5 citations · 12 across the 5 of their papers we have counts for
5 papers
Linearizations for interpolation bases -- a comparison I
A. Ashkar, Maria Isabel Bueno, R. Kassem +2
One strategy to solve a nonlinear eigenvalue problem is to solve a polynomial eigenvalue problem (PEP) that approximates the original problem through interpolat…
A note on eigenvector error bounds for polynomial eigenvalue problems
Javier Perez
The standard approach for finding eigenvalues and eigenvectors of matrix polynomials starts by embedding the coefficients of the polynomial into a matrix pencil, known as lineariza…
Block Kronecker Linearizations of Matrix Polynomials and their Backward Errors
Froilán M. Dopico, Piers W. Lawrence, Javier Pérez +1
We introduce a new family of strong linearizations of matrix polynomials---which we call "block Kronecker pencils"---and perform a backward stability analysis of complete polynomia…
Structured backward error analysis of linearized structured polynomial eigenvalue problems
Froilán M. Dopico, Javier Pérez, Paul Van Dooren
We introduce a new class of structured matrix polynomials, namely, the class of M_A-structured matrix polynomials, to provide a common framework for many classes of structured matr…
Symmetric and skew-symmetric block-Kronecker linearizations
Heike Faßbender, Javier Perez, Nikta Shayanfar
Many applications give rise to structured matrix polynomials. The problem of constructing structure-preserving strong linearizations of structured matrix polynomials is revisited i…