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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
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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
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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
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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
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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
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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...