Large-Scale ${L} ^{0}$ -Norm and ${L} ^{1}$ -Norm 2-D Phase Unwrapping

Multivariate L 1 - Norm Estimation and the Vulnerable Bootstrap

L∞-Norm Computation for Large-Scale Descriptor Systems Using Structured Iterative Eigensolvers

In this report, we implement a method for computing L∞-norms for descriptor systems using structured iterative eigensolvers. In particular, the algorithm computes some desired imaginary eigenvalues of an even matrix pencil and uses them to determine an upper and lower bound to the L∞-norm. We finally compare our method to a previously developed algorithm using structured pseudospectra. Numerica...

On the Computation of the Induced L 2 Norm ofSingle

In this paper, a means of determining an upper bound of the induced L 2 norm for a class of single input linear systems with saturation is given in terms of the existence of a candidate function which satisses three diierential inequalities. This amounts to a generalisation of nding the solution of a single algebraic Riccati equation in the linear problem. A technique to calculate such a functi...

On the L 2 -norm of periodizations of functions

We prove that the L2([0, 1]d × SO(d))-norm of periodizations of a function from L1(Rd) is equivalent to the L2(Rd)-norm of the function itself in higher dimensions. We generalize the statement for functions from Lp(Rd) where 1 ≤ p < 2d d+2 in the spirit of the Stein-Tomas theorem. 0. Introduction. Let f be a function from L(R). Define a family of its periodizations with respect to a rotated int...

On the L ∞ - norm of the L 2 - spline projector Budapest , July 2 , 2013