Perturbation of spectral inverses applied to a boundary layer phenomenon arising in chemical networks
type: Item
instance of: scholarly article
title: Perturbation of spectral inverses applied to a boundary layer phenomenon arising in chemical networks
zbMATH Open document ID: 0774.34044
DOI: 10.1016/0024-3795(93)90524-R
published in: Linear Algebra and its Applications
publication date: 1993-08-08T00:00:00Z
review text: A linear model of the form \(x'=B(a,b)x\), \(x\geq 0\), \(t\geq 0\), which has boundary layer type behavior is developed. The matrix \(B\) has a rank discontinuity at the origin of \((a,b)\) parameter space. The analysis depends on a regularization technique for linear systems and a perturbation result for spectral (group) inverses. The theoretical results are applied to a compartmental model arising in the study of chemical networks.
reviewed by: Stephen L. Campbell
Mathematics Subject Classification ID: 34E15
Mathematics Subject Classification ID: 34A09
Mathematics Subject Classification ID: 34A30
Mathematics Subject Classification ID: 92E10
Mathematics Subject Classification ID: 34L05
zbMATH DE Number: 179132
zbMATH Keywords: spectral inverse
zbMATH Keywords: linear model
zbMATH Keywords: boundary layer
zbMATH Keywords: rank discontinuity
zbMATH Keywords: regularization technique
zbMATH Keywords: perturbation result
zbMATH Keywords: compartmental model
zbMATH Keywords: chemical networks
author: E. Bohl
author: P. Lancaster
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 179132