Eigen values and vectors computations on VIRTEX-5 FPGA platform cyclic Jacobi's algorithm using systolic array architecture
Eigen values and vectors computations on VIRTEX-5 FPGA platform cyclic Jacobi's algorithm using systolic array architecture
- Author(s): G.V. Mahale and P.P. Bartakke
- DOI: 10.1049/ic.2011.0044
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- Author(s): G.V. Mahale and P.P. Bartakke Source: 3rd International Conference on Advances in Recent Technologies in Communication and Computing (ARTCom 2011), 2011 p. 20 – 24
- Conference: 3rd International Conference on Advances in Recent Technologies in Communication and Computing (ARTCom 2011)
- DOI: 10.1049/ic.2011.0044
- ISBN: 978-8-19106-918-1
- Location: Bangalore, India
- Conference date: 14-15 Sept. 2011
- Format: PDF
The parallel iterative algorithms are the major advancements in the field of computing. These algorithms lead to efficient usage of hardware as well as obtaining faster results. In this paper, we describe architecture to compute eigen values and eigen vectors of a matrix having dimensions up to 50 × 50 using cyclic Jacobi's Algorithm. Systolic array architecture is used to apply it to matrices of larger dimensions. We have implemented the architecture on FPGA Vertex-5 that takes about 8059 LUT slices out of 69120 slices for matrices of dimensions 50 × 50.
Inspec keywords: field programmable gate arrays; parallel algorithms; systolic arrays; Jacobian matrices; eigenvalues and eigenfunctions; iterative methods
Subjects: Logic and switching circuits; Linear algebra (numerical analysis); Interpolation and function approximation (numerical analysis); Interpolation and function approximation (numerical analysis); Linear algebra (numerical analysis); Logic circuits
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