Algebraic matrix equations in systems theory
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.
BDF neboli věta o hlavních osách v nekonečné dimenzi
Berkowitz's algorithm and clow sequences.
Block diagonalization
We study block diagonalization of matrices induced by resolutions of the unit matrix into the sum of idempotent matrices. We show that the block diagonal matrices have disjoint spectra if and only if each idempotent matrix in the inducing resolution double commutes with the given matrix. Applications include a new characterization of an eigenprojection and of the Drazin inverse of a given matrix.
Canonical equiaffine hypersurfaces in R n + 1.
Canonical forms for doubly structured matrices and pencils.
Clasificación de matrices simétricas congruentes, definidas sobre un cuerpo finito.
Closures of Conjugacy Classes of Matrices are Normal.
Companion matrices and their relations to Toeplitz and Hankel matrices
In this paper we describe some properties of companion matrices and demonstrate some special patterns that arisewhen a Toeplitz or a Hankel matrix is multiplied by a related companion matrix.We present a necessary and sufficient condition, generalizing known results, for a matrix to be the transforming matrix for a similarity between a pair of companion matrices. A special case of our main result shows that a Toeplitz or a Hankel matrix can be extended using associated companion matrices, preserving...