Glossary entry (derived from question below)
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."
"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."
Proposed translations
(English)
4 +2 | numerical ill-conditioning | Charles Davis |
3 +1 | numerical ill-conditioning | Robert Carter |
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
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
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...
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...
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