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math.NA2017
Structured eigenvalue/eigenvector backward errors of matrix pencils arising in optimal control
Christian Mehl, Volker Mehrmann, Punit Sharma
Eigenvalue and eigenpair backward errors are computed for matrix pencils arising in optimal control. In particular, formulas for backward errors are developed that are obtained und…
math.NA2017★ 21 cited
Computing nearest stable matrix pairs
Nicolas Gillis, Volker Mehrmann, Punit Sharma
In this paper, we study the nearest stable matrix pair problem: given a square matrix pair , minimize the Frobenius norm of such that is a stable…