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Original scientific paper
On a decomposition of partitioned J-unitary matrices
; Department of Mathematics, University of Zagreb, Zagreb, Croatia
Fulltext: english, pdf (247 KB)
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 21 Jul. 2018.
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
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 21 July 2018)
Šego V. On a decomposition of partitioned J-unitary matrices. Mathematical Communications [Internet]. 2012 Jun 12 [cited 2018 July 21];17(1):265-284. Available from: https://hrcak.srce.hr/83080
V. Šego, "On a decomposition of partitioned J-unitary matrices", Mathematical Communications, vol.17, no. 1, pp. 265-284, July 2018. [Online]. Available: https://hrcak.srce.hr/83080. [Accessed: 21 July 2018]
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.
hyperbolic scalar product; decomposition; 2HSVD; semidefinite J-polar decomposition; unitary matrices; matrix root; indefinite QR; hyperbolic CS decomposition
Hrčak ID: 83080