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411 समाचार
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411 REFERENCE · Wikibooks

Linear Algebra and the C Language/a0o8

Reference material by Wikibooks contributors. This retains its source identity and is not 411 news reporting.

__NOTOC__ In numerical analysis, the condition number of a function measures how much the output value of the function can change for a small change in the input argument. Wikipedia: Condition number Condition number (Matrices) (eigen) The study of the conditioning of a matrix gives us a number that allows us to estimate whether the expected result can be considered correct. For some (symmetric) matrices, we can choose the quotient between the maximum eigenvalues ​​and the minimum eigenvalues ​​of A. The higher the quotient, the greater the rounding problems and the risk of disrupting calculations such as the inverse of a matrix. We will see through four examples the destructive effect of a poorly conditioned matrix. In the first example we will have In the second example we will have In the third example we will have In the fourth example we will have We will be able to observe significant calculation errors from the second example onwards. Four examples: Random values Random values Random values Random values