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Original scientific paper

On a decomposition of partitioned J-unitary matrices

Vedran Šego ; Department of Mathematics, University of Zagreb, Zagreb, Croatia

Fulltext: english, pdf (247 KB) pages 265-284 downloads: 832* cite
APA 6th Edition
Šego, V. (2012). On a decomposition of partitioned J-unitary matrices. Mathematical Communications, 17 (1), 265-284. Retrieved from https://hrcak.srce.hr/83080
MLA 8th Edition
Šego, Vedran. "On a decomposition of partitioned J-unitary matrices." Mathematical Communications, vol. 17, no. 1, 2012, pp. 265-284. https://hrcak.srce.hr/83080. Accessed 15 Apr. 2021.
Chicago 17th Edition
Šego, Vedran. "On a decomposition of partitioned J-unitary matrices." Mathematical Communications 17, no. 1 (2012): 265-284. https://hrcak.srce.hr/83080
Harvard
Šego, V. (2012). 'On a decomposition of partitioned J-unitary matrices', Mathematical Communications, 17(1), pp. 265-284. Available at: https://hrcak.srce.hr/83080 (Accessed 15 April 2021)
Vancouver
Šego V. On a decomposition of partitioned J-unitary matrices. Mathematical Communications [Internet]. 2012 [cited 2021 April 15];17(1):265-284. Available from: https://hrcak.srce.hr/83080
IEEE
V. Šego, "On a decomposition of partitioned J-unitary matrices", Mathematical Communications, vol.17, no. 1, pp. 265-284, 2012. [Online]. Available: https://hrcak.srce.hr/83080. [Accessed: 15 April 2021]

Abstracts
We propose a new decomposition of hyperbolic block-unitary matrices into a product of a hyperbolic block-rotation and a block-diagonal hyperbolic unitary matrix. A similar result is known in the real space equipped with the Euclidean scalar product, but we generalize it to the complex spaces equipped with hyperbolic scalar products.
We shall also present an example how such a decomposition might be used to calculate other decompositions with block-operations.

Keywords
hyperbolic scalar product; decomposition; 2HSVD; semidefinite J-polar decomposition; unitary matrices; matrix root; indefinite QR; hyperbolic CS decomposition

Hrčak ID: 83080

URI
https://hrcak.srce.hr/83080

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