A family of face products of matrices and its properties
type: Item
instance of: scholarly article
title: A family of face products of matrices and its properties
zbMATH Open document ID: 0984.15015
DOI: 10.1007/BF02733426
author: V. I. Slyusar
published in: Cybernetics and Systems Analysis
publication date: 2002-05-07T00:00:00Z
review text: The author discusses the usefulness of new types of matrix operations. Let \(A=[a_{ij}]\) be a \(p\times q\) matrix. If \(B_i\) denotes row \(i\) of the \(p\times s\) matrix \(B\) and \(C_j\) denotes column \(j\) of the \(r\times q\) matrix \(C\), then the face product of \(A\) and \(B\) is the \(p\times qs\) matrix \[ A\square B=[a_{ij}B_i], \] and the transposed face product of \(A\) and \(C\) is the \(pr\times q\) matrix \[ A\bullet C=[a_{ij}C_j]. \] Results are obtained involving these operations and the usual operations of sum, product, Hadamard product, and Kronecker product.
Mathematics Subject Classification ID: 15A30
zbMATH DE Number: 1439541
zbMATH Keywords: face product
zbMATH Keywords: Hadamard product
zbMATH Keywords: Kronecker product
reviewed by: Peter Gibson
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf02733426
OpenAlex ID: W1988962497
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description: scientific article; zbMATH DE number 1439541