On nonsingularity of a polytope of matrices
Given \(k\) real \(n\times n\) matrices \(A_1,\dots,A_k\), the authors study the nonsingularity and stability of the polytope \(\text{conv}\,\{A_1,\dots,A_k\}\) using the Bernstein algorithm of \textit{J. Garloff} [Interval Comput. 1993, No.~2, 154--168 (1993; Zbl 0829.65017)] and of \textit{M. Zettler} and \textit{J. Garloff} [IEEE Trans. Autom. Control 43, No.~3, 425--431 (1998; Zbl 0906.93046)].
scientific article; zbMATH DE number 5307057
scientific article