Butcher and Chartier in first introduced a doubly companion matrix, after that Butcher and Wright used doubly companion matrices as a tool to analyze numerical methods and some general linear methods property. Explicit formula for a determinant and an inverse formula of the doubly companion matrix were proved
AbstractWe give a common, concise derivation of some important determinantal identities attributed t...
A discussion of when matrix addition, subtraction and multiplication are defined, and when it is pos...
Matrix and operator inversion has always presented a problem both in algebra and in analysis. We kno...
AbstractPresented in this paper are some new properties of a function f(C) of a companion matrix C, ...
A set of adjoints for a matrix is defined. Basic concepts in linear algebra and matrix analysis, suc...
With the invention of matrices came, of course, the solution of a system of the equations by the met...
The calculation of a square matrix determinant is a typical matrix algebra operation which, if appli...
A little known property of determinants is developed in a manner accessible to beginning undergradua...
The Sylvester-Kac matrix is also known as the Clement matrix The Sylvester-Kac matrix is widely used...
Outlines the general formula for finding the determinant of a 2x2, then goes through one simple exam...
This paper collects together a number of matrix derivative results which are very useful in forward ...
In this note we present some useful tools concerning the determinant and the inverse of the sum of t...
AbstractThis paper describes an explicit combinatorial formula for the product of companion matrices...
on the occasion of his ninetieth birthday. Submitted by George P. Barker We give a common, concise d...
Matrices are important mathematical tools that facilitate the process of organizing and manipulating...
AbstractWe give a common, concise derivation of some important determinantal identities attributed t...
A discussion of when matrix addition, subtraction and multiplication are defined, and when it is pos...
Matrix and operator inversion has always presented a problem both in algebra and in analysis. We kno...
AbstractPresented in this paper are some new properties of a function f(C) of a companion matrix C, ...
A set of adjoints for a matrix is defined. Basic concepts in linear algebra and matrix analysis, suc...
With the invention of matrices came, of course, the solution of a system of the equations by the met...
The calculation of a square matrix determinant is a typical matrix algebra operation which, if appli...
A little known property of determinants is developed in a manner accessible to beginning undergradua...
The Sylvester-Kac matrix is also known as the Clement matrix The Sylvester-Kac matrix is widely used...
Outlines the general formula for finding the determinant of a 2x2, then goes through one simple exam...
This paper collects together a number of matrix derivative results which are very useful in forward ...
In this note we present some useful tools concerning the determinant and the inverse of the sum of t...
AbstractThis paper describes an explicit combinatorial formula for the product of companion matrices...
on the occasion of his ninetieth birthday. Submitted by George P. Barker We give a common, concise d...
Matrices are important mathematical tools that facilitate the process of organizing and manipulating...
AbstractWe give a common, concise derivation of some important determinantal identities attributed t...
A discussion of when matrix addition, subtraction and multiplication are defined, and when it is pos...
Matrix and operator inversion has always presented a problem both in algebra and in analysis. We kno...