Optimizing INTBIS on the CRAY Y-MP

DOI10.1007/BF02385257zbMath0837.65053OpenAlexW2155158030MaRDI QIDQ1904310

Joe Sheldon, Qing Yang, Chenyi Hu, Ralph Baker Kearfott

Publication date: 1 February 1996

Published in: Reliable Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02385257

zbMATH Keywords

parallel computationinterval arithmeticsoftware packageCray Y-MP supercomputerINTBISinterval Newton/generalized bisection methodvery large nonlinear systems

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Interval and finite arithmetic (65G30) Parallel numerical computation (65Y05)

Uses Software

• FORTRAN-XSC
• INTBIS
• INTLIB

Cites Work

• Bounding solutions of systems of equations using interval analysis
• Parallel all-row preconditioned interval linear solver for nonlinear equations on multiprocessors
• A general iterative sparse linear solver and its parallelization for interval Newton methods
• Abstract Generalized Bisection and a Cost Bound
• Some tests of generalized bisection
• A Fortran 90 environment for research and prototyping of enclosure algorithms for nonlinear equations and global optimization
• Algorithm 681: INTBIS, a portable interval Newton/bisection package
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