Found 1,131 Documents (Results 1–100)
Extending quasi-GMRES method to solve generalized Sylvester tensor equations via the Einstein product. (English) Zbl 07908215
Tensorial total variation-based image and video restoration with optimized projection methods. (English) Zbl 07895158
SUPG-based stabilized finite element computations of convection-dominated 3D elliptic PDEs using shock-capturing. (English) Zbl 07890871
Recycling Krylov subspaces for efficient partitioned solution of aerostructural adjoint systems. (English) Zbl 07870137
Iterative solution methods for high-order/\(hp\)-DGFEM approximation of the linear Boltzmann transport equation. (English) Zbl 07859657
Iterated Gauss-Seidel GMRES. (English) Zbl 1541.65020
A new block triangular preconditioner for three-by-three block saddle-point problem. (English) Zbl 07830499
The Helmholtz equation with uncertainties in the wavenumber. (English) Zbl 1533.65233
Reviewer: Xue Jiang (Beijing)
A modified new matrix splitting preconditioner for double saddle point problems. (English) Zbl 1530.65034
An iterative solver for the HPS discretization applied to three dimensional Helmholtz problems. (English) Zbl 1531.65265
Preconditioners based on matrix splitting for the structured systems from elliptic PDE-constrained optimization problems. (English) Zbl 07764784
Combining sparse approximate factorizations with mixed-precision iterative refinement. (English) Zbl 07908566
MSC:
65-XX
Error estimators and their analysis for CG, Bi-CG and GMRES. (Russian. English summary) Zbl 1527.65020
MSC:
65F10
Numerical considerations of block GMRES methods when applied to linear discrete ill-posed problems. (English) Zbl 1518.65038
MSC:
65F22
Interpretation of parareal as a two-level additive Schwarz in time preconditioner and its acceleration with GMRES. (English) Zbl 1523.65031
Sine transform based preconditioning techniques for space fractional diffusion equations. (English) Zbl 07729591
Randomized sketching for Krylov approximations of large-scale matrix functions. (English) Zbl 1520.65029
Reordering-based Schur complement preconditioners for a class of two-by-two block complex linear systems. (English) Zbl 07727126
Overlapping Schwarz methods with GenEO coarse spaces for indefinite and nonself-adjoint problems. (English) Zbl 07726053
MSC:
65Nxx
Deflated and restarted Krylov subspace methods for Sylvester tensor equations. (English) Zbl 1522.65050
A block triangular preconditioner for a class of three-by-three block saddle point problems. (English) Zbl 1515.65070
Mixed precision iterative refinement with sparse approximate inverse preconditioning. (English) Zbl 1516.65023
Computing the logarithmic capacity of compact sets having (infinitely) many components with the charge simulation method. (English) Zbl 07684719
An economic implementation of the optimal rotated block-diagonal preconditioning method. (English) Zbl 07676511
A Cartesian FMM-accelerated Galerkin boundary integral Poisson-Boltzmann solver. (English) Zbl 07660343
An SQP-based multiple shooting algorithm for large-scale PDE-constrained optimal control problems. (English) Zbl 07652818
A \(\tau \)-preconditioner for a non-symmetric linear system arising from multi-dimensional Riemann-Liouville fractional diffusion equation. (English) Zbl 1506.65054
Optimal size of the block in block GMRES on GPUs: computational model and experiments. (English) Zbl 1507.65072
A data completion algorithm using an integral representation of the Steklov-Poincaré operator. (English) Zbl 1504.65242
A novel ILU preconditioning method with a block structure suitable for SIMD vectorization. (English) Zbl 1502.65013
A simple augmented IIM for 3D incompressible two-phase Stokes flows with interfaces and singular forces. (English) Zbl 1516.76058
Kronecker product approximation for the total variation regularization in image restoration. (English) Zbl 1524.94007
Preconditioners for fractional diffusion equations based on the spectral symbol. (English) Zbl 07584149
Reviewer: Adhemar Bultheel (Leuven)
Parallel-in-time preconditioner for the sinc-Nyström systems. (English) Zbl 1497.65156
Reviewer: Kanakadurga Sivakumar (Chennai)
Comparative study of inner-outer Krylov solvers for linear systems in structured and high-order unstructured CFD problems. (English) Zbl 1521.65028
Linear and nonlinear substructured restricted additive Schwarz iterations and preconditioning. (English) Zbl 1494.65100
Reviewer: Marius Ghergu (Dublin)
Heavy ball flexible GMRES method for nonsymmetric linear systems. (English) Zbl 1513.65089
MSC:
65F10
A simpler GMRES algorithm accelerated by Chebyshev polynomials for computing PageRank. (English) Zbl 1489.65058
MSC:
65F15
GMRES methods for tomographic reconstruction with an unmatched back projector. (English) Zbl 1489.65060
Applying GMRES to the Helmholtz equation with strong trapping: how does the number of iterations depend on the frequency? (English) Zbl 1492.65090
Discrete cosine transform LSQR methods for multidimensional ill-posed problems. (English) Zbl 1499.65137
A preconditioner based on sine transform for space fractional diffusion equations. (English) Zbl 1497.65065
A computational study of preconditioning techniques for the stochastic diffusion equation with lognormal coefficient. (English) Zbl 1485.65028
A stabilized GMRES method for singular and severely ill-conditioned systems of linear equations. (English) Zbl 1492.65095
A fully structured preconditioner for a class of complex symmetric indefinite linear systems. (English) Zbl 1498.65044
Preconditioning techniques for the coupled Stokes-Darcy problem: spectral and field-of-values analysis. (English) Zbl 1493.65190
On general convergence behaviours of finite-dimensional approximants for abstract linear inverse problems. (English) Zbl 1509.65110
A new block-diagonal preconditioner for a class of \(3\times 3\) block saddle point problems. (English) Zbl 1481.65048
Some iterative approaches for Sylvester tensor equations. I: A tensor format of truncated loose simpler GMRES. (English) Zbl 1484.65079
Some iterative approaches for Sylvester tensor equations. II: A tensor format of simpler variant of GCRO-based methods. (English) Zbl 1484.65078
All-at-once solution of linear wave equations. (English) Zbl 07478618
Reviewer: Miroslav Tůma (Praha)
Convergence analysis of adaptive DIIS algorithms with application to electronic ground state calculations. (English) Zbl 1492.65008
Augmented and deflated CMRH method for solving nonsymmetric linear systems. (English) Zbl 1499.65120
MSC:
65F10
Stopping criteria based on a posteriori error estimations for iterative solvers of convection-diffusion equations. (English) Zbl 07451827
Interior eigensolver for sparse Hermitian definite matrices based on Zolotarev’s functions. (English) Zbl 07441019
Three-dimensional preconditioned FM-IBEM solution to broadband-frequency seismic wave scattering in a layered sedimentary basin. (English) Zbl 1521.74118
Preconditioning the Helmholtz equation with the shifted Laplacian and Faber polynomials. (English) Zbl 1475.65016
Splitting preconditioning based on sine transform for time-dependent Riesz space fractional diffusion equations. (English) Zbl 1475.65015
Block GPBi-CG method for solving nonsymmetric linear systems with multiple right-hand sides and its convergence analysis. (English) Zbl 1482.65055
MSC:
65F10
An alternating positive semidefinite splitting preconditioner for the three-by-three block saddle point problems. (English) Zbl 07424441
A new iterative method for solving a class of two-by-two block complex linear systems. (English) Zbl 07420288
Kaczmarz-type inner-iteration preconditioned flexible GMRES methods for consistent linear systems. (English) Zbl 1490.65049
On the asymptotic linear convergence speed of Anderson acceleration, Nesterov acceleration, and nonlinear GMRES. (English) Zbl 1490.65120
Corrigendum 2 to: “A geometric view of Krylov subspace methods on singular systems”. (English) Zbl 1488.65071
Fast parallel solver for the space-time IgA-DG discretization of the diffusion equation. (English) Zbl 1480.65247
Reviewer: Bülent Karasözen (Ankara)
An all-At-once preconditioner for evolutionary partial differential equations. (English) Zbl 07379636
A preconditioner based on sine transform for two-dimensional semi-linear Riesz space fractional diffusion equations in convex domains. (English) Zbl 1486.65106
Kaczmarz-type inner-iteration preconditioned flexible GMRES methods for consistent linear systems. (English) Zbl 1512.65045
Towards accuracy and scalability: combining isogeometric analysis with deflation to obtain scalable convergence for the Helmholtz equation. (English) Zbl 1506.65207
A simplified PSS preconditioner for non-Hermitian generalized saddle point problems. (English) Zbl 1466.76038
Low synchronization Gram-Schmidt and generalized minimal residual algorithms. (English) Zbl 1474.65103
Reviewer: Miroslav Rozloznik
Some investigations on convergence of GMRES in solving BEM equations for slender beam structures. (English) Zbl 1464.74326
Stability of linear GMRES convergence with respect to compact perturbations. (English) Zbl 1467.65025
MSC:
65F10
Exploiting lower precision arithmetic in solving symmetric positive definite linear systems and least squares problems. (English) Zbl 1467.65023
A new iterative method for solving the systems arisen from finite element discretization of a time-harmonic parabolic optimal control problems. (English) Zbl 1540.65356
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