Now showing items 1-4 of 4

• #### A Douglas-Shapiro-Shields factorization approach to the Leech equation ﻿

(MTNS, 2014)
In a recent series of papers concrete procedures were derived to compute a stable rational matrix solution to the Leech equation with rational matrix data. In one of these papers the procedure involved a specific ...
• #### State space formulae for stable rational matrix solutions of a Leech problem ﻿

(Elsevier, 2014)
Given stable rational matrix functions G and K, a procedure is presented to compute a stable rational matrix solution X to the Leech problem associated with G and K, that is, G(z)X(z) = K(z) and sup|z|≤1 ∥X(z)∥ ≤ 1. The ...
• #### State space formulas for a suboptimal rational Leech problem I: maximum entropy solution ﻿

(Springer Verlag, 2014)
For the strictly positive case (the suboptimal case) the maximum entropy solution X to the Leech problem G(z)X(z) = K(z) and $${\|X\|_\infty={\rm sup}_{|z| \leq 1}\| X(z )\| \leq 1}$$, with G and K stable rational matrix ...
• #### The twofold Ellis-Gohberg inverse problem for rational matrix functions on the real line ﻿

(Springer, 2020)
From the mid-1980s R.L. Ellis, I. Gohberg and D.C. Lay wrote several papers on systems of orthogonal matrix polynomials and matrix functions, culminating in the monograph [3] by Ellis and Gohberg, where additional background ...

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