A Sufficient Condition on the Existence of Maximal and Minimal Solvents of the Quadratic Matrix Equation

Yangfeng Su, Kai‐Jun Zhang · Fudan xuebao. Ziran Kexue ban · 2004

A sufficient condition on the existence of the maximal and minimal solvents of the quadratic matrix equation: Q(X)=AX~2+BX+C=0 is given in this paper. The properties of the λ-matrix polynormal Q(λ) are also discussed.

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