Parallel ABS projection methods for linear and nonlinear systems with block arrowhead structure

DOI10.1016/S0898-1221(99)00258-8zbMath0945.65056MaRDI QIDQ1972460

Aurel Galantai

Publication date: 5 October 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

comparison of methodsparallel computationAbaffy-Broyden-Spedicato methodsstructured sparsityABS methodcapacitance matrix methodblock implicit LU factorizationlinear and nonlinear algebraic systems

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (1)

An efficient method for computing the inverse of arrowhead matrices

Cites Work

• A view of the limitations, opportunities, and challenges in parallel nonlinear optimization
• Consistent approximations in Newton-type decomposition methods
• The local convergence of ABS methods for nonlinear algebraic equations
• A class of superlinear decomposition beetiiods in nonlinear equations
• Generalization of the Methods of Brent and Brown for Solving Nonlinear Simultaneous Equations
• Parallel Methods for Solving Nonlinear Block Bordered Systems of Equations
• Numerical Solution of Nonlinear Equations
• Iterative Methods for the Solution of Elliptic Problems on Regions Partitioned into Substructures
• A Quadratically Convergent Newton-Like Method Based Upon Gaussian Elimination
• Newton‐Type Decomposition Methods for Equations Arising in Network Analysis
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