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Variational Equations for the Eigenvalues and Eigenvectors of Nonsymmetric Matrices

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Author Info

  • Kalaba, Robert E.
  • Spingarn, K.
  • Tesfatsion, Leigh S.

Abstract

This article develops a complete system of ordinary differential equations for tracking the eigenvalues and the right and left eigenvectors of nonsymmetric parameterized matrices over parameter intervals. A simpler reduced form of the ODE system is then derived for tracking the eigenvalues and eigenvectors of symmetric parameterized matrices. The feasibility and accuracy of the tracking method are illustrated by numerical examples. Annotated pointers to related work can be accessed here: http://www.econ.iastate.edu/tesfatsi/nasahome.htm

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Bibliographic Info

Paper provided by Iowa State University, Department of Economics in its series Staff General Research Papers with number 11219.

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Date of creation: 01 Jan 1981
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Publication status: Published in Journal of Optimization Theory and Applications 1981, vol. 33
Handle: RePEc:isu:genres:11219

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Postal: Iowa State University, Dept. of Economics, 260 Heady Hall, Ames, IA 50011-1070
Phone: +1 515.294.6741
Fax: +1 515.294.0221
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Web page: http://www.econ.iastate.edu
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Related research

Keywords: Eigenvalue; eigenvector; ordinary differential equations; nonsymmetric parameterized matrices; solution tracking;

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Cited by:
  1. Max E. Jerrell, 1999. "Environments for Global Optimization Using Interval Arithmetic and Computational (Automatic) Differentiation," Computing in Economics and Finance 1999 1321, Society for Computational Economics.

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