Conference paper
Neave effect also occurs with Tausworthe sequences
Shu Tezuka
WSC 1991
Inverse iteration is widely used to compute the eigenvectors of a matrix once accurate eigenvalues are known. We discuss various issues involved in any implementation of inverse iteration for real, symmetric matrices. Current implementations resort to reorthogonalization when eigenvalues agree to more than three digits relative to the norm. Such reorthogonalization can have unexpected consequences. Indeed, as we show in this paper, the implementations in EISPACK and LAPACK may fail. We illustrate with both theoretical and empirical failures.
Shu Tezuka
WSC 1991
Peter Wendt
Electronic Imaging: Advanced Devices and Systems 1990
Leo Liberti, James Ostrowski
Journal of Global Optimization
John S. Lew
Mathematical Biosciences