K C Sivakumar

Department of Mathematics

Fulltext

IIT Madras is a public technical and research university located in Chennai, Tamil Nadu. Founded in 1959, it is recognised as an Institute of National Importance.

IIT Madras has been ranked as the top engineering institute in India for four years in a row by the National Institutional Ranking Framework of the MHRD

It currently offers undergraduate, postgraduate and research degrees across 16 disciplines in Engineering, Sciences, Humanities and Management. About 596 faculty belonging to science and engineering departments and centres of the Institute are engaged in teaching, research and industrial consultancy.

IIT Madras

Journal of Optimization Theory and Applications

In this paper, we derive necessary and sufficient conditions for the nonnegativity of the Moore-Penrose inverse of a Gram matrix defined in an indefinite inner product space using indefinite matrix multiplication. These conditions include the acuteness of a pair of closed convex cones. © 2008 Springer Science+Business Media, LLC.

Nonnegative Moore-Penrose inverse of Gram matrices in an indefinite inner product space

The concept of the Moore-Penrose inverse in an indefinite inner product space is introduced. Extensions of some of the formulae in the Euclidean space to an indefinite inner product space are studied. In particular range-hermitianness is completely characterized. Equivalence of a weighted generalized inverse and the Moore-Penrose inverse is proved. Finally, methods of computing the Moore-Penrose inverse are presented. © 2005 Korean Society for Computational & Applied Mathematics and Korean SIGCAM.

Journal of Applied Mathematics and Computing

Moore-Penrose inverse in an indefinite inner product space

Methods of Mathematical Economics

Analytical Dynamics

Generalized Inverses and Applications

Some Topics in Generalized Inverses of Matrices

Indefinite Inner Product Spaces

Theorems of the alternative over indefinite inner product spaces

Journal	Journal of Optimization Theory and Applications
ISSN	00223239
Open Access	Yes