Fernando De Ter'an

collaborators

4 papers

math.SP2026

Generic real Jordan canonical forms

Fernando De TerÃ¡n, FroilÃ¡n M. Dopico

We obtain the generic real Jordan canonical forms for $n \times n$ matrices with real entries. More precisely, we prove that the set of $n \times n$ real matrices is the union of the…

math.SP2025

The generic canonical form for $^{⋆}$ congruence of matrices

Fernando De TerÃ¡n, FroilÃ¡n M. Dopico

First, we prove that the set of $n \times n$ complex matrices is the closure of a certain open subset whose elements have a very specific canonical form under congruence, which is u…

math.SP2025

Real-congruence canonical forms of real matrices

Fernando De TerÃ¡n, FroilÃ¡n M. Dopico

We present two new canonical forms for real congruence of a real square matrix $A$ . The first one is a direct sum of canonical matrices of four different types and is obtained from…

math.RA2025

Uniqueness of solution of systems of generalized Sylvester and conjugate-Sylvester equations

Fernando De TerÃ¡n, Bruno Iannazzo

We provide a characterization for a periodic system of generalized Sylvester and conjugate-Sylvester equations, with at most one generalized conjugate-Sylvester equation, to have a…

Generic real Jordan canonical forms

The generic canonical form for ⋆congruence of matrices

Real-congruence canonical forms of real matrices

Uniqueness of solution of systems of generalized Sylvester and conjugate-Sylvester equations

The generic canonical form for $^{⋆}$ congruence of matrices