On the properties of a new tensor product of matrices

DOI10.1134/S0965542514040046zbMath1313.15044MaRDI QIDQ2940461

M. S. Bespalov

Publication date: 26 January 2015

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Kronecker productdiscrete Fourier analysisdiscrete Walsh-Paley transformnew tensor product of matricesSylvester-Hadamard matrix

Mathematics Subject Classification ID

Numerical methods for discrete and fast Fourier transforms (65T50) Multilinear algebra, tensor calculus (15A69) Boolean and Hadamard matrices (15B34)

Related Items (7)

Derivation of fast algorithms via binary filtering of signals ⋮ Shuffling matrices, Kronecker product and discrete Fourier transform ⋮ Generalization of the fast Fourier transform with a constant structure ⋮ Extraction of Walsh harmonics by linear combinations of dyadic shifts ⋮ Cyclic operators for columns of the matrices of discrete transforms ⋮ New Good's type Kronecker power expansions ⋮ Generating operator for discrete Chrestenson functions

Cites Work

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• Parametric versions of the fast Fourier transform
• A methodology for designing, modifying, and implementing Fourier transform algorithms on various architectures
• Discrete Chrestenson transform
• The multiplicative Fourier integral and its discrete analogues
• Rearrangements of series in the Walsh system
• Partitioning, orthogonality, and permutations
• Matrix Analysis
• A Remarkable Series of Orthogonal Functions (I)

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