Steepest descent for singular linear operators with nonclosed range

DOI10.1080/00036817108839011zbMath0212.15802OpenAlexW2010989659WikidataQ58301040 ScholiaQ58301040MaRDI QIDQ5613474

W. J. Kammerer, M. Zuhair Nashed

Publication date: 1971

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036817108839011

Mathematics Subject Classification ID

Equations and inequalities involving linear operators, with vector unknowns (47A50) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items

Gradient Method for Nondensely Defined Closed Unbounded Linear Operators ⋮ A convergence rate result for a steepest descent method and a minimal error method for the solution of nonlinear ill-posed problems ⋮ A minimal error conjugate gradient method for ill-posed problems ⋮ A modified steepest descent scheme for solving a class of parameter identification problems ⋮ A modified convergence analysis for steepest descent scheme for solving nonlinear operator equation ⋮ A Donoho-Stark criterion for stable signal recovery in discrete wavelet subspaces ⋮ A convergence analysis of a method of steepest descent and a two–step algorothm for nonlinear ill–posed problems ⋮ Convergence rate results for steepest descent type method for nonlinear ill-posed equations ⋮ A uniform approach to gradient methods for linear operator equations ⋮ On rates of convergence for approximations to the generalized inverse ⋮ Iterative methods for best approximate solutions of linear integral equations of the first and second kinds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Spektraltheorie halbbeschränkter Operatoren und Anwendung auf die Spektralzerlegung von Differentialoperatoren. I
• On a class of K-p.d. and non-K-p.d. operators and operator equations
• The operator theory of the pseudo-inverse. I: Bounded operators, II: Unbounded operators with arbitrary range
• Iterative Behandlung linearer Funktionalgleichungen
• Relative self-adjoint operators in Hilbert space
• On generalized inverses and on the uniform convergence of \((I-\beta K)_ n\) with application to iterative methods
• On convergence of alternating direction procedures in the presence of singular operators
• Remarks on the application of gradient mappings to the calculus of variations and the connected boundary value problems in partial differential equations
• Steepest Descent for Singular Linear Operator Equations
• Contributions to the Theory of Generalized Inverses
• A Note on Pseudoinverses