Searching for authors named "Nikos Pitsianis" – sorted by Relevance.
5 documents found, showing 1 through 5.
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Some Properties of the Strong Kronecker Product
- …Introduction The strong Kronecker product is considered a powerful matrix multiplication tool for Hadamard and other orthogonal matrices from combinatorial theory [1]. Given two matrices B and C written as n 1 -by-n 2 and n 2 -by-n 3 block matrices respectively, the n 1 -by-n 3 block matrix A is s…
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A Kronecker Compiler for fast transform algorithms
- …We present a source-to-source compiler that processes matrix formulae in the form of Kronecker product factorizations. The Kronecker product notation allows for simple expressions of algorithms such as Walsh-Hadamard, Haar, Slant, Hartley, and FFTs as well as transpositions and wavelet transforms. T…
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High-performance FFT implementation on the BOPS ManArray parallel DSP
- …We present a high performance implementation of the FFT algorithm on the BOPS ManArray parallel DSP processor. The ManArray we consider for this application consists of an array controller and 2 to 4 fully interconnected processing elements. To expose the parallelism inherent to an FFT algorithm we …
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Approximation with Kronecker Products
- …Let A be an m-by-n matrix with m = m1m2 and n = n1n2 . We consider the problem of finding B 2 IR m 1 \Thetan 1 and C 2 IR m 2 \Thetan 2 so that k A \Gamma B\Omega C k F is minimized. This problem can be solved by computing the largest singular value and associated singular vectors of a permute…
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Multiple Control Bandwidth Computations in Adaptive-Optics
- …A study is made of a non--smooth matrix optimization problem arising in adaptive-- optics, which involves the optimal real--time control of a very fast--acting deformable mirror designed to compensate for atmospheric turbulence and other image degradation factors, such as wind--induced telescope vib…
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