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Condition numbers can also be defined for nonlinear functions, and can be computed using calculus.The condition number varies with the point; in some cases one can use the maximum (or supremum) condition number over the domain of the function or domain of the question as an overall condition number, while in other cases the condition number at a particular point is of more interest.
In mathematics, preconditioning is the application of a transformation, called the preconditioner, that conditions a given problem into a form that is more suitable for numerical solving methods. Preconditioning is typically related to reducing a condition number of the problem.
A consideration of the condition number of the Wilson matrix has spawned several interesting research problems relating to condition numbers of matrices in certain special classes of matrices having some or all the special features of the Wilson matrix. In particular, the following special classes of matrices have been studied: [1]
The number of non-zero singular values is equal to the rank of ... which is the system's "condition number" ...
Hilbert (1894) introduced the Hilbert matrix to study the following question in approximation theory: "Assume that I = [a, b], is a real interval.Is it then possible to find a non-zero polynomial P with integer coefficients, such that the integral
The number of North Koreans who have died varies according to who is providing the briefing. Ukraine’s president Volodymyr Zelensky puts the number as high as 3,000. Western officials claim ...
The condition number is computed by finding the maximum singular value divided by the minimum singular value of the design matrix. [10] In the context of collinear variables, the variance inflation factor is the condition number for a particular coefficient.
Mortgage rates are relatively steady as of Tuesday, January 21, 2025, with the 30-year fixed benchmark now averaging over 7.10% a day after President Donald Trump was sworn in for a second term in ...