1 citations · 1 across the 2 of their papers we have counts for
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T-systems: a theory of orthonormal functions with a tridiagonal differentiation matrix
Arieh Iserles, Marcus Webb
The starting point of this paper is that a spectral method is essentially a combination of an orthonormal basis of the underlying Hilbert space with Galerkin conditions. The choice…
A Riemannian Gradient Descent Method for the Least Squares Inverse Eigenvalue Problem
Alban Bloor Riley, Marcus Webb, Michael L. Baker
We address an algorithm for the least squares fitting of a subset of the eigenvalues of an unknown Hermitian matrix lying an an affine subspace, called the Lift and Projection (LP)…
Computing accurate eigenvalues using a mixed-precision Jacobi algorithm
Nicholas J. Higham, Françoise Tisseur, Marcus Webb +1
We provide a rounding error analysis of a mixed-precision preconditioned Jacobi algorithm, which uses low precision to compute the preconditioner, applies it at high precision (amo…
Deflation Techniques for Finding Multiple Local Minima of a Nonlinear Least Squares Problem
Alban Bloor Riley, Marcus Webb, Michael L Baker
In this paper we generalize the technique of deflation to define two new methods to systematically find many local minima of a nonlinear least squares problem. The methods are base…