Computing Exact Componentwise Bounds on Solutions of Linear Systems with Interval Data isNP-Hard
SIAM Journal on Matrix Analysis and Applications
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
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Many problems of numerical computations are computationally intractable (or, to use a precise term from theoretical computer science, NP-hard; for precise definitions, see, e.g., [2]). From a practical viewpoint, this means that no feasible algorithm can solve all instances of such problems.