Scientific Research Publishing

Relationships among Three Multiplicities of a Differential Operator’s Eigenvalue ()

In this paper, the algebraic, geometric and analytic multiplicities of an eigenvalue for linear differential operators are defined and classified. The relationships among three multiplicities of an ...
INSPIRE

Split Casimir Operator and Universal Formulation of the Simple Lie Algebras

We construct characteristic identities for the split (polarized) Casimir operators of the simple Lie algebras in adjoint representation. By means of these characteristic identities, for all simple Lie ...
Scientific Research Publishing

Lone, M.S. and Krishnaswamy, D. (2016) m-Projections Involving Minkowski Inverse and Range ...

ABSTRACT: In this paper, we obtain some new characterizations of the range symmetric matrices in the Minkowski Space M by using the Block representation of the matrices. These characterizations are ...
Frontiers

The nth-order features adjoint sensitivity analysis methodology for response-coupled ...

This work presents the mathematical/theoretical framework of the “nth-Order Feature Adjoint Sensitivity Analysis Methodology for Response-Coupled Forward/Adjoint ...