On some extensions of the accelerated overrelaxation (AOR) theory.
On some Modifications of the Nekrassov Method for Numerical Solution of Linear Systems of Equations
A modification of the Nekrassov method for finding a solution of a linear system of algebraic equations is given and a numerical example is shown.* This paper is partly supported by project IS–M–4 of Department for Scientific Research, Paisii Hilendarski University of Plovdiv.
On Some new Inclusion Theorems for the Eigenvalues of Partitioned Matrices.
On spectral variations under bounded real matrix perturbations.
On the Analysis of the Unsymmetric Successive Overrelaxation Method when Applied to p-Cyclic Matrices.
On the approximation numbers of large Toeplitz matrices.
On the Approximative Construction of the Eigenvectors Corresponding to a Pair of Complex Conjugated Eigenvalues
On the Augmented System Approach to Sparse Least-Squares Problems.
On the belonging of a perturbed vector to a subspace from a numerical view point.
On the Characterization of Least Upper Bound Norms in Matrix Space.
On the choice of iteration parameters in the Stone incomplete factorization
The paper is concerned with the iterative solution of sparse linear algebraic systems by the Stone incomplete factorization. For the sake of clarity, the algorithm of the Stone incomplete factorization is described and, moreover, some properties of the method are derived in the paper. The conclusion is devoted to a series of numerical experiments focused on the choice of iteration parameters in the Stone method. The model problem considered showe that we can, in general, choose appropriate values...
On the choice of subspace for iterative methods for linear discrete ill-posed problems
Many iterative methods for the solution of linear discrete ill-posed problems with a large matrix require the computed approximate solutions to be orthogonal to the null space of the matrix. We show that when the desired solution is not smooth, it may be possible to determine meaningful approximate solutions with less computational work by not imposing this orthogonality condition.
On the Computation of Inclusion Regions for Partitioned Matrices.
On the computation of the null space of Toeplitz-like matrices.
On the computer algebra implementation of the least squares method on the nonnegative orthant.
On the Condition Number of some Gram Matrices Arising from Least Squares Approximation in the Complex Plane.
On the convergence of a modified block SOR algorithm.
On the convergence of a multicomponent alternating direction difference scheme.
On the convergence of a new Rayleigh quotient method with applications to large eigenproblems.
On the Convergence of Multi-Grid Methods for a Hypersingular Integral Equation of the First Kind.