Two-sided hyperbolic SVD (CROSBI ID 163009)
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Podaci o odgovornosti
Šego, Vedran
engleski
Two-sided hyperbolic SVD
The aim of this paper is construction of a singular value decomposition of a given matrix A with regards to a hyperbolic scalar product induced by J (called two-sided SVD or, shortly, just 2HSVD), maintaining the properties similar to those of a traditional singular value decomposition. We propose 2HSVD itself, its variant for J-nonnegative matrices, relation to a semidefinite J-polar decomposition and its properties similar or equal to those in Euclidean case.
hyperbolic scalar product; genaralization of SVD; semidefinite J-polar decomposition
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Podaci o izdanju
433 (7)
2010.
1265-1275
objavljeno
0024-3795
10.1016/j.laa.2010.06.024