The Improved Nonsingularity on the r-Circulant Matrices in Signal Processing

As an important class of special matrix, r-circulant matrices have applied in numerical computation, signal processing, coding theory and oil investigation in recent years, and so on. In this paper, motivated by [1] and [2], we discuss the inverse problem of circulant matrices, by using only the ele...

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Bibliographic Details
Published in2009 International Conference on Computer Technology and Development : 13-15 November 2009 Vol. 2; pp. 564 - 567
Main Author Guangyuan Zhao
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.11.2009
Subjects
Chromium
Codes
Computer science
Educational institutions
inverse matrix
Inverse problems
non singularity
Petroleum
Polynomials
r-circulant matrix
Radio access networks
Signal processing
Signal processing algorithms
singularity
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ISBN9780769538921
0769538924
DOI10.1109/ICCTD.2009.218

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Summary:As an important class of special matrix, r-circulant matrices have applied in numerical computation, signal processing, coding theory and oil investigation in recent years, and so on. In this paper, motivated by [1] and [2], we discuss the inverse problem of circulant matrices, by using only the elements in the first row of the r-circulant matrix on non singularity, we give some discriminations, give a simpler and more useful algorithm method of the inverse matrix of the circulant matrix. and give an example at last.
ISBN:9780769538921
0769538924
DOI:10.1109/ICCTD.2009.218