Iterative methods for computing generalized inverses related with optimization methods
From MaRDI portal
Publication:4681467
DOI10.1017/S1446788700008077zbMath1102.46035MaRDI QIDQ4681467
Predrag S. Stanimirović, Dragan S. Djordjević
Publication date: 23 June 2005
Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)
Nonlinear programming (90C30) Theory of matrix inversion and generalized inverses (15A09) General theory of (C^*)-algebras (46L05) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)
Related Items (10)
The iterative methods for computing the generalized inverse \(A^{(2)}_{T,S}\) of the bounded linear operator between Banach spaces ⋮ Innovation based on Gaussian elimination to compute generalized inverse \(A_{T,S}^{(2)}\) ⋮ Unnamed Item ⋮ New proofs of two representations and minor of generalized inverse \(A_{T,S}^{(2)}\) ⋮ Full-rank representation of generalized inverse \(A_{T,S}^{(2)}\) and its application ⋮ Further results on iterative methods for computing generalized inverses ⋮ Scalar correction method for finding least-squares solutions on Hilbert spaces and its applications ⋮ On the \((p,q)\) outer generalized inverse in Banach algebra ⋮ Two closed novel formulas for the generalized inverse \(A_{T,S}^{(2)}\) of a complex matrix with given rank ⋮ A high-order iterate method for computing \(A_{T, S}^{(2)}\)
Cites Work
- Unnamed Item
- A uniform approach to gradient methods for linear operator equations
- Conjugate gradient method for computing the Moore-Penrose inverse and rank of a matrix
- A class of iterative methods of conjugate gradient type
- On the Generalized Drazin Inverse and Generalized Resolvent
- Quasi-Newton Methods, Motivation and Theory
- On Iterative Computation of Generalized Inverses and Associated Projections
- Two Algorithms Related to the Method of Steepest Descent
- Steepest Descent for Singular Linear Operator Equations
This page was built for publication: Iterative methods for computing generalized inverses related with optimization methods
