vol22_pp138-150. 125KB Jun 04 2011 12:06:11 AM
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purpose of this paper is to give some necessary and sufficient conditions for the existence and the representations of the group inverse of the block matrix A C..
The asymptotics of the Schatten norms of finite Toeplitz matrices generated by functions with a Fisher-Hartwig singularity are described as the matrix dimension n goes to infinity..
This formula is used to give a graph-theoretic description of the group inverse of an irreducible tridiagonal matrix of odd order with zero diagonal (which is singular)..
While Chan and Li’s proof of Horn’s Theorem and our proof of Mirsky’s Theorem have a similar structure, there is a significant difference: The matrices whose existence is guaranteed
In this paper, we present some results relating different matrix partial orderings and the reverse order law for the Moore-Penrose inverse and group inverse.. Special attention is
A technique similar to that of Chan and Li can be found in Thompson’s earlier work [ 6 ] on the diagonal entries and singular values of a square
The group inverse of block matrices has numerous applications in matrix theory, such as singular differential and difference equations, Markov chains, iterative meth- ods and so on
In this section, we prove results concerning local (i.e., restricted to proper subspaces) vs global linear dependence of operators that will be used in the proof of Theorem 1.5, and
