Browsing Mathematics & Statistics Faculty by Author "Tisseur, Francoise"
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Detecting and solving hyperbolic quadratic eigenvalue problems
Guo, ChunHua; Higham, Nicholas J.; Tisseur, Francoise (SIAM, 2009)Hyperbolic quadratic matrix polynomials $Q(\lambda) = \lambda^2 A + \lambda B + C$ are an important class of Hermitian matrix polynomials with real eigenvalues, among which the overdamped quadratics are those with ... 
An Improved Arc Algorithm for Detecting Definite Hermitian Pairs
Guo, ChunHua; Higham, Nicholas J.; Tisseur, Francoise (SIAM, 2009)A 25year old and somewhat neglected algorithm of Crawford and Moon attempts to determine whether a given Hermitian matrix pair $(A,B)$ is definite by exploring the range of the function $f(x) = x^*(A + iB)x/x^*(A + ...