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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...
A Viability Result in the Upper Semicontinuous Case
Viability Result Upper Semicontinuous Case $u'\in F(t,u)$
2009/1/23
We prove the existence of solutions of a differential inclusion $u'\in F(t,u)$ in a separable Banach space $X$ with constraint $u(t)\in D(t)$. $F$ is globally measurable, weakly upper semicontinuous w...
On a New Result on the Existence of Zeros due to Ricceri
Zeros dual space Ricceri arbitrary topological spaces
2009/1/22
The purpose of this short paper is to extend a recent result of Ricceri, on the existence of zeros of functions with values in a dual space, to the existence of solutions to inclusions with values in ...