1 citations · 2 across the 8 of their papers we have counts for
13 papers
Are sketch-and-precondition least squares solvers numerically stable?
Maike Meier, Yuji Nakatsukasa, Alex Townsend +1
Sketch-and-precondition techniques are efficient and popular for solving large least squares (LS) problems of the form with and . This i…
Sobolev-Orthogonal Systems with Tridiagonal Skew-Hermitian Differentiation Matrices
Arieh Iserles, Marcus Webb
We introduce and develop a theory of orthogonality with respect to Sobolev inner products on the real line for sequences of functions with a tridiagonal, skew-Hermitian differentia…
Solving the linear semiclassical Schrödinger equation on the real line
Arieh Iserles, Karolina Kropielnicka, Katharina Schratz +1
The numerical solution of a linear Schrödinger equation in the semiclassical regime is very well understood in a torus . A raft of modern computational methods are pr…
Approximation of wave packets on the real line
Arieh Iserles, Karen Luong, Marcus Webb
In this paper we compare three different orthogonal systems in which can be used in the construction of a spectral method for solving the semi-classicall…
A Differential Analogue of Favard's Theorem
Arieh Iserles, Marcus Webb
Favard's theorem characterizes bases of functions for which is a linear combination of , , and for all $n \…
The AZ algorithm for least squares systems with a known incomplete generalized inverse
Vincent Coppe, Daan Huybrechs, Roel Matthysen +1
We introduce an algorithm for the least squares solution of a rectangular linear system , in which may be arbitrarily ill-conditioned. We assume that a complementary matr…