On polynomial EkP matrices
Copyright policy )On polynomial EkP matrices
The relation between \(EP-\lambda\) matrices and \(E^ kP - \lambda\) matrices over an arbitrary field \(F\) is studied. Further, conditions for the product of \(E^ kP - \lambda\) matrices to be an \(E^ kP - \lambda\) matrix and for the reverse order law to hold for the polynomial Moore- Penrose inverse of the product of \(E^ kP - \lambda\) matrices are presented with a lot of examples.
- Annamalai University India
arbitrary field, Matrices over function rings in one or more variables, Theory of matrix inversion and generalized inverses, \(EP\) lambda matrix, reverse order law, polynomial Moore- Penrose inverse
arbitrary field, Matrices over function rings in one or more variables, Theory of matrix inversion and generalized inverses, \(EP\) lambda matrix, reverse order law, polynomial Moore- Penrose inverse
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