Abstract
Various directions of obtaining novel structured matrices are discussed. A new class of matrices, called “the L-family” matrices are introduced and their properties are studied.
Highlights
Linear algebra is central to modern mathematics and has been found many applications in Science, Technology, Engineering and many other disciplines
A special family of matrices are discussed in detail with some interesting properties
It is expected that this family of matrices will find interesting applications in various disciplines of human endeavour
Summary
Linear algebra is central to modern mathematics and has been found many applications in Science, Technology, Engineering and many other disciplines. Matrices with special kind of structure like Toeplitz, Hankel etc., are studied with great interest [2]. A special family (called “The L-family”) of matrices are discussed in detail with some interesting properties. It is expected that this family of matrices will find interesting applications in various disciplines of human endeavour. This idea of analysing new structured matrices was adopted from Dr G. Rama Murthy’s journal paper “Innovative Structured Matrices”, International Journal of Algorithms, Computing and Mathematics Volume 2, Number 4, November 2009
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