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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…
A family of orthogonal rational functions and other orthogonal systems with a skew-Hermitian differentiation matrix
Arieh Iserles, Marcus Webb
In this paper we explore orthogonal systems in which give rise to a skew-Hermitian, tridiagonal differentiation matrix. Surprisingly, allowing the differ…
Fast Computation of Orthogonal Systems with a Skew-symmetric Differentiation Matrix
Arieh Iserles, Marcus Webb
Orthogonal systems in , once implemented in spectral methods, enjoy a number of important advantages if their differentiation matrix is skew-symmetric and…
Pointwise and uniform convergence of Fourier extensions
Marcus Webb, Vincent Coppé, Daan Huybrechs
Fourier series approximations of continuous but nonperiodic functions on an interval suffer the Gibbs phenomenon, which means there is a permanent oscillatory overshoot in the neig…