Moore-Penrose inverse in an indefinite inner product space

DOI10.1007/BF02935806zbMath1085.15005OpenAlexW2150157601MaRDI QIDQ2574344

K. Kamaraj, K. C. Sivakumar

Publication date: 21 November 2005

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02935806

zbMATH Keywords

Moore-Penrose inversegroup inverserange-Hermitian matrices, indefinite inner product space

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Hermitian, skew-Hermitian, and related matrices (15B57) Quadratic and bilinear forms, inner products (15A63) Vector spaces, linear dependence, rank, lineability (15A03)

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Representations and computations of \(\{2, 3^\sim \}\) and \(\{2, 4^\sim \}\)-inverses in indefinite inner product spaces, Star partial order in indefinite inner product spaces, On restricting planar curve evolution to finite dimensional implicit subspaces with non-Euclidean metric, Hyperbolic Pseudoinverses for Kinematics in the Euclidean Group, On mixed and componentwise condition numbers for indefinite least squares problem, Theorems of the alternative over indefinite inner product spaces, Moore-Penrose inverse in indefinite inner product spaces, WEIGHTED MOORE-PENROSE INVERSES OF ADJOINTABLE OPERATORS ON INDEFINITE INNER-PRODUCT SPACES, Weighted Moore-Penrose inverses of products and differences of weighted projections on indefinite inner-product spaces, Complex ZNN for computing time-varying weighted pseudo-inverses

Cites Work

• The generalized Moore-Penrose inverse
• Inverse Order Rule for Weighted Generalized Inverse
• Computation of Generalized Inverse Matrices which Satisfy Specified Conditions
• An Application of the Cayley-Hamilton Theorem to Generalized Matrix Inversion
• Linear Statistical Inference and its Applications
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