A canonical form for matrices under consimilarity

Crossing Matrices and Thurston's Canonical Form for Braids

Ela Change of the *congruence Canonical Form of 2-by-2 Matrices under Perturbations

It is constructed the Hasse diagram for the closure ordering on the sets of *congruence classes of 2× 2 matrices. In other words, it is constructed the directed graph whose vertices are 2× 2 canonical complex matrices for *congruence and there is a directed path from A to B if and only if A can be transformed by an arbitrarily small perturbation to a matrix that is *congruent to B.

SOCP Reformulation for the Generalized Trust Region Subproblem via a Canonical Form of Two Symmetric Matrices

We investigate in this paper the generalized trust region subproblem (GTRS) of minimizing a general quadratic objective function subject to a general quadratic inequality constraint. By applying a simultaneous block diagonalization approach, we obtain a congruent canonical form for the symmetric matrices in both the objective and constraint functions. By exploiting the block separability of the...

A Canonical Form for Circuit Diagrams

A canonical form for circuit diagrams with a designated start state is presented. The form is based upon nite automata minimization and Shannon's canonical form for boolean expressions.

Properties of Central Symmetric X-Form Matrices

In this paper we introduce a special form of symmetric matrices that is called central symmetric $X$-form matrix and study some properties, the inverse eigenvalue problem and inverse singular value problem for these matrices.