Found 787 Documents (Results 1–100)
A \(\tau \)-preconditioner for space fractional diffusion equation with non-separable variable coefficients. (English) Zbl 07880211
Solving linear systems of the form \((A+\gamma UU^T)\,x=b\) by preconditioned iterative methods. (English) Zbl 07837043
Reviewer: Ninoslav Truhar (Osijek)
An augmented Lagrangian-based preconditioning technique for a class of block three-by-three linear systems. (English) Zbl 1542.65037
Reviewer: Georg Hebermehl (Berlin)
The generalized residual cutting method and its convergence characteristics. (English) Zbl 07790634
MSC:
65F10
Numerical methods for solving large-scale systems of differential equations. (English) Zbl 1526.65014
On the Forsythe conjecture. (English) Zbl 1526.65008
MSC:
65F10
A fast ADI based matrix splitting preconditioning method for the high dimensional space fractional diffusion equations in conservative form. (English) Zbl 1538.65274
Adaptively restarted block Krylov subspace methods with low-synchronization skeletons. (English) Zbl 1522.65057
A matrix splitting preconditioning method for solving the discretized tempered fractional diffusion equations. (English) Zbl 1508.65021
Efficient ADI schemes and preconditioning for a class of high-dimensional spatial fractional diffusion equations with variable diffusion coefficients. (English) Zbl 1505.65284
An optimality property of an approximated solution computed by the Hessenberg method. (English) Zbl 1514.65038
MSC:
65F10
Application and performance evaluation of a method using block structures for saddle point problems appearing in image reconstruction problems. (English) Zbl 1509.65018
On block fast regularized Hermitian splitting preconditioning methods for solving discretized almost-isotropic high-dimensional spatial fractional diffusion equations. (Chinese. English summary) Zbl 1513.65055
An alternative method for SPP with full rank (2,1)-block matrix and nonzero right-hand side vector. (English) Zbl 1495.65035
MSC:
65F10
On non-Hermitian positive (semi)definite linear algebraic systems arising from dissipative Hamiltonian DAEs. (English) Zbl 1501.65026
Lopsided shift-splitting preconditioner for saddle point problems with three-by-three structure. (English) Zbl 1513.65061
Conservation properties of iterative methods for implicit discretizations of conservation laws. (English) Zbl 1501.65046
Reviewer: Abdallah Bradji (Annaba)
Domain decomposition based preconditioner combined local low-rank approximation with global corrections. (English) Zbl 1524.65195
Block splitting preconditioner for time-space fractional diffusion equations. (English) Zbl 1489.65052
Solving symmetric and positive definite second-order cone linear complementarity problem by a rational Krylov subspace method. (English) Zbl 1484.65141
Shifted power-GMRES method accelerated by extrapolation for solving PageRank with multiple damping factors. (English) Zbl 1510.65070
On \(\tau\) matrix-based approximate inverse preconditioning technique for diagonal-plus-Toeplitz linear systems from spatial fractional diffusion equations. (English) Zbl 1485.65029
Deteriorated HSS-like methods for the weighted Toeplitz least squares problem from image restoration. (English) Zbl 07907268
Kω – open-source library for the shifted Krylov subspace method of the form \((z I - H)x = b\). (English) Zbl 1518.65002
Augmented and deflated CMRH method for solving nonsymmetric linear systems. (English) Zbl 1499.65120
MSC:
65F10
A novel reduced-order algorithm for rational models based on Arnoldi process and Krylov subspace. (English) Zbl 1478.93081
Fast algorithms for high-dimensional variable-order space-time fractional diffusion equations. (English) Zbl 1476.65049
A variant of relaxed alternating positive semi-definite splitting preconditioner for double saddle point problems. (English) Zbl 1483.65048
Corrigendum 2 to: “A geometric view of Krylov subspace methods on singular systems”. (English) Zbl 1488.65071
A new preconditioning approach for an interior point-proximal method of multipliers for linear and convex quadratic programming. (English) Zbl 07396244
Fast IIF-WENO method on non-uniform meshes for nonlinear space-fractional convection-diffusion-reaction equations. (English) Zbl 1500.65042
Preconditioning for linear systems arising from IgA discretized incompressible Navier-Stokes equations. (English) Zbl 1501.65073
van Brummelen, Harald (ed.) et al., Isogeometric analysis and applications 2018. Selected papers based on the presentations at the third conference, IGAA 2018, Delft, The Netherlands, April 23–26, 2018. Cham: Springer. Lect. Notes Comput. Sci. Eng. 133, 77-97 (2021).
An efficient second-order energy stable BDF scheme for the space fractional Cahn-Hilliard equation. (English) Zbl 1481.65168
A preconditioning technique for an all-at-once system from Volterra subdiffusion equations with graded time steps. (English) Zbl 1468.76055
A two-level iterative scheme for general sparse linear systems based on approximate skew-symmetrizers. (English) Zbl 1464.65040
Fast second-order implicit difference schemes for time distributed-order and Riesz space fractional diffusion-wave equations. (English) Zbl 1524.65356
A power Schur complement low-rank correction preconditioner for general sparse linear systems. (English) Zbl 07340707
MSC:
65F10
A preconditioning technique in conjunction with Krylov subspace methods for solving multilinear systems. (English) Zbl 1469.65070
A simplified PSS preconditioner for non-Hermitian generalized saddle point problems. (English) Zbl 1466.76038
On the choice of regularization matrix for an \(\ell_2\)-\(\ell_q\) minimization method for image restoration. (English) Zbl 1460.65077
Acceleration of implicit schemes for large linear systems of differential-algebraic equations. (English) Zbl 1459.65130
A fast collocation approximation to a two-sided variable-order space-fractional diffusion equation and its analysis. (English) Zbl 1458.65100
The conjugate gradient method as a journey through centuries. (Czech) Zbl 1524.65149
Reviewer: Jiří Rákosník (Praha)
On moment methods in Krylov subspaces. (English. Russian original) Zbl 07424670
Dokl. Math. 102, No. 3, 478-482 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 495, 38-43 (2020).
Krylov subspace methods for trust-region subproblem and beyond. (English) Zbl 1461.90089
Ji, Lizhen (ed.) et al., Proceedings of the international consortium of Chinese mathematicians, 2018. Second meeting, Taipei, Taiwan, December 2018. Somerville, MA: International Press. 721-740 (2020).
A preconditioned Krylov subspace iterative methods for inverse source problem by virtue of a regularizing LM-DRBEM. (English) Zbl 1466.65170
Fast upwind and Eulerian-Lagrangian control volume schemes for time-dependent directional space-fractional advection-dispersion equations. (English) Zbl 1453.65247
Hybrid regularization LSQR algorithm for image denoising. (Chinese. English summary) Zbl 1463.65054
New strategies for determining backward perturbation bound of approximate two-sided Krylov subspaces. (English) Zbl 1538.65074
Preconditioned iterative methods for the convective FitzHugh-Nagumo equations. (English) Zbl 1524.65138
Inexact Newton-type methods based on Lanczos orthonormal method and application for full waveform inversion. (English) Zbl 1451.65030
Two-level method for the total fractional-order variation model in image deblurring problem. (English) Zbl 1451.94008
Preconditioned Krylov subspace and GMRHSS iteration methods for solving the nonsymmetric saddle point problems. (English) Zbl 1452.65055
The simpler block CMRH method for linear systems. (English) Zbl 1470.65048
MSC:
65F10
GPBi-CGstab(\(L\)): a Lanczos-type product method unifying Bi-CGstab(\(L\)) and GPBi-CG. (English) Zbl 1538.65061
Fast conservative numerical algorithm for the coupled fractional Klein-Gordon-Schrödinger equation. (English) Zbl 1442.65168
Changing over stopping criterion for stable solving nonsymmetric linear equations by preconditioned conjugate gradient squared method. (English) Zbl 1441.65032
An extension of the positive-definite and skew-Hermitian splitting method for preconditioning of generalized saddle point problems. (English) Zbl 1439.65041
A preconditioning technique for all-at-once system from the nonlinear tempered fractional diffusion equation. (English) Zbl 1435.65135
The numerical solution of forward and inverse Robin problems for Laplace’s equation. (English) Zbl 1524.65737
Fast second-order accurate difference schemes for time distributed-order and Riesz space fractional diffusion equations. (English) Zbl 1468.65175
A fast preconditioned iterative method for the electromagnetic scattering by multiple cavities with high wave numbers. (English) Zbl 1453.78015
Structure of the preconditioned system in various preconditioned conjugate gradient squared algorithms. (English) Zbl 1452.65061
Regularized preconditioners for solving non-symmetric generalized saddle point problems. (Chinese. English summary) Zbl 1449.65045
Preconditioned global Krylov subspace methods for solving saddle point problems with multiple right-hand sides. (English) Zbl 1431.65028
On Euler preconditioned SHSS iterative method for a class of complex symmetric linear systems. (English) Zbl 1530.65037
Reviewer: Zhen Chao (Milwaukee)
Tensor-train format solution with preconditioned iterative method for high dimensional time-dependent space-fractional diffusion equations with error analysis. (English) Zbl 1428.65069
Improved relaxed positive-definite and skew-Hermitian splitting preconditioners for saddle point problems. (English) Zbl 1438.65035
On the generalized deteriorated positive semi-definite and skew-Hermitian splitting preconditioner. (English) Zbl 1438.65036
LSMR iterative method for solving one- and two-dimensional linear Fredholm integral equations. (English) Zbl 1438.65042
A new aggregation algorithm based on coordinates partitioning recursively for algebraic multigrid method. (English) Zbl 1422.65062
Comparison of two-dimensional dual-phase-lag and Fourier-Kirchhoff model order reduction using Krylov subspace method. (English) Zbl 1538.80006
On a type of matrix splitting preconditioners for a class of block two-by-two linear systems. (English) Zbl 1461.65036
Weighted and flexible versions of block CMRH method for solving nonsymmetric linear systems with multiple right-hand sides. (English) Zbl 1442.65036
Robust block preconditioners for Biot’s model. (English) Zbl 1442.65342
Bjørstad, Petter E. (ed.) et al., Domain decomposition methods in science and engineering XXIV. Proceedings of the 24th international conference, Svalbard, Norway, February 6–10, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 125, 3-16 (2018).
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