A basic norm equivalence for the theory of multilevel methods.
A Bi-CG type iterative method for Drazin-inverse solution of singular inconsistent nonsymmetric linear systems of arbitrary index.
A block Arnoldi-Chebyshev method for computing the leading eigenpairs of large sparse unsymmetric matrices.
A block Rayleigh quotient iteration with local quadratic convergence.
A block version of BiCGSTAB for linear systems with multiple right-hand sides.
A bound for the Moore-Penrose pseudoinverse of a matrix
A Bound for thé Optimum Relaxation Factor for the Successive Overrelaxation Method.
A breakdown-free Lanczos type algorithm for solving linear systems.
A Capacitance Matrix Method for Dirichlet Problem on Polygon Region.
A case where balancing is harmful.
A center of a polytope: An expository review and a parallel implementation.
A Chebyshev-like semiiteration for inconsistent linear systems.
A Class of Direct Methods for Linear Systems.
A Class of Iterative Methods for Solving Saddle Point Problems.
A Class of Norms of Iterative Methods for Solving Systems of Linear Equations.
A comparison of coupled and uncoupled solvers for the cardiac Bidomain model
The aim of this work is to compare a new uncoupled solver for the cardiac Bidomain model with a usual coupled solver. The Bidomain model describes the bioelectric activity of the cardiac tissue and consists of a system of a non-linear parabolic reaction-diffusion partial differential equation (PDE) and an elliptic linear PDE. This system models at macroscopic level the evolution of the transmembrane and extracellular electric potentials of the anisotropic cardiac tissue. The evolution equation is...
A Comparison of Some Bounds for the Nontrivial Eigenvalues of Stochastic Matrices.
A comparison of the accuracy of the finite-difference solution to boundary value problems for the Helmholtz equation obtained by direct and iterative methods
The development of iterative methods for solving linear algebraic equations has brought the question of when the employment of these methods is more advantageous than the use of the direct ones. In the paper, a comparison of the direct and iterative methods is attempted. The methods are applied to solving a certain class of boundary-value problems for elliptic partial differential equations which are used for the numerical modeling of electromagnetic fields in geophysics. The numerical experiments...
A comparison of three algorithms for reducing the profile of a sparse matrix
A Computational Method for Eigenvalues and Eigenvectors of a Matrix with Real Eigenvalues.