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A Boundary Layer Phenomenon for Linear Systems with a Rank Deficient Matrix
Author(s) -
Bohl E
Publication year - 1991
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19910710707
Subject(s) - mathematics , rank (graph theory) , linear system , boundary layer , matrix (chemical analysis) , phenomenon , regularization (linguistics) , perturbation (astronomy) , singular perturbation , state transition matrix , mathematical analysis , computer science , physics , symmetric matrix , combinatorics , mechanics , eigenvalues and eigenvectors , materials science , quantum mechanics , artificial intelligence , composite material
This paper considers linear systems with a singular matrix and provides a regularization to compute all solutions. If the system is a perturbation of a rank deficient matrix, a boundary layer phenomenon is possible. Systems of the kind considered occur in enzyme kinetics. A particular example and numerical results are given.