Development of linear functional arithmetic and its applications to the solution of interval linear systems with constraints
Dmitry A. Skorik
TL;DR
This paper introduces a new interval arithmetic designed to improve computational efficiency and accuracy in estimating expression ranges, with applications to solving constrained interval linear systems.
Contribution
It presents a novel interval arithmetic method that balances efficiency and estimation quality for solving constrained interval linear systems.
Findings
Enhanced accuracy in range estimation.
Improved computational efficiency.
Effective application to constrained systems.
Abstract
The work is devoted to the construction of a new interval arithmetic which would combine algorithmic efficiency and high quality estimation of the ranges of expressions.
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Taxonomy
TopicsNumerical Methods and Algorithms · Neural Networks and Applications · Statistical and Computational Modeling