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Vol. 1 No. 2 (2022): International Journal of Automation and Digital Transformation

Measurement of Angle Between Subspaces in Direct Sum Decomposition

Submitted
October 2, 2023
Published
2023-10-02

Abstract

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.

References

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  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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