Found 39 Documents (Results 1–39)
A \(\mu\)-mode BLAS approach for multidimensional tensor-structured problems. (English) Zbl 1528.15001
Fast iterative solvers for the two-dimensional spatial fractional Ginzburg-Landau equations. (English) Zbl 1524.65435
On inexact alternating direction implicit iteration for continuous Sylvester equations. (English) Zbl 1474.65112
Reviewer: Carlos A. De Moura (Rio de Janeiro)
RADI: a low-rank ADI-type algorithm for large scale algebraic Riccati equations. (English) Zbl 1385.65035
Reviewer: Constantin Popa (Constanţa)
The ADI method for bounded real and positive real Lur’e equations. (English) Zbl 1361.65026
Reviewer: Kanakadurga Sivakumar (Chennai)
ADI iteration for Lyapunov equations: A tangential approach and adaptive shift selection. (English) Zbl 1348.65079
An inexact low-rank Newton-ADI method for large-scale algebraic Riccati equations. (English) Zbl 1346.65017
On the solution of large-scale algebraic Riccati equations by using low-dimensional invariant subspaces. (English) Zbl 1330.15017
A preconditioned low-rank CG method for parameter-dependent Lyapunov matrix equations. (English) Zbl 1340.65077
Reviewer: Ninoslav Truhar (Osijek)
A preconditioned block Arnoldi method for large Sylvester matrix equations. (English) Zbl 1289.65099
Reviewer: Ninoslav Truhar (Osijek)
Numerical solution of large and sparse continuous time algebraic matrix Riccati and Lyapunov equations: a state of the art survey. (English) Zbl 1279.65044
Efficient handling of complex shift parameters in the low-rank Cholesky factor ADI method. (English) Zbl 1267.65047
Reviewer: R. P. Tewarson (Stony Brook)
A low-rank Krylov squared Smith method for large-scale discrete-time Lyapunov equations. (English) Zbl 1260.65040
Reviewer: Martin Plešinger (Liberec)
Numerical solution of algebraic Riccati equations. (English) Zbl 1244.65058
Fundamentals of Algorithms 9. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-611972-08-5/pbk; 978-1-611972-09-2/ebook). xvi, 250 p. (2012).
Reviewer: Constantin Popa (Constanţa)
Analysis of the rational Krylov subspace and ADI methods for solving the Lyapunov equation. (English) Zbl 1244.65060
Reviewer: Frank Uhlig (Auburn)
On the numerical solution of large-scale sparse discrete-time Riccati equations. (English) Zbl 1230.65070
Analysis of the solution of the Sylvester equation using low-rank ADI with exact shifts. (English) Zbl 1193.65045
MSC:
65F30
15A24
ADI preconditioned Krylov methods for large Lyapunov matrix equations. (English) Zbl 1189.65078
Reviewer: Rémi Vaillancourt (Ottawa)
Preconditioned global FOM and GMRES methods for solving Lyapunov matrix equations. (English) Zbl 1177.65063
Reviewer: Răzvan Răducanu (Iaşi)
Direct methods and ADI-preconditioned Krylov subspace methods for generalized Lyapunov equations. (English) Zbl 1212.65175
Trail to a Lyapunov equation solver. (English) Zbl 1139.65033
MSC:
65F30
15A24
The perturbation bound for the solution of the Lyapunov equation. (English) Zbl 1146.15005
Reviewer: Stef Graillat (Paris)
Bounds on the trace of a solution to the Lyapunov equation with a general stable matrix. (English) Zbl 1117.93066
On the generalized ADI method for the matrix equation \(X- AXB\)=\(C\). (English) Zbl 1032.65041
Reviewer: Michael Jung (Dresden)
A modified low-rank Smith method for large-scale Lyapunov equations. (English) Zbl 1034.93020
Reviewer: Anatoly Martynyuk (Kyïv)
Fields of values and the ADI method for non-normal matrices. (English) Zbl 0784.65026
Reviewer: Z.Dostal (Ostrava)
SOR-like methods for Lyapunov matrix equations. (English) Zbl 0785.65056
Beauwens, R. (ed.) et al., Iterative methods in linear algebra. Proceedings of the IMACS international symposium, Brussels, Belgium, 2-4 April, 1991. Amsterdam: North-Holland. 233-240 (1992).
ADI iterative solution of Lyapunov equations. (English) Zbl 0785.65057
Beauwens, R. (ed.) et al., Iterative methods in linear algebra. Proceedings of the IMACS international symposium, Brussels, Belgium, 2-4 April, 1991. Amsterdam: North-Holland. 229-231 (1992).
Solution of Lyapunov equations by alternating direction implicit iteration. (English) Zbl 0724.65041
Reviewer: S.Filippi (Gießen)
Alternating direction implicit iteration for systems with complex spectra. (English) Zbl 0737.65027
Reviewer: F.Ribière Michaud (Paris)
Untersuchungen eines Iterationsverfahrens zur Lösung der Lyapunov- Matrix-Gleichung. (Study of an iterative method for the solution of the Lyapunov matrix equation). (German) Zbl 0687.65030
Reviewer: M.Eiermann
Matrices and computations. (Matritsy i vychisleniya). (Russian) Zbl 0537.65024
Moskva: “Nauka” Glavnaya Redaktsiya Fiziko-Matematicheskoj Literatury. 320 p. R. 1.40 (1984).
Reviewer: A.Ruhe
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