mal condicionamiento numérico

English translation: numerical ill-conditioning

GLOSSARY ENTRY (DERIVED FROM QUESTION BELOW)
Spanish term or phrase:mal condicionamiento numérico
English translation:numerical ill-conditioning
Entered by: Charles Davis

16:34 Sep 20, 2016
Spanish to English translations [PRO]
Science - Mathematics & Statistics / Water supply
Spanish term or phrase: mal condicionamiento numérico
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."
BristolTEc
Ecuador
Local time: 02:16
numerical ill-conditioning
Explanation:
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
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Charles Davis
Spain
Local time: 08:16
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Selected automatically based on peer agreement.
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Summary of answers provided
4 +2numerical ill-conditioning
Charles Davis
3 +1numerical ill-conditioning
Robert Carter


  

Answers


31 mins   confidence: Answerer confidence 4/5Answerer confidence 4/5 peer agreement (net): +2
numerical ill-conditioning


Explanation:
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


Charles Davis
Spain
Local time: 08:16
Native speaker of: English
PRO pts in category: 44
Grading comment
Selected automatically based on peer agreement.

Peer comments on this answer (and responses from the answerer)
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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39 mins   confidence: Answerer confidence 3/5Answerer confidence 3/5 peer agreement (net): +1
numerical ill-conditioning


Explanation:
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...


Robert Carter
Mexico
Local time: 01:16
Native speaker of: Native in EnglishEnglish
PRO pts in category: 12

Peer comments on this answer (and responses from the answerer)
agree  DLyons: Yup
9 days
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