AbstractThis paper presents a simple method of inversion of a matrix of rational functions suitable for application on a digital computer. The derivation of the procedure demonstrates how redundant common factors are suppressed in order that the inverse will be obtained in its simplest form
AbstractIn this paper, the existence of a relationship between the degrees of polynomials in any giv...
A symbolic iterative algorithm, based on Hensel's lemma and the Newton-Schultz method, is described ...
AbstractMatrices consisting of two parts one of Vandermonde and the other of Löwner type are conside...
The solution to a set of simultaneous equations is of the form A-1 B = X where A-1 is the inverse of...
summary:In present paper a method of computing the inverse of a matrix is proposed by means of compu...
summary:In this paper a combination of methods for inverting Leontieff's matrices is described. The ...
AbstractIn this paper, we give a fast algorithm to compute the parameters of an inversion formula fo...
With the invention of matrices came, of course, the solution of a system of the equations by the met...
AbstractThe inverse of the matrix A(τ, q) = (aij(τ, q)), aij(τ, q) = (τ+aji), i, j = 0,1,…., n− 1, i...
An essentially new method for the inversion of n x n matrices, closely related to the method of comp...
summary:Numerical operations on and among rational matrices are traditionally handled by direct mani...
In this paper we introduce a family of rational approximations of the inverse of a φ function invol...
AbstractGiven rational matrix functions ψ1(λ) = Im + C1(λIn1 − A1)−1B1 and ψ2(λ) = Im + C2(λIn2 − A2...
Abstract-Square-root (in particular, Cholesky) factorization of Toeplitz matrices and of their inver...
Computation of determinants of rational functions seems to be out of thought in computer algebra so ...
AbstractIn this paper, the existence of a relationship between the degrees of polynomials in any giv...
A symbolic iterative algorithm, based on Hensel's lemma and the Newton-Schultz method, is described ...
AbstractMatrices consisting of two parts one of Vandermonde and the other of Löwner type are conside...
The solution to a set of simultaneous equations is of the form A-1 B = X where A-1 is the inverse of...
summary:In present paper a method of computing the inverse of a matrix is proposed by means of compu...
summary:In this paper a combination of methods for inverting Leontieff's matrices is described. The ...
AbstractIn this paper, we give a fast algorithm to compute the parameters of an inversion formula fo...
With the invention of matrices came, of course, the solution of a system of the equations by the met...
AbstractThe inverse of the matrix A(τ, q) = (aij(τ, q)), aij(τ, q) = (τ+aji), i, j = 0,1,…., n− 1, i...
An essentially new method for the inversion of n x n matrices, closely related to the method of comp...
summary:Numerical operations on and among rational matrices are traditionally handled by direct mani...
In this paper we introduce a family of rational approximations of the inverse of a φ function invol...
AbstractGiven rational matrix functions ψ1(λ) = Im + C1(λIn1 − A1)−1B1 and ψ2(λ) = Im + C2(λIn2 − A2...
Abstract-Square-root (in particular, Cholesky) factorization of Toeplitz matrices and of their inver...
Computation of determinants of rational functions seems to be out of thought in computer algebra so ...
AbstractIn this paper, the existence of a relationship between the degrees of polynomials in any giv...
A symbolic iterative algorithm, based on Hensel's lemma and the Newton-Schultz method, is described ...
AbstractMatrices consisting of two parts one of Vandermonde and the other of Löwner type are conside...