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- W2007446032 abstract "In this paper an algorithm and architecture for computing the eigenvalue decomposition (EVD) of a symmetric matrix is presented. The EVD is computed using a Jacobi-type method, where the angle of the rotations is approximated by an angle ακ, corresponding to an orthonormal μ-rotation. These orthonormal μ-rotations are based on the idea of CORDIC and share the property that performing the rotation requires a minimal number of shift-add operations. We present various methods of contsruction for such orthonormal μ-rotations of increasing complexity. Moreover, the computations to determine which angle ακ to use in the approximation of the optiimal angle, can itself be expressed purely in orthonormal μ-rotations on the matrix data. The complexity of the used type of orthonormal μ-rotation decreases during the diagonalization of the matrix. A significant reduction of the number of required shift-add operations is achieved. All types of fast, orthonormal μ-rotations (and the computation to determine the optimal angle) can be implemented as a cascade of only four basic types of shift-add stages. These stages can be executed on a modified sequential floating-point CORDIC architecture, making the presented algorithm highly suited for VLSI-implementation." @default.
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- W2007446032 date "1995-12-01" @default.
- W2007446032 modified "2023-09-23" @default.
- W2007446032 title "An algorithm and architecture based on orthonormal μ-rotations for computing the symmetric EVD" @default.
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- W2007446032 doi "https://doi.org/10.1016/0167-9260(95)00016-x" @default.
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