Bounds for the expected value of the condition number introduced by Renegar [1994b, 1995a, 1995b] follow.doi:10.1007/s00211-002-0385-1Felipe CuckerMario WscheborSpringer-VerlagNumerische MathematikCucker, F.; Wschebor, (2003) M. "On the Expected Condition Number of Linear Programming Problems"...
A contribution to the condition number of the total least squares problem, arXiv:1101.2342 [math.NA - Jia, Li - 2011Z. Jia and B. Li, A contribution to the condition number of the total least squares problem, arXiv:1101.2342 [math.NA], (2011)....
A problem with a low condition number is said to bewell-conditioned, while a problem with a high condition number is said to beill-conditioned. The condition number is a property of the problem. Paired with the problem are any number of algorithms that can be used to solve the problem, t...
Condition number plays an important role in perturbation analysis, the latter is a tool to judge whether a numerical solution makes sense, especially for ill-posed problems. In this paper, perturbation analysis of the Tikhonov regularization of total least squares problem (TRTLS) is considered. The...
In this paper we study the problem of minimizing condition numbers over a compact convex subset of the cone of symmetric positive semidefinite $n imes n$ matrices. We show that the condition number is a Clarke regular strongly pseudoconvex function. We prove that a global solution of the probl...
The detection of multicollinearity in econometric models is usualy based on the so-called condition number (CN) of the data matrix X . However, the computation of the CN, which is the greater condition index, gives misleading results in particular cases and many commercial computer packages produ...
In recent years, an increasing number of teenagers have the problem of obesity(肥胖). This problem shouldn’t be ignored. It’s harmful disorder that can cause a number of health problems in children.Many factors in life play an important role in developing obesity among teenagers. Generally,...
Therefore, it is important to consider the condition number when selecting a suitable algorithm for a particular problem. 5. Can the condition number be used to compare different functions? Yes, the condition number can be used to compare the sensitivity of different functions. A lower condition ...
Determine the number of distinct seven-letter codes (where the letters are chosen from the English alphabet)such that no letters are repeated in the code and the letters A and B are not next to each other.This is a difficult problem, so here are some questions to help you solve it.(a...
Eigenvalue and condition number estimates for preconditioned iteration matrices provide the information required to estimate the rate of convergence of iterative methods, such as preconditioned conjugate gradient methods. In recent years various estimates have been derived for (perturbed) modified (block) ...