Individual Tracking of an Eigenvalue and Eigenvector of a Parameterized Matrix

Robert E. Kalaba, K. Spingarn and Leigh Tesfatsion ()

Staff General Research Papers Archive from Iowa State University, Department of Economics

Abstract: This article develops a complete system of ordinary differential equations for tracking a single eigenvalue of a parameterized matrix, together with one of its corresponding right or left eigenvectors, over parameter intervals. The feasibility and accuracy of the method are illustrated by numerical examples. Annotated pointers to related work can be accessed here: http://www2.econ.iastate.edu/tesfatsi/nasahome.htm

Keywords: Eigenvalue; eigenvector; parameterized matrices; solution tracking algorithm; ordinary differential equations (search for similar items in EconPapers)
JEL-codes: C6 (search for similar items in EconPapers)
Date: 1981-01-01
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Citations: View citations in EconPapers (1)

Published in Nonlinear Analysis 1981, vol. 5, pp. 337-340

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Persistent link: https://EconPapers.repec.org/RePEc:isu:genres:11218

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