On a Class of Jacobi-Like Procedures for Diagonalising Arbitrary Real Matrices.
On a New Class of Elementary Matrices.
On an algorithm for testing T4 solvability of max-plus interval systems
In this paper, we shall deal with the solvability of interval systems of linear equations in max-plus algebra. Max-plus algebra is an algebraic structure in which classical addition and multiplication are replaced by and , where , . The notation represents an interval system of linear equations, where and are given interval matrix and interval vector, respectively. We can define several types of solvability of interval systems. In this paper, we define the T4 solvability and give an algorithm...
On generalized methods of the transfer of conditions
The methods of the transfer of conditions are generalized so that they also cover the direct methods leading to the diagonalization of the original matrix of a system with a band matrix. Part 3 is devoted to the numerical stability of methods of the transfer of conditions described in author's previous paper. Finally, it is shown how to obtain a particular method by the choice parameters of the general algorithm.
On reducing bandwidth of matrices in the Go-Away algorithm for regular grids.
On solving linear algebraic equations with an ill-conditioned matrix
On the belonging of a perturbed vector to a subspace from a numerical view point.
On the Convergence of Powers of Interval Matrices (2).
On the efficient update of rectangular LU-factorizations subject to low rank modifications.
On the Fast Matrix Multiplication in the Boundary Element Method by Panel Clustering.
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 parametric solution to the second-order Sylvester matrix equation .
On the reduction of a Hamiltonian matrix to Hamiltonian Schur form.
On the solution of multiparameter problems of algebra. IV: The algorithm and its applications.
On the solution of multiparameter problems of algebra. V: The - factorization algorithm and its applications.
Optimally rotated vectors.