On the Convergence of Powers of Interval Matrices (2).
On the Convergence of the Classical Jacobi Method for Real Symmetric Matrices with Non-Distinct Eigenvalues.
On the Convergence of the Conjugate Gradient Method for Singular Capacitance Matrix Equations from the Neumann Problem of the Poisson Equation.
On the Convergence of the Symmetric SOR Method for Matrices with Red-Black Ordering.
On the convergence rate of the conjugate gradients in presence of rounding errors.
On the convergence theory of double -weak splittings of type II
Recently, Wang (2017) has introduced the -nonnegative double splitting using the notion of matrices that leave a cone invariant and studied its convergence theory by generalizing the corresponding results for the nonnegative double splitting by Song and Song (2011). However, the convergence theory for -weak regular and -nonnegative double splittings of type II is not yet studied. In this article, we first introduce this class of splittings and then discuss the convergence theory for these sub-classes...
On the correctness of some bisection-like parallel eigenvalue algorithms in floating point arithmetic.
On the Direct Solution of Preconditioned Linear Equations
On the Distribution of Errors in the Iterative Solution of a System of Linear Equations. II..
On the Distribution of Errors in the Iterative Solution of a System of Linear Equations.
On the economical solution method for a system of linear algebraic equations.
On the Effective Computation of the Inertia of a Non-Hermitian Matrix.
On the efficient update of rectangular LU-factorizations subject to low rank modifications.
On the Eigenproblem for Normal Matrices.
On the Eigenvalue Distribution of a Class of Preconditioning Methods.
On the equivalence of primal and dual substructuring preconditioners.
On the Fast Matrix Multiplication in the Boundary Element Method by Panel Clustering.
On the fast reduction of symmetric rationally generated Toeplitz matrices to tridiagonal form.
On the generalized Riccati matrix differential equation. Exact, approximate solutions and error estimate
In this paper explicit expressions for solutions of Cauchy problems and two-point boundary value problems concerned with the generalized Riccati matrix differential equation are given. These explicit expressions are computable in terms of the data and solutions of certain algebraic Riccati equations related to the problem. The interplay between the algebraic and the differential problems is used in order to obtain approximate solutions of the differential problem in terms of those of the algebraic...
On the global and cubic convergence of a quasi-cyclic Jacobi method.