Factorizations for q-Pascal matrices of two variables

Factorizations for q-Pascal matrices of two variables

In this second article on q-Pascal matrices, we show how the previous factorizations by the summation matrices and the so-called q-unit matrices extend in a natural way to produce q-analogues of Pascal matrices of two variables by Z. Zhang and M. Liu as follows

Bibliographic Details
Main Author: Ernst Thomas
Format: Article
Language:English
Published: De Gruyter 2015-10-01
Series:Special Matrices
Subjects:
q-Pascal matrix
q-unit matrix
q-matrix multiplication
Online Access:http://www.degruyter.com/view/j/spma.2015.3.issue-1/spma-2015-0020/spma-2015-0020.xml?format=INT
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spelling doaj-f38e54a9478e474ab9655aba559370fe2021-10-02T16:12:42ZengDe GruyterSpecial Matrices2300-74512015-10-013110.1515/spma-2015-0020spma-2015-0020Factorizations for q-Pascal matrices of two variablesErnst Thomas0Department of Mathematics, Uppsala University, P.O. Box 480, SE-751 06 Uppsala, SwedenIn this second article on q-Pascal matrices, we show how the previous factorizations by the summation matrices and the so-called q-unit matrices extend in a natural way to produce q-analogues of Pascal matrices of two variables by Z. Zhang and M. Liu as followshttp://www.degruyter.com/view/j/spma.2015.3.issue-1/spma-2015-0020/spma-2015-0020.xml?format=INTq-Pascal matrix q-unit matrix q-matrix multiplication
collection DOAJ
language English
format Article
sources DOAJ
author Ernst Thomas
spellingShingle Ernst Thomas
Factorizations for q-Pascal matrices of two variables
Special Matrices
q-Pascal matrix
q-unit matrix
q-matrix multiplication
author_facet Ernst Thomas
author_sort Ernst Thomas
title Factorizations for q-Pascal matrices of two variables
title_short Factorizations for q-Pascal matrices of two variables
title_full Factorizations for q-Pascal matrices of two variables
title_fullStr Factorizations for q-Pascal matrices of two variables
title_full_unstemmed Factorizations for q-Pascal matrices of two variables
title_sort factorizations for q-pascal matrices of two variables
publisher De Gruyter
series Special Matrices
issn 2300-7451
publishDate 2015-10-01
description In this second article on q-Pascal matrices, we show how the previous factorizations by the summation matrices and the so-called q-unit matrices extend in a natural way to produce q-analogues of Pascal matrices of two variables by Z. Zhang and M. Liu as follows
topic q-Pascal matrix
q-unit matrix
q-matrix multiplication
url http://www.degruyter.com/view/j/spma.2015.3.issue-1/spma-2015-0020/spma-2015-0020.xml?format=INT
work_keys_str_mv AT ernstthomas factorizationsforqpascalmatricesoftwovariables
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