Algorithm 60. Determination of the Jordan canonical form of real matrix
Algorithms 62-64. Graph-theoretic algorithms for sparse matrix transformations
Almost triangular matrices over Dedekind domains.
An additive inverse characteristic polynomial theorem
An analytical approach to Cayley-Hamilton theorem
Cayley-Hamilton theorem is proved by an analytical approach by recalling certain interesting properties of density. In this process, the classical expressions of the principal invariants follow immediately from the proposed proof's scheme.
An Application of -K-Theory to the Global Analysis of Matrix Valued Functions.
An application of matrix calculus to an engineering problem.
An equivalent matrix pencilfor bivariate polynomial matrices
In this paper, we present a simple algorithm for the reduction of a given bivariate polynomial matrix to a pencil form which is encountered in Fornasini-Marchesini's type of singular systems. It is shown that the resulting matrix pencil is related to the original polynomial matrix by the transformation of zero coprime equivalence. The exact form of both the matrix pencil and the transformation connecting it to the original matrix are established.
Antiprojectors with applications in the spectral theory
Arithmetical graphs.
Axioms for invariant factors.