Individual tracking of an eigenvalue and eigenvector of a parameterized matrix

DOI10.1016/0362-546X(81)90018-3zbMath0476.49029OpenAlexW2076957468MaRDI QIDQ3933537

Leigh Tesfatsion, Robert E. Kalaba, Karl Spingarn

Publication date: 1981

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(81)90018-3

zbMATH Keywords

parameterized matrixinitial value system of differential equationsmatrix- valued differentiable functiontracking of an eigenvalue and eigenvector

Mathematics Subject Classification ID

Related Items (5)

Nonlocal sensitivity analysis, automatic derivative evaluation, and sequential nonlinear estimation ⋮ Iterative eigenmode tracking for computing the saddle points of general dispersion relationships ⋮ Local linear stability of plumes generated along vertical heated cylinders in stratified environments ⋮ A new differential equation method for finding the Perron root of a positive matrix ⋮ Coalescing Eigenvalues and Crossing Eigencurves of 1-Parameter Matrix Flows

Cites Work

• A least-squares model specification test for a class of dynamic nonlinear economic models with systematically varying parameters
• Variational equations for the eigenvalues and eigenvectors of nonsymmetric matrices
• A new differential equation method for finding the Perron root of a positive matrix

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