Nonnegative Moore–Penrose inverses of Gram operators
Copyright policy )Nonnegative Moore–Penrose inverses of Gram operators
The main purpose of this work is to generalize the characterization of nonnegativity of inverses of Gram matrices in two directions: from finite dimensional real Euclidean spaces to (possibly) infinite dimensional real Hilbert spaces and from classical inverses to Moore-Penrose inverses.
nonnegative inverse operator, Numerical Analysis, Obtuse cones, Algebra and Number Theory, General (adjoints, conjugates, products, inverses, domains, ranges, etc.), Gram matrices, Moore–Penrose inverse, Positive linear operators and order-bounded operators, obtuse cones, Moore-Penrose inverse, Positive matrices and their generalizations; cones of matrices, Gram operator, Discrete Mathematics and Combinatorics, Theory of matrix inversion and generalized inverses, Geometry and Topology
nonnegative inverse operator, Numerical Analysis, Obtuse cones, Algebra and Number Theory, General (adjoints, conjugates, products, inverses, domains, ranges, etc.), Gram matrices, Moore–Penrose inverse, Positive linear operators and order-bounded operators, obtuse cones, Moore-Penrose inverse, Positive matrices and their generalizations; cones of matrices, Gram operator, Discrete Mathematics and Combinatorics, Theory of matrix inversion and generalized inverses, Geometry and Topology
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