Secondary range symmetric matrices
Divya Shenoy, Mehsin Jabel Atteya, Pankaj Kumar Manjhi, P Sam Johnson, Divya Shenoy
TL;DR
This paper introduces and explores the properties of secondary range symmetric matrices and their generalized inverses.
Contribution
The paper introduces secondary range symmetric matrices and provides new characterizations and conditions for their generalized inverses.
Findings
Secondary range symmetric matrices differ from range symmetric matrices and those over Minkowski space.
Necessary and sufficient conditions for a secondary range symmetric matrix to have a secondary generalized inverse are established.
Abstract
The concept of secondary range symmetric matrices are introduced here. Some characterizations as well as the equivalent conditions for a range symmetric matrix to be secondary range symmetric matrix is given. The idea of range symmetric matrices, range symmetric matrices over Minkowski space and secondary range symmetric matrices are different, and is depicted with the help of suitable examples. Finally, a necessary and sufficient condition for a secondary range symmetric matrix to have a secondary generalized inverse has been obtained.
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Taxonomy
TopicsStructural Health Monitoring Techniques · Radar Systems and Signal Processing · Matrix Theory and Algorithms