Some Characterizations of the Distribution of the Condition Number of a Complex Gaussian Matrix

The objective of this paper is to characterize the distribution of the condition number of a complex Gaussian matrix. Several new distributional properties of the distribution of the condition number of a complex Gaussian matrix are given. Based on such distributional properties, some characterizati...

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Main Authors:	Shakil M., Ahsanullah M.
Format:	Article
Language:	English
Published:	De Gruyter 2020-01-01
Series:	Special Matrices
Subjects:	characterization condition number gaussian matrices order statistics truncated first moment upper record values 15a12 15a52
Online Access:	https://doi.org/10.1515/spma-2020-0004

id	doaj-a14e23cee267420794a62ce00a8cc21b
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spelling	doaj-a14e23cee267420794a62ce00a8cc21b2021-10-02T19:10:40ZengDe GruyterSpecial Matrices2300-74512020-01-0181223510.1515/spma-2020-0004spma-2020-0004Some Characterizations of the Distribution of the Condition Number of a Complex Gaussian MatrixShakil M.0Ahsanullah M.1Miami Dade College, Hialeah, FL 33012, USARider University, Lawrenceville, NJ 08648, USAThe objective of this paper is to characterize the distribution of the condition number of a complex Gaussian matrix. Several new distributional properties of the distribution of the condition number of a complex Gaussian matrix are given. Based on such distributional properties, some characterizations of the distribution are given by truncated moment, order statistics and upper record values.https://doi.org/10.1515/spma-2020-0004characterizationcondition numbergaussian matricesorder statisticstruncated first momentupper record values15a1215a52
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Shakil M. Ahsanullah M.
spellingShingle	Shakil M. Ahsanullah M. Some Characterizations of the Distribution of the Condition Number of a Complex Gaussian Matrix Special Matrices characterization condition number gaussian matrices order statistics truncated first moment upper record values 15a12 15a52
author_facet	Shakil M. Ahsanullah M.
author_sort	Shakil M.
title	Some Characterizations of the Distribution of the Condition Number of a Complex Gaussian Matrix
title_short	Some Characterizations of the Distribution of the Condition Number of a Complex Gaussian Matrix
title_full	Some Characterizations of the Distribution of the Condition Number of a Complex Gaussian Matrix
title_fullStr	Some Characterizations of the Distribution of the Condition Number of a Complex Gaussian Matrix
title_full_unstemmed	Some Characterizations of the Distribution of the Condition Number of a Complex Gaussian Matrix
title_sort	some characterizations of the distribution of the condition number of a complex gaussian matrix
publisher	De Gruyter
series	Special Matrices
issn	2300-7451
publishDate	2020-01-01
description	The objective of this paper is to characterize the distribution of the condition number of a complex Gaussian matrix. Several new distributional properties of the distribution of the condition number of a complex Gaussian matrix are given. Based on such distributional properties, some characterizations of the distribution are given by truncated moment, order statistics and upper record values.
topic	characterization condition number gaussian matrices order statistics truncated first moment upper record values 15a12 15a52
url	https://doi.org/10.1515/spma-2020-0004
work_keys_str_mv	AT shakilm somecharacterizationsofthedistributionoftheconditionnumberofacomplexgaussianmatrix AT ahsanullahm somecharacterizationsofthedistributionoftheconditionnumberofacomplexgaussianmatrix
_version_	1716848061884399616

Some Characterizations of the Distribution of the Condition Number of a Complex Gaussian Matrix

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