Piers W. Lawrence

most citedBlock Kronecker Linearizations of Matrix Polynomials and their Backward Errors

5 citations · 8 across the 2 of their papers we have counts for

collaborators

2 papers

math.DS2021★ 3 cited

A Fractal Eigenvector

Neil J. Calkin, Eunice Y. S. Chan, Robert M. Corless +2

The recursively-constructed family of Mandelbrot matrices $M_{n}$ for $n = 1$ , $2$ , $\dots$ have nonnegative entries (indeed just $0$ and $1$ , so each $M_{n}$ can be called a binary mat…

math.NA2017★ 5 cited

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…