Found 109 Documents (Results 1–100)
A parallel-in-time preconditioner for Crank-Nicolson discretization of a parabolic optimal control problem. (English) Zbl 07890936
A matching Schur complement preconditioning technique for inverse source problems. (English) Zbl 07859312
Modeling excitable cells with the EMI equations: spectral analysis and iterative solution strategy. (English) Zbl 1533.65045
Reviewer: Steven B. Damelin (Ann Arbor)
Distribution results for a special class of matrix sequences: joining approximation theory and asymptotic linear algebra. (English) Zbl 1521.15025
Fine spectral estimates with applications to the optimally fast solution of large FDE linear systems. (English) Zbl 1502.15026
Preconditioners for fractional diffusion equations based on the spectral symbol. (English) Zbl 07584149
Reviewer: Adhemar Bultheel (Leuven)
B-spline collocation discretizations of Caputo and Riemann-Liouville derivatives: a matrix comparison. (English) Zbl 1498.65172
Computational methods for boundary optimal control and identification problems. (English) Zbl 1540.65110
A short survey on preconditioners and Korovkin-type theorems. (English) Zbl 07383685
Reviewer: Adhemar Bultheel (Leuven)
New conjugate gradient algorithms based on self-scaling memoryless Broyden-Fletcher-Goldfarb-Shanno method. (English) Zbl 1445.90100
MSC:
90C30
Laplacian preconditioning of elliptic PDEs: localization of the eigenvalues of the discretized operator. (English) Zbl 1495.65212
A coarse-fine-mesh stabilization for an alternating Schwarz domain decomposition method. (English) Zbl 1463.65400
Reviewer: Ivana Pultarová (Praha)
Spectral analysis and multigrid methods for finite volume approximations of space-fractional diffusion equations. (English) Zbl 1405.65161
Staggered discontinuous Galerkin methods for the incompressible Navier-Stokes equations: spectral analysis and computational results. (English) Zbl 1513.65356
Optimal preconditioners for systems defined by functions of Toeplitz matrices. (English) Zbl 1392.65030
A Dai-Liao conjugate gradient algorithm with clustering of eigenvalues. (English) Zbl 06860411
MSC:
65-XX
Exploration of Toeplitz-like matrices with unbounded symbols is not a purely academic journey. (English. Russian original) Zbl 1482.47049
Sb. Math. 208, No. 11, 1602-1627 (2017); translation from Mat. Sb. 208, No. 11, 29-55 (2017).
A convergence analysis of the MINRES method for some Hermitian indefinite systems. (English) Zbl 1383.65028
MSC:
65F10
Spectral analysis and multigrid preconditioners for two-dimensional space-fractional diffusion equations. (English) Zbl 1380.65240
Relaxing the roles of corners in BDDC by perturbed formulation. (English) Zbl 1367.65047
Lee, Chang-Ock (ed.) et al., Domain decomposition methods in science and engineering XXIII. Proceedings of the 23rd international conference, Jeju Island, Korea, July 6–10, 2015. Cham: Springer (ISBN 978-3-319-52388-0/hbk; 978-3-319-52389-7/ebook). Lecture Notes in Computational Science and Engineering 116, 397-405 (2017).
Eigenvalues versus singular values study in conjugate gradient algorithms for large-scale unconstrained optimization. (English) Zbl 1368.49057
An optimal Schwarz preconditioner for a class of parallel adaptive finite elements. (English) Zbl 1366.65107
Parameter-robust discretization and preconditioning of Biot’s consolidation model. (English) Zbl 1381.76183
Symbol-based multigrid methods for Galerkin B-spline isogeometric analysis. (English) Zbl 1355.65153
Spectral analysis of coupled PDEs and of their Schur complements via generalized locally Toeplitz sequences in 2D. (English) Zbl 1439.65138
A new adaptive conjugate gradient algorithm for large-scale unconstrained optimization. (English) Zbl 1354.90072
Goldengorin, Boris (ed.), Optimization and applications in control and data sciences. In honor of Boris T. Polyak’s 80th birthday. Selected papers based on the presentations at the international conference, Moscow, Russia, May, 13–15, 2015. Cham: Springer (ISBN 978-3-319-42054-7/hbk; 978-3-319-42056-1/ebook). Springer Optimization and Its Applications 115, 1-16 (2016).
MSC:
90C06
Spectral analysis and structure preserving preconditioners for fractional diffusion equations. (English) Zbl 1352.65305
On the restrictively preconditioned conjugate gradient method for solving saddle point problems. (English) Zbl 1339.65049
Reviewer: Adhemar Bultheel (Leuven)
Essential spectral equivalence via multiple step preconditioning and applications to ill conditioned Toeplitz matrices. (English) Zbl 1391.65071
An adaptive conjugate gradient algorithm for large-scale unconstrained optimization. (English) Zbl 1321.90124
Computational evaluation of multi-iterative approaches for solving graph-structured large linear systems. (English) Zbl 1329.65069
Efficient solution techniques for a finite element thin plate spline formulation. (English) Zbl 1318.65074
On the spectrum of stiffness matrices arising from isogeometric analysis. (English) Zbl 1298.65172
Reviewer: Marius Ghergu (Dublin)
Total and selective reuse of Krylov subspaces for the resolution of sequences of nonlinear structural problems. (English) Zbl 1352.65105
MSC:
65F10
A note on the (regularizing) preconditioning of \(g\)-Toeplitz sequences via \(g\)-circulants. (English) Zbl 1244.65045
Reviewer: Constantin Popa (Constanţa)
Preconditioning discretizations of systems of partial differential equations. (English) Zbl 1249.65246
Reviewer: Tomáš Vejchodský (Praha)
Optimization of the iteration parameters of the simulation of incompressible flow. (English) Zbl 1426.76329
Band plus algebra preconditioners for two-level Toeplitz systems. (English) Zbl 1230.65043
Reviewer: Adhemar Bultheel (Leuven)
Simulation of incompressible flow with alternate pressure Dirichlet and Neumann conditions. (English) Zbl 1372.76076
MSC:
76M25
65N08
Preconditioners for ill-posed Toeplitz matrices with differentiable generating functions. (English) Zbl 1224.65073
Reviewer: Martin Plešinger (Liberec)
Applications of statistical condition estimation to the solution of linear systems. (English) Zbl 1212.65130
Reviewer: J. D. Tebbens (Praha)
Superlinear convergence for PCG using band plus algebra preconditioners for Toeplitz systems. (English) Zbl 1155.65322
MSC:
65F10
The GLT class as a generalized Fourier analysis and applications. (English) Zbl 1109.65032
Reviewer: Raffaella Pavani (Milano)
MSC:
65F10
On optimal improvements of classical iterative schemes for \(Z\)-matrices. (English) Zbl 1089.65026
Reviewer: Constantin Popa (Constanta)
A classification scheme for regularizing preconditioners, with application to Toeplitz systems. (English) Zbl 1071.65062
Reviewer: R. P. Tewarson (Stony Brook)
On the rate of convergence and complexity of normalized implicit preconditioning for solving finite difference equations in three space variables. (English) Zbl 1083.65102
Reviewer: Leonid B. Chubarov (Novosibirsk)
Iterative solution methods. (English) Zbl 1062.65038
Superlinearly convergent CG methods via equivalent preconditioning for nonsymmetric elliptic operators. (English) Zbl 1061.65043
Reviewer: Karel Najzar (Praha)
Analysis of preconditioning strategies for collocation linear systems. (English) Zbl 1030.65037
Reviewer: Krassimir Georgiev (Sofia)
Hartley-type algebras in displacement and optimization strategies. (English) Zbl 1044.65050
Reviewer: Otu Vaarmann (Tallinn)
How to prove that a preconditioner cannot be superlinear. (English) Zbl 1021.15005
Reviewer: Horst Hollatz (Magdeburg)
Spectral behavior of matrix sequences and discretized boundary value problems. (English) Zbl 1004.15012
Reviewer: Amin Boumenir (Carrollton)
A cost/benefit analysis of simplicial mesh improvement techniques as measured by solution efficiency. (English) Zbl 1074.68639
Spectral equivalence and proper clusters for matrices from the boundary element method. (English) Zbl 0978.65112
Reviewer: Ariadna Lucia Pletea (Iaşi)
Korovkin tests, approximation, and ergodic theory. (English) Zbl 0956.65021
Reviewer: A.Bultheel (Leuven)
Some theorems on linear positive operators and functionals and their applications. (English) Zbl 1003.47030
Reviewer: Yuri A.Abramovich (Indianapolis)
MSC:
47B65
Preconditioned conjugate gradient method for rank deficient least-squares problems. (English) Zbl 0948.65041
Reviewer: R.P.Tewarson (Stony Brook)
Extreme singular values and eigenvalues of non-Hermitian block Toeplitz matrices. (English) Zbl 0937.15013
Reviewer: Vaclav Burjan (Praha)
Preconditioned iterative methods for solving 3D boundary value problems. (English) Zbl 0930.65026
Reviewer: K.Georgiev (Sofia)
Superlinear PCG methods for symmetric Toeplitz systems. (English) Zbl 1043.65066
MSC:
65F30
Efficient approximate solution of sparse linear systems. (English) Zbl 0934.65033
Comput. Math. Appl. 36, No. 9, 35-58 (1998); errata ibid. 38, No. 2, 141 (1999).
Korovkin theorems and linear positive Gram matrix algebra approximations of Toeplitz matrices. (English) Zbl 0936.65059
Reviewer: G.Jumarie (Montréal)
Capizzano, Stefano Serra. (An ergodic theorem for classes of preconditioned matrices.) (English) Zbl 0935.65026
Reviewer: A.Meister (Hamburg)
MSC:
65F10
Optimal, quasi-optimal and superlinear band-Toeplitz preconditioners for asymptotically ill-conditioned positive definite Toeplitz systems. (English) Zbl 0864.65019
Experimental study of ILU preconditioners for indefinite matrices. (English) Zbl 0891.65028
Reviewer: Liu Xinguo (Qingdao)
The extension of the concept of the generating function to a class of preconditioned Toeplitz matrices. (English) Zbl 0933.65038
Reviewer: R.H.W.Hoppe (München)
Clusters, preconditioners, convergence. (English) Zbl 0917.65032
Reviewer: J.R.Sendra (Madrid)
On the asymptotic spectrum of Hermitian block Toeplitz matrices with Toeplitz blocks. (English) Zbl 0870.65031
Preconditioned conjugate gradient method for generalized least squares problems. (English) Zbl 0861.65036
Reviewer: Liu Xinguo (Qingdao)
Which circulant preconditioner is better? (English) Zbl 0847.65029
Reviewer: A.Bultheel (Leuven)
A practical algorithm to design fast and optimal band-Toeplitz preconditioners for Hermitian Toeplitz systems. (English) Zbl 0904.65037
On eigen and singular value clusters. (English) Zbl 0904.15006
MSC:
15A18
A theoretical overview of Krylov subspace methods. (English) Zbl 0854.65031
Reviewer: J.Zítko (Praha)
MSC:
65F10
Circulant preconditioners with unbounded inverses. (English) Zbl 0821.65013
Reviewer: A.Bultheel (Leuven)
Preconditioning strategies for asymptotically ill-conditioned block Toeplitz systems. (English) Zbl 0823.65030
Reviewer: A.Ruhe (Göteborg)
A numerical study of optimized sparse preconditioners. (English) Zbl 0812.65029
Reviewer: R.H.W.Hoppe (München)
Accuracy and effectiveness of preconditioned conjugate gradient algorithms for large and ill-conditioned problems. (English) Zbl 0845.73072
On the convergence rate of the conjugate gradients in presence of rounding errors. (English) Zbl 0791.65016
Reviewer: Yvan Notay (Bruxelles)
On the robustness of modified incomplete factorization methods. (English) Zbl 0766.65032
Reviewer: V.Prepeliţă (Bucureşti)
RILU preconditioning; a computational study. (English) Zbl 0759.65064
Reviewer: S.L.Svensson (Lund)
Galerkin-wavelet methods for two-point boundary value problems. (English) Zbl 0771.65050
Reviewer: L.Boubelíková (Praha)
On the real convergence rate of the conjugate gradient method. (English) Zbl 0732.65021
Reviewer: Z.Dostal (Ostrava)
MSC:
65F10
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