what is the condition number of a matrix?
www.phys.uconn.edu › downloads › condnumber1 Condition number for inversion A condition number for a matrix measures how sensitive the answer is to perturbations in the input data and to roundoff errors made during the solution process. I should point out that there are many different condition numbers. In general, a condition number applies not only to a particular matrix, but also ...
Condition number - Wikipedia
https://en.wikipedia.org/wiki/Condition_numberFor example, the condition number associated with the linear equation Ax = b gives a bound on how inaccurate the solution x will be after approximation. Note that this is before the effects of round-off error are taken into account; conditioning is a property of the matrix, not the algorithm or floating-pointaccuracy of the computer used to solve the corresponding system. In particular, one should think of the condition number as being (very roughly) the rate at which the solution x will …
Condition Number Calculator
https://www.omnicalculator.com/math/condition-number14.12.2021 · The condition number of a diagonal matrix D is the ratio between the largest and smallest elements on its diagonal, i.e., cond(D) = max(D ii) / min(D ii).It's important to note that this is only true when using the matrix 2-norm for computing cond(D).This is largely because D's diagonal elements are its eigenvalues.