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Spectral properties of a sequence of matrices connected to each other via Schur complement and arising in a compartmental model

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Haskell E. C., Paksoy V. E.

Special Matrices

2017

tom 5

nr 1

242-249

We consider a sequence of real matrices An which is characterized by the rule that An−1 is the Schur complement in An of the (1,1) entry of An, namely −en, where en is a positive real number. This sequence is closely related to linear compartmental ordinary differential equations. We study the spectrum of An. In particular,we show that An has a unique positive eigenvalue λn and {λn} is a decreasing convergent sequence. We also study the stability of An for small n using the Routh-Hurwitz criterion.

Ograniczanie wyników

1 Special Matrices

1 Haskell E. C.

1 Paksoy V. E.

1 2017

Wyniki wyszukiwania

Spectral properties of a sequence of matrices connected to each other via Schur complement and arising in a compartmental model