We can actually define such an operator for each polynomial basis but its condition number is greater than the optimal Lebesgue constant for most convenient bases.
32.
The condition number of the Vandermonde matrix may be large, causing large errors when computing the coefficients if the system of equations is solved using Gaussian elimination.
33.
This deconvolution technique, because of its direct inversion of the PSF which typically has poor matrix condition number, amplifies noise and creates an imperfect deblurred image.
34.
Second, what can I say about the condition number ( let's say the 2-norm . . . using the ratio of the singular values )?
35.
An important factor in the performance of the matrix inversion algorithm is the condition number of A \ kappa, which represents the ratio of A's largest and smallest eigenvalues.
36.
The condition number is an application of the derivative, and is formally defined as the value of the asymptotic worst-case relative change in output for a relative change in input.
37.
*PM : matrix condition number is greater or equal to 1, id = 7324-- WP guess : matrix condition number is greater or equal to 1-- Status:
38.
*PM : matrix condition number is greater or equal to 1, id = 7324-- WP guess : matrix condition number is greater or equal to 1-- Status:
39.
The forward and backward error are related by the condition number : the forward error is at most as big in magnitude as the condition number multiplied by the magnitude of the backward error.
40.
The forward and backward error are related by the condition number : the forward error is at most as big in magnitude as the condition number multiplied by the magnitude of the backward error.
