Glossary entry

Spanish term or phrase:

mal condicionamiento numérico

English translation:

numerical ill-conditioning

Added to glossary by Charles Davis
Sep 20, 2016 16:34
7 yrs ago
Spanish term

mal condicionamiento numérico

Spanish to English Science Mathematics & Statistics Water supply
From a report in Spanish from Spain for translation to British English. Regarding mathematical processes to understand water supply system behaviour.

"Además, el estado hidráulico adoptado debe cumplir la condición adicional de no presentar flujo nulo en ninguno de los tubos, ya que esta particularidad llevaría a una indeterminación matemática en las expresiones, produciendo un mal condicionamiento numérico de la matriz jacobiana."
Change log

Oct 4, 2016 04:16: Charles Davis Created KOG entry

Proposed translations

+2
31 mins
Selected

numerical ill-conditioning

On well-conditioned/ill-conditioned matrices, see:
https://en.wikipedia.org/wiki/Condition_number
https://es.wikipedia.org/wiki/Número_de_condición

"In this paper, rectangular form of the PMU current measurement is preferred to the polar form, as the jacobian matrix in case of polar current may become very large or undefined for certain operating conditions. This paper investigates the cause of numerical ill-conditioning of the HSEs due to the presence of PMU measurements. The differential weights assigned to the PMU and the conventional measurements are found to be the root cause for such numerical ill-conditioning."
http://www.iitk.ac.in/npsc/Papers/NPSC2014/1569987123.pdf
Peer comment(s):

agree Robert Carter : You got there before me, saludos!
9 mins
Well, there you go :) Thanks, Robert!
agree DLyons : Yup
9 days
Thanks, Donal!
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4 KudoZ points awarded for this answer. Comment: "Selected automatically based on peer agreement."
+1
39 mins

numerical ill-conditioning

From the examples I've found, given that your text refers directly to a Jacobian matrix, I imagine you could leave out the "numerical" part as it would be implicit, though as it's not my area, I can't be certain of that.

Ill-Conditioned Matrices
A matrix is considered to be ill-conditioned if it is very sensitive to small changes.

http://www.openelectrical.org/wiki/index.php?title=Ill-Condi...

In the field of numerical analysis, the condition number of a function with respect to an argument measures how much the output value of the function can change for a small change in the input argument. This is used to measure how sensitive a function is to changes or errors in the input, and how much error in the output results from an error in the input.
...
A problem with a low condition number is said to be well-conditioned, while a problem with a high condition number is said to be ill-conditioned.

https://en.wikipedia.org/wiki/Condition_number

The Ill-conditioning of infinite element stiffness matrices
http://www.sciencedirect.com/science/article/pii/S0898122101...

these exceptional populations often also cause errors in the algorithm due to numeric ill-conditioning.
http://digitalassets.lib.berkeley.edu/etd/ucb/text/Sprague_b...
Peer comment(s):

agree DLyons : Yup
9 days
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