Van der Waerden notation - Revision history

en>Rjwilmsi: /* top */ 10.1073/pnas.19.4.462

2014-12-14T14:43:33Z

top: 10.1073/pnas.19.4.462

← Older revision		Revision as of 16:43, 14 December 2014
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	~~In [[mathematics]]~~, ~~the '''pseudospectrum''' of an [[Operator (mathematics)\|operator]]~~ is ~~a [[Set (mathematics)\|set]] containing~~ the ~~[[spectrum of an operator\|spectrum]]~~ of the ~~operator and the numbers that are "almost" eigenvalues. Knowledge of~~ the ~~pseudospectrum can be particularly useful~~ for ~~understanding~~ [~~[normal operator\|non~~-~~normal operator]]s and their eigenfunctions.~~		Hi there, I am Alyson Boon even though it is not the name on my beginning certificate. One of the very best issues in the globe for him is performing best psychic readings - [http://www.prayerarmor.com/uncategorized/dont-know-which-kind-of-hobby-to-take-up-read-the-following-tips/ prayerarmor.com] - ballet and he'll be starting something else alongside with it. Ohio is exactly where his home is and his family members enjoys it. Credit [http://breenq.com/index.php?do=/profile-1144/info/ good psychic] authorising is how he makes cash.<br><br>Also visit my webpage; accurate psychic predictions ([http://fashionlinked.com/index.php?do=/profile-13453/info/ simply click the next document])

	~~The pseudospectrum~~ of ~~a matrix ''A'' for a given ε consists of all eigenvalues of matrices which are ε~~-~~close~~ to ~~''A'':~~
	~~:<math>\Lambda_\epsilon(A) = \{\lambda \in \mathbb{C} \mid \exists x \in \mathbb{C}^n \setminus \{0\}, \exists E \in \mathbb{C}^{n \times n} \colon (A+E)x = \lambda x, \\|E\\| \leq \epsilon \}~~.~~</math>~~

	~~[[Eigenvalue algorithm\|Numerical algorithms which calculate the eigenvalues of a matrix~~]~~] give only approximate results due to rounding~~ and ~~other errors. These errors can~~ be ~~described~~ with ~~the matrix ''E''~~.

	~~==See also==~~

	~~[[Pseudo-spectral method]]~~

	~~== References ==~~
	* Pseudospectra Gateway / Embree and ~~Trefethen~~ [http://~~web~~.~~comlab~~.~~ox.ac.uk~~/~~pseudospectra~~/]
	[~~[Category~~:~~Numerical linear algebra~~]]

	~~{{Numerical linear algebra}}~~

en>Mgvongoeden: /* References */ a ref added

2013-06-05T12:27:01Z

References: a ref added

← Older revision		Revision as of 14:27, 5 June 2013
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	~~Alyson is what my spouse loves to contact me but I don~~'~~t like when individuals use my full name. Distributing production~~ is ~~exactly where my primary earnings arrives from~~ and ~~it's something I truly appreciate~~. ~~Ohio is where her house~~ [~~http://help.ksu.edu.sa/node/65129 telephone psychic~~] is. ~~What me and my family members adore is~~ to ~~climb but I~~'~~m thinking on starting some thing new.~~<br><br>~~Feel free~~ to ~~surf to my web [http://www~~.~~taehyuna~~.~~net/xe/?document_srl~~=~~78721 free psychic~~] ~~blog: certified psychics (~~[http://~~m-card~~.co.kr/xe/~~mcard_2013_promote01/29877 company website~~])		In [[mathematics]], the '''pseudospectrum''' of an [[Operator (mathematics)\|operator]] is a [[Set (mathematics)\|set]] containing the [[spectrum of an operator\|spectrum]] of the operator and the numbers that are "almost" eigenvalues. Knowledge of the pseudospectrum can be particularly useful for understanding [[normal operator\|non-normal operator]]s and their eigenfunctions.

			The pseudospectrum of a matrix ''A'' for a given ε consists of all eigenvalues of matrices which are ε-close to ''A'':
			:<math>\Lambda_\epsilon(A) = \{\lambda \in \mathbb{C} \mid \exists x \in \mathbb{C}^n \setminus \{0\}, \exists E \in \mathbb{C}^{n \times n} \colon (A+E)x = \lambda x, \\|E\\| \leq \epsilon \}.</math>

			[[Eigenvalue algorithm\|Numerical algorithms which calculate the eigenvalues of a matrix]] give only approximate results due to rounding and other errors. These errors can be described with the matrix ''E''.

			==See also==

			[[Pseudo-spectral method]]

			== References ==
			* Pseudospectra Gateway / Embree and Trefethen [http://web.comlab.ox.ac.uk/pseudospectra/]
			[[Category:Numerical linear algebra]]

			{{Numerical linear algebra}}

en>Mgvongoeden: /* Hatted indices */ Dirac conjugate

2012-06-28T16:26:32Z

Hatted indices: Dirac conjugate

New page

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