Please use this identifier to cite or link to this item:
http://hdl.handle.net/10603/319555
Title: | Contribution to the study on Con Secondary k Normal Bimatrices |
Researcher: | R. MANIKANDAN |
Guide(s): | Dr. N. ELUMALA |
Keywords: | Mathematics Mathematics Applied Physical Sciences |
University: | Bharathidasan University |
Completed Date: | 2018 |
Abstract: | The present thesis consisting of six chapters is primarily confined to a study newlineon Con. Secondary k-normal bimatrices. newlineIn chapter I, Review of literature, notations, basic definitions preliminary newlineresults and summary of results obtained in this thesis are given. newlineIn chapter II, The Secondary k-normal and con. secondary k- normal newline(Conjugate Secondary k-Normal) bimatrix is defined and its characterizations are newlineobtained and also the equivalent condition of Con. Secondary k-normal bimatrices are newlinediscussed. newlineIn chapter III, The properties of con. secondary k-normal bimatrices are newlinediscussed. The sum of secondary k-normal bimatrices in n n R and#61620; and con. Secondary newlinek-normal bimatrices in n n C and#61620; are derived. newlineIn chapter IV, Con. Secondary k-normal bimatrix Solutions to the Toeplitz newlinematrices. Con. secondary k-normal circulant bimatrices, con. secondary k-normal newlinecentrosymmetric and centrohermitian bimatrices are also discussed. newlineIn chapter V, The inequalities on con. secondary k-normal bimatrices are newlineobtained. star partial ordering of conjugate secondary k-normal bimatrices and minus newlinepartial ordering of conjugate secondary k-normal bimatrices are discussed. The newlineSeveral characterizations for B B A Band#61482; and#61603; and B B A B and#61485; and#61603; in the case of conjugate newlinesecondary k-normal bimatrices are determined. newlineIn chapter VI, The generalized inverses of con. secondary k-normal bimatrices newlineare discussed. The secondary k-generalized inverse exists for particular kind of square |
Pagination: | |
URI: | http://hdl.handle.net/10603/319555 |
Appears in Departments: | Department of Mathematics |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
80_recommendation.pdf | Attached File | 4.7 kB | Adobe PDF | View/Open |
acknowledgement.pdf | 173.9 kB | Adobe PDF | View/Open | |
bibliography.pdf | 97.35 kB | Adobe PDF | View/Open | |
certificate page.pdf | 170.73 kB | Adobe PDF | View/Open | |
chapter 1.pdf | 477.28 kB | Adobe PDF | View/Open | |
chapter 2.pdf | 304.66 kB | Adobe PDF | View/Open | |
chapter 3.pdf | 428.43 kB | Adobe PDF | View/Open | |
chapter 4.pdf | 327.16 kB | Adobe PDF | View/Open | |
chapter 5.pdf | 312.43 kB | Adobe PDF | View/Open | |
chapter 6.pdf | 328.79 kB | Adobe PDF | View/Open | |
contents.pdf | 25.8 kB | Adobe PDF | View/Open | |
title page.pdf | 117 kB | Adobe PDF | View/Open |
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