Generalisation of the Perron–Frobenius theory to matrix pencils
نویسندگان
چکیده
منابع مشابه
Generalisation of the Perron-frobenius Theory to Matrix Pencils
We present a new extension of the well-known Perron-Frobenius theorem to regular matrix pairs (E, A). The new extension is based on projector chains and is motivated from the solution of positive differential-algebraic systems or descriptor systems. We present several examples where the new condition holds, whereas conditions in previous literature are not satisfied.
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2008
ISSN: 0024-3795
DOI: 10.1016/j.laa.2007.07.004