Matrice mal conditionnée - Historique des versions

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2024-01-28T15:12:38Z

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	'''ill-conditioned matrix'''		'''ill-conditioned matrix'''

	~~<small>~~		==Sources==

	[https://deepai.org/machine-learning-glossary-and-terms/ill-conditioned-matrix Source : DeepAI.org ]		[https://deepai.org/machine-learning-glossary-and-terms/ill-conditioned-matrix Source : DeepAI.org ]

Pitpitt le 3 novembre 2021 à 00:43

2021-11-03T00:43:15Z

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	[http://gdt.oqlf.gouv.qc.ca/ficheOqlf.aspx?Id_Fiche=10426753 Source : Le grand dictionnaire terminologique ]		[http://gdt.oqlf.gouv.qc.ca/ficheOqlf.aspx?Id_Fiche=10426753 Source : Le grand dictionnaire terminologique ]

	[[Catégorie:~~DeepAI.org]]~~		[[Catégorie:GRAND LEXIQUE FRANÇAIS]]
	~~[[Catégorie:Publication~~]]

ClaireGorjux le 2 novembre 2021 à 15:04

2021-11-02T15:04:01Z

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	[[Catégorie:DeepAI.org]]		[[Catégorie:DeepAI.org]]
	[[Catégorie:~~vocabulary~~]]		[[Catégorie:Publication]]

ClaireGorjux le 2 novembre 2021 à 14:52

2021-11-02T14:52:00Z

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	~~==en construction==~~

	== Définition ==		== Définition ==
	~~In mathematics~~, a condition ~~number is a number representative of the change of an output proportionate to a change in the input of a function~~. ~~For example~~, if a small change in the input results in a small change in the output, the function produces a small condition number and is said to be well-conditioned. Alternatively, if a small change in the input results in a large change in the output, the function produces a large condition number and is defined as ill-conditioned.		En mathématiques, un nombre de condition est un nombre représentatif de la variation d'une sortie proportionnelle à une variation de l'entrée d'une fonction. Par exemple, si une petite variation de l'entrée entraîne une petite variation de la sortie, la fonction produit un petit nombre de condition et est dite bien conditionnée. Par contre, si une petite modification de l'entrée entraîne une grande modification de la sortie, la fonction produit un grand nombre de conditions et est définie comme étant mal conditionnée.

	~~Imagine an example linear equation in which Ax = b. The condition number is, very generally~~, ~~a representation of the rate at which the solution (x) changes with respect to changes in the value of (b). The~~ condition ~~number is a property of the matrix itself, not the algorithm~~. ~~If the condition number of a matrix is too large~~, ~~it is labeled as an ill-conditioned matrix. Condition numbers are representative of the accuracy of computing a matrix~~' ~~inverse. For example~~, ~~a well-conditioned matrix means its inverse can be computed with decent accuracy. Alternatively, an ill-conditioned matrix is not invertible and can have a condition number that is equal to infinity~~.

	== Français ==		== Français ==
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	== Anglais ==		== Anglais ==
	'''ill-conditioned matrix'''		'''ill-conditioned matrix'''


	<small>		<small>

			[https://deepai.org/machine-learning-glossary-and-terms/ill-conditioned-matrix Source : DeepAI.org ]

	[~~https~~://~~deepai~~.~~org~~/~~machine-learning-glossary-and-terms/ill-conditioned-matrix~~ Source : ~~DeepAI.org~~ ]		[http://gdt.oqlf.gouv.qc.ca/ficheOqlf.aspx?Id_Fiche=10426753 Source : Le grand dictionnaire terminologique ]

	[[Catégorie:DeepAI.org]]		[[Catégorie:DeepAI.org]]
	[[Catégorie:vocabulary]]		[[Catégorie:vocabulary]]

ClaireGorjux : ClaireGorjux a déplacé la page Ill-conditioned Matrix vers Matrice mal conditionnée

2021-11-02T14:50:22Z

ClaireGorjux a déplacé la page Ill-conditioned Matrix vers Matrice mal conditionnée

← Version précédente	Version du 2 novembre 2021 à 10:50
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JBM le 17 septembre 2021 à 15:28

2021-09-17T15:28:10Z

← Version précédente		Version du 17 septembre 2021 à 11:28
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	== Définition ==		== Définition ==
	~~XXXXXXXXX~~		In mathematics, a condition number is a number representative of the change of an output proportionate to a change in the input of a function. For example, if a small change in the input results in a small change in the output, the function produces a small condition number and is said to be well-conditioned. Alternatively, if a small change in the input results in a large change in the output, the function produces a large condition number and is defined as ill-conditioned.

			Imagine an example linear equation in which Ax = b. The condition number is, very generally, a representation of the rate at which the solution (x) changes with respect to changes in the value of (b). The condition number is a property of the matrix itself, not the algorithm. If the condition number of a matrix is too large, it is labeled as an ill-conditioned matrix. Condition numbers are representative of the accuracy of computing a matrix' inverse. For example, a well-conditioned matrix means its inverse can be computed with decent accuracy. Alternatively, an ill-conditioned matrix is not invertible and can have a condition number that is equal to infinity.

	== Français ==		== Français ==
	''' ~~XXXXXXXXX~~ '''		'''matrice mal conditionnée'''

	== Anglais ==		== Anglais ==
	''' ~~Ill~~-conditioned ~~Matrix~~'''		'''ill-conditioned matrix'''

	In mathematics, a condition number is a number representative of the change of an output proportionate to a change in the input of a function. For example, if a small change in the input results in a small change in the output, the function produces a small condition number and is said to be well-conditioned. Alternatively, if a small change in the input results in a large change in the output, the function produces a large condition number and is defined as ill-conditioned.

	Imagine an example linear equation in which Ax = b. The condition number is, very generally, a representation of the rate at which the solution (x) changes with respect to changes in the value of (b). The condition number is a property of the matrix itself, not the algorithm. If the condition number of a matrix is too large, it is labeled as an ill-conditioned matrix. Condition numbers are representative of the accuracy of computing a matrix' inverse. For example, a well-conditioned matrix means its inverse can be computed with decent accuracy. Alternatively, an ill-conditioned matrix is not invertible and can have a condition number that is equal to infinity.

			<small>

	~~<small>~~

	[https://deepai.org/machine-learning-glossary-and-terms/ill-conditioned-matrix Source : DeepAI.org ]		[https://deepai.org/machine-learning-glossary-and-terms/ill-conditioned-matrix Source : DeepAI.org ]

	[[Catégorie:DeepAI.org]]		[[Catégorie:DeepAI.org]]

	[[Catégorie:vocabulary]]		[[Catégorie:vocabulary]]

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2020-12-15T23:25:29Z

Page créée avec « ==en construction== == Définition == XXXXXXXXX == Français == ''' XXXXXXXXX ''' == Anglais == ''' Ill-conditioned Matrix''' In mathematics, a condition number is a n... »

Nouvelle page

==en construction==

== Définition ==
XXXXXXXXX

== Français ==
''' XXXXXXXXX '''

== Anglais ==
''' Ill-conditioned Matrix'''

In mathematics, a condition number is a number representative of the change of an output proportionate to a change in the input of a function. For example, if a small change in the input results in a small change in the output, the function produces a small condition number and is said to be well-conditioned. Alternatively, if a small change in the input results in a large change in the output, the function produces a large condition number and is defined as ill-conditioned.

Imagine an example linear equation in which Ax = b. The condition number is, very generally, a representation of the rate at which the solution (x) changes with respect to changes in the value of (b). The condition number is a property of the matrix itself, not the algorithm. If the condition number of a matrix is too large, it is labeled as an ill-conditioned matrix. Condition numbers are representative of the accuracy of computing a matrix' inverse. For example, a well-conditioned matrix means its inverse can be computed with decent accuracy. Alternatively, an ill-conditioned matrix is not invertible and can have a condition number that is equal to infinity.

<small>

[https://deepai.org/machine-learning-glossary-and-terms/ill-conditioned-matrix Source : DeepAI.org ]

[[Catégorie:DeepAI.org]]

[[Catégorie:vocabulary]]