ill-conditioned problem
[/ɪl ˈkɒndɪʃənd ˈprɒbləm/]
nounpl: ill-conditioned problems
problema mal-condicionado
1. A mathematical or computational problem where small changes in input data lead to large changes in the solution, making it numerically unstable and difficult to solve accurately
Solving the linear system with a nearly singular matrix is an ill-conditioned problem that requires careful numerical handling.
Resolver o sistema linear com uma matriz quase singular é um problema mal-condicionado que requer tratamento numérico cuidadoso.
2. A problem characterized by a high condition number, indicating sensitivity to perturbations and rounding errors
The ill-conditioned problem resulted in significant computational errors despite using high-precision arithmetic.
O problema mal-condicionado resultou em erros computacionais significativos apesar do uso de aritmética de alta precisão.
This is specialized mathematical terminology used primarily in academic and professional contexts in both Brazil and the USA. The term is essential in numerical analysis, scientific computing, and engineering disciplines. Brazilian universities teach this concept using the same Portuguese term as Portugal, making it a standardized technical vocabulary across Portuguese-speaking academic communities.
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