The inversion of cyclic tridiagonal matrices
The Method of Coordinate Overrelaxation for (A Â? ... B) x = 0 .
The method of fictitious right-hand sides
The paper deals with the application of a fast algorithm for the solution of finite-difference systems for boundary-value problems on a standard domain (e.g. on a rectangle) to the solution of a boundary-value problem on a domain of general shape contained in the standard domain. A simple iterative procedure is suggested for the determination of fictitious right-hand sides for the system on the standard domain so that its solution is the desired one. Under the assumptions that are usual for matrices...
The minimum-norm least-squares solution of a linear system and symmetric rank-one updates.
The Neumann-Dirichlet Domain Decomposition Method with Inexact Solvers on the Subdomains.
The new iteration methods for solving absolute value equations
Many problems in operations research, management science, and engineering fields lead to the solution of absolute value equations. In this study, we propose two new iteration methods for solving absolute value equations , where is an -matrix or strictly diagonally dominant matrix, and is an unknown solution vector. Furthermore, we discuss the convergence of the proposed two methods under suitable assumptions. Numerical experiments are given to verify the feasibility, robustness and effectiveness...
The numerical solution of large finite element systems by explicit preconditioning semi-direct methods
The Numerically Stable Reconstruction of Jacobi Matrices from Spectral Data.
The Ordering of Tridiagonal Matrices in the Cyclic Reduction Method for Poisson's Equation.
The ordinary differential equation approach to asymptotically efficient schemes for solution of stochastic differential equations
The parametrized algorithm for Hamiltonian matrices.
The Perturbation Bounds for Eigenspaces of a Definite Matrix-Pair
The Rate of Convergence of an Approximate Matrix Factorization Semi-Direct Method.
The Rate of Convergence of Conjugate Gradients.
The rational canonical form of a matrix.
The RCWA method - A case study with open questions and perspectives of algebraic computations.
The recurrent calculation of the inversion of a special class of matrices
The robust pole assignment problem for second-order systems.
The SOR Method on Parallel Computers.
The Strict Chebyshev Solution of Overdetermined Systems of Linear Equations with Rank Deficient Matrix