Parallel and sequential Kaczmarz methods for solving underdetermined nonlinear equations
From MaRDI portal
Publication:1084834
DOI10.1016/0377-0427(86)90222-0zbMath0606.65035OpenAlexW2144471674MaRDI QIDQ1084834
José Mario Martínez, Raimundo J. B. de Sampaio
Publication date: 1986
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0377-0427(86)90222-0
iterative methodslocal convergenceunderdetermined systemsparallel Kaczmarz methodsequential Kaczmarz method
Related Items
Solving systems of nonlinear equations by means of an accelerated successive orthogonal projections method, An acceleration scheme for row projection methods, Supplementary projections for the acceleration of Kaczmarz algorithm, Parallel application of block-iterative methods in medical imaging and radiation therapy, A parallel projection method for overdetermined nonlinear systems of equations, OLS with multiple high dimensional category variables, Relaxed outer projections, weighted averages and convex feasibility, An algorithm for solving sparse nonlinear least squares problems, Block-iterative projection methods for parallel computation of solutions to convex feasibility problems, Quasi-Newton methods for solving underdetermined nonlinear simultaneous equations
Cites Work
- The method of successive orthogonal projections for solving nonlinear simultaneous equations
- A quasi-Newton method with modification of one column per iteration
- A relaxed version of Bregman's method for convex programming
- A parallel subgradient projections method for the convex feasibility problem
- Iterative algorithms for large partitioned linear systems, with applications to image reconstruction
- Solution of underdetermined nonlinear equations by stationary iteration methods
- Application of the Armijo stepsize rule to the solution of a nonlinear system of equalities and inequalities
- Generalization of the Methods of Brent and Brown for Solving Nonlinear Simultaneous Equations
- Solving nonlinear simultaneous equations with a generalization of Brent's method
- Row-Action Methods for Huge and Sparse Systems and Their Applications
- Direct Secant Updates of Matrix Factorizations
- On Newton-Iterative Methods for the Solution of Systems of Nonlinear Equations
- On the Local and Superlinear Convergence of Quasi-Newton Methods
- Extensions and Applications of the Householder Algorithm for Solving Linear Least Squares Problems
- Modification of a Quasi-Newton Method for Nonlinear Equations with a Sparse Jacobian
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item