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Linear complementarity problem, Moore-Penrose inverse, Verified solution, Abso- lute value equation. AMS

Closed-form formulas are derived for the rank and inertia of submatrices of the Moore–Penrose inverse of a Hermitian matrix.. A variety of consequences on the nonsingularity,

Some results relating different matrix partial orderings and the reverse order law for the Moore-Penrose inverse and the group inverse are given.. Special attention is paid when

whether a specied real, symmetric matrix is a member of any of several closely related classes: the MMA-matrices; the inverse MMA-matrices; the strictly positive, positive

In [3], transformations of generating systems of Euclidean spaces are introduced based on the Moore-Penrose inverses of their Gram matrices in order to generalize the notion

In this paper we consider Moore-Penrose invertible or both Moore-Penrose invertible and group invertible elements in rings with involution to characterize partial isometries, EP

Minimum rank, Symmetric matrix, Finite field, Projective geometry, Polarity.. graph, Bilinear

In this section, we will use our results on the inertia sets of connected minimum rank 2 graphs and our results on the structure of these minimum rank matrices to investigate