equations. (English) Zbl 1213.15011
Reviewer: Huajun Huang (Auburn)
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