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In numerical linear algebra, the Jacobi method is an iterative algorithm for determining the solutions of a strictly diagonally dominant system of linear equations. Each diagonal element is solved for, and an approximate value is plugged in. The process is then iterated until it converges. This algorithm is a stripped-down version of the Jacobi transformation method of matrix diagonalization. The method is named after Carl Gustav Jacob Jacobi.

Attributes	Values
rdf:type	Thing software
rdfs:label	Jacobi method (en)
rdfs:comment	In numerical linear algebra, the Jacobi method is an iterative algorithm for determining the solutions of a strictly diagonally dominant system of linear equations. Each diagonal element is solved for, and an approximate value is plugged in. The process is then iterated until it converges. This algorithm is a stripped-down version of the Jacobi transformation method of matrix diagonalization. The method is named after Carl Gustav Jacob Jacobi. (en)
differentFrom	Jacobi eigenvalue algorithm
sameAs	Jacobi method
dbp:wikiPageUsesTemplate	dbt:Authority_control dbt:Distinguish dbt:Math dbt:MathWorld dbt:Reflist dbt:Short_description dbt:Numerical_linear_algebra dbt:CFDWiki
Subject	Articles with example Python (programming language) code Articles with example pseudocode Relaxation (iterative methods) Numerical linear algebra
gold:hypernym	Algorithm
prov:wasDerivedFrom	http://en.wikipedia.org/wiki/Jacobi_method?oldid=1064783101&ns=0
Wikipage page ID	4047104 (xsd:integer)
page length (characters) of wiki page	12601 (xsd:nonNegativeInteger)
Wikipage revision ID	1064783101 (xsd:integer)
Link from a Wikipage to another Wikipage	Numerical linear algebra Belief propagation Carl Gustav Jacob Jacobi Articles with example Python (programming language) code Articles with example pseudocode Relaxation (iterative methods) Jacobi eigenvalue algorithm Numerical linear algebra Definite matrix Condition number Spectral radius Gauss–Seidel method System of linear equations Diagonal matrix Diagonally dominant matrix Successive over-relaxation Iterative method Matrix splitting dbr:10.,_-1.,_2.,_0.%5D,
has abstract	In numerical linear algebra, the Jacobi method is an iterative algorithm for determining the solutions of a strictly diagonally dominant system of linear equations. Each diagonal element is solved for, and an approximate value is plugged in. The process is then iterated until it converges. This algorithm is a stripped-down version of the Jacobi transformation method of matrix diagonalization. The method is named after Carl Gustav Jacob Jacobi. (en)
foaf:isPrimaryTopicOf	http://en.wikipedia.org/wiki/Jacobi_method
is Wikipage redirect of	Jacobi iterative method Jacoby's method Scheduled relaxation Jacobi method Jacobi's algorithm Jacobi's method Jacobi algorithm Jacobi iteration
is Link from a Wikipage to another Wikipage of	List of things named after Carl Gustav Jacob Jacobi Numerical analysis Artificial neural network Augmented Lagrangian method Carl Gustav Jacob Jacobi Jacobi Jacobi iterative method Jacoby's method Chebyshev iteration Horn–Schunck method List of mathematics-based methods List of numerical analysis topics Conjugate gradient method Contact dynamics Convergent matrix Coupled cluster Durand–Kerner method Eldon Hansen Gauss–Seidel method Index of electrical engineering articles Diagonally dominant matrix Hardy Cross Modified Richardson iteration Jacobi's algorithm Jacobi's method Jacobi algorithm Jacobi iteration Iterative Stencil Loops Iterative method Matrix splitting Aberth method
is known for of	Carl Gustav Jacob Jacobi
is foaf:primaryTopic of	http://en.wikipedia.org/wiki/Jacobi_method

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