22 citations · 31 across the 4 of their papers we have counts for
4 papers
Monomial codes under linear algebra point of view
El Mahdi Mouloua, Mustapha Najmeddine, Maria Isabel Garcia-Planas +1
The monomial codes over a Galois field F_q that can be thought invariant subspaces are essential to us in this study. More specifically, we look into the link between monomial code…
Generic families of matrix pencils and their bifurcation diagrams
M. Isabel Garcia-Planas, Vladimir V. Sergeichuk
V. I. Arnold [Russian Math. Surveys 26, no. 2, 1971, 29-43] constructed smooth generic families of matrices with respect to similarity transformations depending smoothly on the ent…
Simplest miniversal deformations of matrices, matrix pencils, and contragredient matrix pencils
M. Isabel Garcia-Planas, Vladimir V. Sergeichuk
V. I. Arnold [Russian Math. Surveys 26 (2) (1971) 29-43] constructed a simple normal form for a family of complex n-by-n matrices that smoothly depend on parameters with respect to…
Rigid systems of second-order linear differential equations
M. Isabel Garcia-Planas, M. Dolors Magret, Vladimir V. Sergeichuk +1
We say that a system of differential equations d^2x(t)/dt^2=Adx(t)/dt+Bx(t)+Cu(t), in which A and B are m-by-m complex matrices and C is an m-by-n complex matrix, is rigid if it ca…