Reducing The Computations Of The SVD Array Given By Brent And Luk

B. Yang; J. F. Bohme

doi:10.1117/12.962268

14 November 1989 Reducing The Computations Of The SVD Array Given By Brent And Luk

B. Yang, J. F. Bohme

Proceedings Volume 1152, Advanced Algorithms and Architectures for Signal Processing IV; (1989) https://doi.org/10.1117/12.962268
Event: 33rd Annual Technical Symposium, 1989, San Diego, United States

Abstract

A new, efficient two plane rotations (TPR) method for computing two-sided rotations involved in singular value decomposition (SVD) is presented. By exploiting the commutative properties of some special types of 2x2 matrices, we show that a two-sided rotation can be computed by only two plane rotations and a few additions. Moreover, if we use coordinate rotation digital computer (CORDIC) processors to implement the processing elements (PEs) of the SVD array given by Brent and Luk, the computational overhead of the diagonal PEs due to angle calculations can be avoided. The resulting SVD array has a homogeneous structure with identical diagonal and off-diagonal PEs.

Citation Download Citation

B. Yang and J. F. Bohme "Reducing The Computations Of The SVD Array Given By Brent And Luk", Proc. SPIE 1152, Advanced Algorithms and Architectures for Signal Processing IV, (14 November 1989); https://doi.org/10.1117/12.962268

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