Optimizing the Kreiss Constant

The Kreiss Matrix Theorem on a

Optimizing dominant time constant in RC circuits

We propose to use the dominant time constant of a resistor-capacitor (RC) circuit as a measure of the signal propagation delay through the circuit. We show that the dominant time constant is a quasiconvex function of the conductances and capacitances, and use this property to cast several interesting design problems as convex optimization problems, speci cally, semide nite programs (SDPs). For ...

Kathleen Kreiss and David N . Weissman

2005;128;991-997 Chest Bledsoe, Kathleen Kreiss and David N. Weissman Muge Akpinar-Elci, Kimberly J. Stemple, Paul L. Enright, John V. Fahy, Toni A. Induced Sputum Evaluation in Microwave Popcorn Production Workers This information is current as of August 24, 2006 http://www.chestjournal.org/cgi/content/full/128/2/991 located on the World Wide Web at: The online version of this article, along w...

From the Buffon Needle Problem to the Kreiss Matrix Theorem

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The Kreiss Matrix Theorem on a General Complex Domain

Let A be a bounded linear operator in a Hilbert space H with spectrum Λ(A). The Kreiss matrix theorem gives bounds based on the resolvent norm ‖(zI−A)−1‖ for ‖An‖ if Λ(A) is in the unit disk or for ‖etA‖ if Λ(A) is in the left half-plane. We generalize these results to a complex domain Ω, giving bounds for ‖Fn(A)‖ if Λ(A) ⊂ Ω, where Fn denotes the nth Faber polynomial associated with Ω. One of ...