A Restricted Pseudoinverse and Its Application to Constrained Minima

DOI10.1137/0119015zbMath0299.15003OpenAlexW2027513847MaRDI QIDQ4053778

Kahei Nakamura, Nariyasu Minamide

Publication date: 1970

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0119015

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Existence theories for problems in abstract spaces (49J27) Direct numerical methods for linear systems and matrix inversion (65F05) Optimality conditions for problems in abstract spaces (49K27)

Related Items (15)

The method of weighting and approximation of restricted pseudosolutions ⋮ Generalized inversion and weak bi-complementarity^∗ ⋮ On linear statistical models of commutative quadratic type ⋮ A regularized method for solving constrained pseudoinverse problems ⋮ Constrained least-squares solutions of linear inclusions and singular control problems in Hilbert spaces ⋮ Coupled linear operators ⋮ On discrete-time Kalman filter in singular case and a kind of pseudo-inverse of a matrix† ⋮ An iterative regularization method for the 2-constrained pseudoinversion of an operator equation ⋮ The generalized Bott-Duffin inverse and its applications ⋮ A generalization of the Bott-Duffin inverse and its applications ⋮ Zur Darstellung Pseudoinverser Operatoren ⋮ Application of constrained generalized inverse to pattern classification ⋮ Splines and pseudo-inverses ⋮ Generalized inverses of matrices: a perspective of the work of Penrose ⋮ On the existence of solutions to equality constrained least-squares problems in infinite-dimensional Hilbert spaces.

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