kondíciószámmal

The term "kondíciószámmal" is a Hungarian word that translates to "with a condition number" in English. It is primarily used in the field of numerical analysis and linear algebra to describe a property of a matrix or a system of linear equations.

The condition number quantifies how sensitive the solution of a system of linear equations is to small changes in the input data. A low condition number indicates that the system is well-conditioned, meaning that small perturbations in the coefficients or the right-hand side vector will result in small changes in the solution. Conversely, a high condition number signifies that the system is ill-conditioned, and even minor changes can lead to drastically different and potentially inaccurate solutions.

In essence, the condition number provides a measure of the reliability of a numerical computation. When solving a system of equations, a large condition number suggests that the problem is inherently difficult to solve accurately due to its sensitivity. This can be a significant issue in various scientific and engineering applications where precise results are crucial. Understanding and evaluating the condition number of a problem is therefore an important step in assessing the quality and trustworthiness of numerical results.