Estimates for the condition number of a matrix are useful in many areas of scientific computing, including: recursive least squares computations, optimization, eigenanalysis, and general nonlinearâ€¦ (More)

In this paper we present some theory for a non-equivalence transformation of matrix eigenvalues for -matrix polynomials. Application of this transformation to eigenvalue embedding for model tuning onâ€¦ (More)

In this paper we consider a matrix-free path following algorithm for n nlinear parameter-dependent compact fixed point problems. We show that if these problems are discretized so that certainâ€¦ (More)

This paper presents a preliminary experimental study of the performance of basic sparse matrix computations on the CM-200 and the CM-5. We concentrate on examining various ways of performing generalâ€¦ (More)

K e y w o r d s G y r o s c o p i c system, Lanczos algorithm, Hamiltonian matrix, Quadratic eigenvalue problem, Generalized eigenvalue problem. 1. I N T R O D U C T I O N The motion arising in theâ€¦ (More)