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

• Autorzy: Evan C. Haskell , Vehbi E. Paksoy
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Schur complement; Routh-Hurwitz criterion; elementary symmetric polynomials; linear compartmental model; latency phase

• Wydawca: De Gruyter Open
• Czasopismo: Special Matrices
• Rocznik: 2017
• Tom: 5
• Numer: 1
• Strony: 242-249

Daty

wydano

2017-10-26

otrzymano

2017-03-31

zaakceptowano

2017-10-12

online

2017-11-07

Twórcy

autor

Evan C. Haskell

• , FL 33314,

autor

Vehbi E. Paksoy

• , FL 33314,

Identyfikatory

DOI

10.1515/spma-2017-0017