Now showing items 1-2 of 2

    • Detecting and solving hyperbolic quadratic eigenvalue problems 

      Guo, Chun-Hua; 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, Chun-Hua; Higham, Nicholas J.; Tisseur, Francoise (SIAM, 2009)
      A 25-year 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 + ...