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Matrix Differential Equations for Pseudo-orthogonal Groups

  • V. I. Chilin
  • K. K. Muminov
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 264)

Abstract

We consider a system of matrix differential equations whose nondegenerate solutions are O(npR)-equivalent, where O(npR) is the pseudo-orthogonal group of invertible linear transformations of \(R^n\). We show that the class of first columns of the set of matrices that are nondegenerate solutions of this system coincides with the class of O(npR)-equivalent paths in \(R^n\).

Keywords

Pseudo-orthogonal group Regular path Equivalence of paths Matrix differential equation 

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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.National University of UzbekistanTashkentUzbekistan

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