International Journal of Automation and Digital Transformation

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مجلد 1 عدد 2 (2022): International Journal of Automation and Digital Transformation

Measurement of Angle Between Subspaces in Direct Sum Decomposition

مقدم
October 2, 2023
منشور
2023-10-02

الملخص

The problems of Eigen structure assignment has been studied. As an immediate part of that, the problem addressed is the development of measures of “skewness” between subspaces which are in the direct sum decomposition of the state space and a concept of angle between a set of subspaces.

المراجع

  1. V. Mazya and T. Shaposhnikova, Jacques Hadamard: A Universal Mathematician, Published by American Mathematical Society, London Mathematical Society, pp. 383, 1999.
  2. D. J. H. Garling, Inequalities: A Journey into Linear Analysis, 1st ed., Cambridge University Press, Jul. 2007.
  3. A. W. Marshall and I. Olkin, Inequalities, Theory of Majorization and Its Applications, Mathematics in Science and Engineering, Vol. 143, Academic Press, New York, 1979.
  4. O. Popescu, C. Rose and D. C. Popescu, Maximizing the Determinant for a Special Class of Block-Partitioned Matrices, Mathematical Problems in Engineering, pp. 49–61, Hindawi Publishing Corporation, 2004.
  5. R. A. Horn and C. R. Johnson, Matrix Analysis, Cambridge University Press, 1985.
  6. D. S. Bernstein, Matrix Mathematics: Theory, Facts, and Formulas, Princeto University Press, 200

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