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A regularity result for the singular values of a transfer matrix and a quadratically convergent algorithm for computing its L_infinity-norm
Matrix and singular value differentiable function frequency singular value lipschitz second derivative
2015/8/12
The ith singular value of a transfer matrix need not be a differentiable function of frequency where its multiplicity is greater than one. We show that near a local maximum, however, the largest singu...
Computing (or not) Quasi-Periodicity Functions of Tilings
Computing (or not) Quasi-Periodicity Functions Tilings
2011/3/2
We know that tilesets that can tile the plane always admit a quasiperiodic tiling [4, 8], yet they hold many uncomputable properties [3, 11, 21, 25].The quasi-periodicity function is one way to measur...
Computing (or not) Quasi-Periodicity Functions of Tilings
Computing Quasi-Periodicity Functions of Tilings
2010/12/28
We know that tilesets that can tile the plane always admit a quasiperiodic tiling [4, 8], yet they hold many uncomputable properties [3, 11, 21, 25].The quasi-periodicity function is one way to measur...
Computing the $\sin_{p}$ function via the inverse power method
Computing the $\sin_{p}$ function the inverse power method
2010/11/22
In this paper, we discuss a new iterative method for computing $\sin_{p}$. This function was introduced by Lindqvist in connection with the unidimensional nonlinear Dirichlet eigenvalue problem for t...
Computing special values of partial zeta functions
Computing special values partial zeta functions
2010/10/29
We discuss computation of the special values of partial zeta functions associated to totally real number fields. The main tool is the \emph{Eisenstein cocycle} $\Psi $, a group cocycle for $GL_{n} (\Z...