Nested Bounds for the Spectral Radius.
Nonmonotone strategy for minimization of quadratics with simple constraints
An algorithm for quadratic minimization with simple bounds is introduced, combining, as many well-known methods do, active set strategies and projection steps. The novelty is that here the criterion for acceptance of a projected trial point is weaker than the usual ones, which are based on monotone decrease of the objective function. It is proved that convergence follows as in the monotone case. Numerical experiments with bound-constrained quadratic problems from CUTE collection show that the modified...
Note on inverse iteration and III-conditioned eigensystems
Note on Matrices with a Very Ill-Conditioned Eigenproblem.
Note on the Computation of the Maximal Eigenvalue of a Non-Negative Irreducible Matrix.
Numerical application of the mathematical spectra to the problem of eigenvalues of matrices
Numerical computation of an analytic singular value decomposition of a matrix valued function.
Numerical determination of a canonical form of a symplectic matrix.
Numerical methods for the computation of analytic singular value decompositions.
Numerical Procedure for Solving a Minimization Eigenvalue Problem.
Numerical Solution of Eigentuple-Eigen vector Problems in Hilbert Spaces by a Gradient Method.