Keywords: روش فضای کریولف; Sparse linear algebraic equations; Aggregation based algebraic multigrid; Preconditioner; Krylov subspace method; Graph partitioning;
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Keywords: روش فضای کریولف; Burnup equation; Matrix exponential; Krylov Subspace Method; GMRES; Rational approximation;
Keywords: روش فضای کریولف; Time-space fractional diffusion equation; Finite difference method; Krylov subspace method; Preconditioning; Matrix splitting;
Keywords: روش فضای کریولف; Matrix exponential norm; Time integration method; Krylov subspace method; Truncated Taylor series method; Lanczos method; Alternating maximization;
Keywords: روش فضای کریولف; Complex linear systems; Preconditioner; Krylov subspace method; PSHNS method; Convergence;
Keywords: روش فضای کریولف; 65N30; 65N55; 74F10Fluid–structure interaction; Hyperelastic models; Stabilized finite element discretization; (adaptive) Newton’s method; Krylov subspace method; Algebraic multigrid method
Keywords: روش فضای کریولف; Inexact Newton; Jacobian free Newton Krylov; Krylov subspace method; Domain decomposition; Preconditioning; Iterative method; Parallel algorithm
On a type of matrix splitting preconditioners for a class of block two-by-two linear systems
Keywords: روش فضای کریولف; PMHSS preconditioner; Krylov subspace method; Two-by-two block matrix; Matrix splitting;
A note on preconditioner for the Ohta-Kawasaki equation
Keywords: روش فضای کریولف; Ohta-Kawasaki equation; Preconditioning; Krylov subspace method; Spectral analysis;
Block triangular preconditioners for stabilized saddle point problems with nonsymmetric (1,1)-block
Keywords: روش فضای کریولف; Saddle point system; Block triangular preconditioner; Stationary iterative method; Convergence; Krylov subspace method;
A Kronecker product splitting preconditioner for two-dimensional space-fractional diffusion equations
Keywords: روش فضای کریولف; Space fractional diffusion equation; Finite difference method; Krylov subspace method; Preconditioning; Matrix splitting;
A fast energy conserving finite element method for the nonlinear fractional Schrödinger equation with wave operator
Keywords: روش فضای کریولف; Nonlinear fractional Schrödinger equation; Finite element method; Krylov subspace method; Toeplitz matrix; Fast Fourier transform; Circulant preconditioner;
A relaxed generalized-PSS preconditioner for saddle-point linear systems from steady incompressible Navier-Stokes equations
Keywords: روش فضای کریولف; Generalized saddle-point problem; Krylov subspace method; Preconditioner; PSS; Navier-Stokes equations and Oseen problem;
A new relaxed PSS preconditioner for nonsymmetric saddle point problems
Keywords: روش فضای کریولف; Saddle point problem; Preconditioning; Krylov subspace method; Navier-Stokes equation; GMRES; 65F10; 65N22;
Fast ADI method for high dimensional fractional diffusion equations in conservative form with preconditioned strategy
Keywords: روش فضای کریولف; High dimensional two-sided fractional diffusion equation; Alternating direction implicit method; Approximate inverse preconditioner; Krylov subspace method; Superlinear convergence; Fast Fourier transform;
Inexact implementation using Krylov subspace methods for large scale exponential discriminant analysis with applications to high dimensionality reduction problems
Keywords: روش فضای کریولف; Dimensionality reduction; Linear discriminant analysis (LDA); Exponential discriminant analysis (EDA); Matrix exponential; Krylov subspace method;
FOM accelerated by an extrapolation method for solving PageRank problems
Keywords: روش فضای کریولف; 60J22; 65C40PageRank; FOM; Krylov subspace method; Extrapolation; Ritz value
Two block triangular preconditioners for asymmetric saddle point problems
Keywords: روش فضای کریولف; Block triangular preconditioner; Saddle point problems; Nullity; Augmentation; Krylov subspace method;
Circulant preconditioned iterations for fractional diffusion equations based on Hermitian and skew-Hermitian splittings
Keywords: روش فضای کریولف; Fractional diffusion equations; Shifted Grünwald discretization; Hermitian matrix; Skew-Hermitian matrix; Krylov subspace method; Circulant preconditioner
pyCTQW: A continuous-time quantum walk simulator on distributed memory computers
Keywords: روش فضای کریولف; Continuous-time quantum walk; Multiple walkers; Padé approximant; Krylov subspace method; Chebyshev matrix expansion
A hybridized iterative algorithm of the BiCORSTAB and GPBiCOR methods for solving non-Hermitian linear systems
Keywords: روش فضای کریولف; Non-Hermitian linear systems; Krylov subspace method; BiCORSTAB; GPBiCOR; GPBiCG; Residual polynomial
The SCBiCG class of algorithms for complex symmetric linear systems with applications in several electromagnetic model problems
Keywords: روش فضای کریولف; Conjugate gradient; BiCG method; Complex symmetric matrix; Krylov subspace method; Computational electromagnetics
A transpose-free quasi-minimal residual variant of the CORS method for solving non-Hermitian linear systems
Keywords: روش فضای کریولف; Krylov subspace method; TFQMR method; CORS method; Complex non-Hermitian linear systems;
Performance evaluation of block-diagonal preconditioners for the divergence-conforming B-spline discretization of the Stokes system
Keywords: روش فضای کریولف; Isogeometric analysis; Divergence-conforming B-spline spaces; Krylov subspace method; Block-diagonal preconditioner; Stokes problem;
Convergence of relaxation iterative methods for saddle point problem
Keywords: روش فضای کریولف; Saddle point problem; GSSOR method; USSOR method; MIAOR method; Krylov subspace method; Preconditioner
A three-dimensional domain decomposition method for large-scale DFT electronic structure calculations
Keywords: روش فضای کریولف; First principles calculations; Linear scaling method; Krylov subspace method; Domain decomposition; Modified recursive bisection; The moment of inertia tensor; FFT grid decomposition;
BiCR-type methods for families of shifted linear systems
Keywords: روش فضای کریولف; Shifted linear system; Time-dependent PDE; BiCR; Krylov subspace method; Non-Hermitian matrix
On generalized parameterized inexact Uzawa method for a block two-by-two linear system
Keywords: روش فضای کریولف; 65F10; 65F50; 65F08; 65F22; 65F35; Block two-by-two linear system; Generalized parameterized inexact Uzawa method; Preconditioning; Krylov subspace method; Convergence;
A hybrid variant of the BiCOR method for a nonsymmetric linear system with a complex spectrum
Keywords: روش فضای کریولف; Krylov subspace method; BiCOR method; A-orthonormalization procedure;
A new preconditioner for indefinite and asymmetric matrices
Keywords: روش فضای کریولف; Product preconditioner; Krylov subspace method; Systems of linear equations; Sparse matrix
Efficient and accurate depletion calculations via two-block decomposition of nuclide concentration vector
Keywords: روش فضای کریولف; Two-block decomposition; Importance; Depletion calculation; Bateman equation; ORIGEN; Krylov subspace method
Modified block preconditioners for the discretized time-harmonic Maxwell equations in mixed form
Keywords: روش فضای کریولف; 65F10; Maxwell equations; Saddle point systems; Preconditioner; Krylov subspace method;
A generalized product-type BiCOR method and its application in signal deconvolution
Keywords: روش فضای کریولف; Krylov subspace method; Product-type method; BiCOR; Signal deconvolution
Hybrid Bi-CG methods with a Bi-CG formulation closer to the IDR approach
Keywords: روش فضای کریولف; Linear systems; Krylov subspace method; Bi-CG; Hybrid Bi-CG method; Lanczos-type method; Induced Dimension Reduction (IDR) method
An acceleration technique for 2D MOC based on Krylov subspace and domain decomposition methods
Keywords: روش فضای کریولف; MOC; Neutron transport; Acceleration technique; Krylov subspace method; Domain decomposition method; Parallelization;
Triangular and skew-symmetric splitting method for numerical solutions of Markov chains
Keywords: روش فضای کریولف; Markov chain; Stationary probability vector; Iteration method; Krylov subspace method; Triangular and skew-symmetric splitting
Improvement of the recursive projection method for linear iterative scheme stabilization based on an approximate eigenvalue problem
Keywords: روش فضای کریولف; Recursive projection method; Eigenvalue problems; Krylov subspace method; Shape optimization
Comparison results of the preconditioned AOR methods for L-matrices
Keywords: روش فضای کریولف; Preconditioned AOR (PAOR) method; L-matrix; Preconditioner; Krylov subspace method;
A Relaxed Dimensional Factorization preconditioner for the incompressible Navier–Stokes equations
Keywords: روش فضای کریولف; Saddle point problem; Navier–Stokes equations; Oseen problem; Krylov subspace method; Dimensional Splitting; Dimensional Factorization
A fast, robust, and non-stiff Immersed Boundary Method
Keywords: روش فضای کریولف; Semi-implicit method; Navier–Stokes equations; Treecode; Krylov subspace method
Application of the incomplete Cholesky factorization preconditioned Krylov subspace method to the vector finite element method for 3-D electromagnetic scattering problems
Keywords: روش فضای کریولف; Electromagnetic scattering; Krylov subspace method; Complex symmetric matrix; Finite element method; Incomplete Cholesky factorization; Precondition
Spectral properties of primal-based penalty preconditioners for saddle point problems
Keywords: روش فضای کریولف; Saddle point problem; Block preconditioner; Eigenvalue; Krylov subspace method
BiCR variants of the hybrid BiCG methods for solving linear systems with nonsymmetric matrices
Keywords: روش فضای کریولف; Linear systems; Krylov subspace method; Hybrid bi-conjugate gradient method; Bi-conjugate residual method; Nonsymmetric matrices
A new difference scheme with high accuracy and absolute stability for solving convection–diffusion equations
Keywords: روش فضای کریولف; 65M06; 65M12Convection–diffusion equation; Difference scheme; High accuracy; Toeplitz matrix; Krylov subspace method
New block triangular preconditioner for linear systems arising from the discretized time-harmonic Maxwell equations
Keywords: روش فضای کریولف; Maxwell equations; Saddle point problem; Krylov subspace method; Block preconditioner
Positive stable preconditioners for symmetric indefinite linear systems arising from Helmholtz equations
Keywords: روش فضای کریولف; 65F10Electromagnetics; Helmholtz equation; Krylov subspace method; Preconditioner
An improved parallel hybrid bi-conjugate gradient method suitable for distributed parallel computing
Keywords: روش فضای کریولف; Sparse nonsymmetric linear system; IBiCGSTAB(2) method; Krylov subspace method; Distributed parallel environments; Global communication
Product-type skew-Hermitian triangular splitting iteration methods for strongly non-Hermitian positive definite linear systems
Keywords: روش فضای کریولف; Hermitian and skew-Hermitian splitting; Product-type skew-Hermitian triangular splitting; Splitting iteration method; Krylov subspace method; Convergence theory
A variant algorithm of the Orthomin(m) method for solving linear systems
Keywords: روش فضای کریولف; Linear systems; Krylov subspace method; Orthomin(m) method; Singular matrices
Numerical experiments of preconditioned Krylov subspace methods solving the dense non-symmetric systems arising from BEM
Keywords: روش فضای کریولف; Krylov subspace method; Preconditioner; Dense non-symmetric matrix; Boundary element method; Eigenvalue