About: Jacobi operator

Facets (new session)
Description
Metadata
Settings
- Rule:
- Inverse Functional Properties:
- "Same As":

About: Jacobi operator Goto Sponge NotDistinct Permalink

An Entity of Type : dbo:Company, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)
QRcode icon

http://dbpedia.demo.openlinksw.com/describe/?url=http%3A%2F%2Fdbpedia.org%2Fresource%2FJacobi_operator&invfp=IFP_OFF&sas=SAME_AS_OFF

A Jacobi operator, also known as Jacobi matrix, is a symmetric linear operator acting on sequences which is given by an infinite tridiagonal matrix. It is commonly used to specify systems of orthonormal polynomials over a finite, positive Borel measure. This operator is named after Carl Gustav Jacob Jacobi. The name derives from a theorem from Jacobi, dating to 1848, stating that every symmetric matrix over a principal ideal domain is congruent to a tridiagonal matrix.

Attributes	Values
rdf:type	company
rdfs:label	Jacobiho matice (třídiagonální) (cs) Jacobi-Operator (de) Operador de Jacobi (es) Jacobi operator (en)
rdfs:comment	Jacobiho matice je reálná symetrická třídiagonální matice s kladnými prvky na první pod- a naddiagonále. (cs) Ein Jacobi-Operator, nach Carl Gustav Jakob Jacobi (1804–1851), ist ein symmetrischer linearer Operator, der auf Folgen operiert und der in der durch Kronecker-Deltas gegebenen Standardbasis durch eine tridiagonale Matrix, die Jacobi-Matrix, dargestellt wird. (de) Un operador de Jacobi, también llamado matriz de Jacobi, es un operador lineal simétrico que actúa sobre sucesiones, dado por una matriz tridiagonal infinita. Se suele usar para determinar sistemas de polinomios ortonormales con respecto de una positiva y finita. Lleva el nombre de Carl Gustav Jakob Jacobi. El nombre proviene de un teorema de Jacobi, que data de 1848 y establece que toda matriz simétrica sobre un dominio de ideales principales es congruente a una matriz tridiagonal. (es) A Jacobi operator, also known as Jacobi matrix, is a symmetric linear operator acting on sequences which is given by an infinite tridiagonal matrix. It is commonly used to specify systems of orthonormal polynomials over a finite, positive Borel measure. This operator is named after Carl Gustav Jacob Jacobi. The name derives from a theorem from Jacobi, dating to 1848, stating that every symmetric matrix over a principal ideal domain is congruent to a tridiagonal matrix. (en)
dcterms:subject	Hilbert space Operator theory Recurrence relations
Wikipage page ID	28868152 (xsd:integer)
Wikipage revision ID	1096457112 (xsd:integer)
Link from a Wikipage to another Wikipage	Carl Gustav Jacob Jacobi Principal ideal domain Tridiagonal matrix Bergman space Holomorphic functions Hilbert space Characteristic polynomial Operator theory Orthonormal Symmetric matrix Eigenvalue Gaussian quadrature Linear operator Lax pair Recurrence relations Recurrence relation Hilbert space Hessenberg matrix Toda lattice Borel measure Square-integrable Orthogonal polynomials Sequence Shift operator Spectral measure Schrödinger operator Positive integers dbr:Bergman_polynomial dbr:Hessenberg_operator
Link from a Wikipage to an external page	https://www.mat.univie.ac.at/~gerald/ftp/book-jac/%7Cisbn=0-8218-1940-2
sameAs	Jacobi operator Jacobi operator Jacobi operator Jacobi operator Jacobi operator Jacobi operator
dbp:wikiPageUsesTemplate	dbt:Citation dbt:Redir dbt:Reflist dbt:Eom
id	Jacobi_matrix (en)
title	Jacobi matrix (en)
has abstract	Jacobiho matice je reálná symetrická třídiagonální matice s kladnými prvky na první pod- a naddiagonále. (cs) Ein Jacobi-Operator, nach Carl Gustav Jakob Jacobi (1804–1851), ist ein symmetrischer linearer Operator, der auf Folgen operiert und der in der durch Kronecker-Deltas gegebenen Standardbasis durch eine tridiagonale Matrix, die Jacobi-Matrix, dargestellt wird. (de) Un operador de Jacobi, también llamado matriz de Jacobi, es un operador lineal simétrico que actúa sobre sucesiones, dado por una matriz tridiagonal infinita. Se suele usar para determinar sistemas de polinomios ortonormales con respecto de una positiva y finita. Lleva el nombre de Carl Gustav Jakob Jacobi. El nombre proviene de un teorema de Jacobi, que data de 1848 y establece que toda matriz simétrica sobre un dominio de ideales principales es congruente a una matriz tridiagonal. (es) A Jacobi operator, also known as Jacobi matrix, is a symmetric linear operator acting on sequences which is given by an infinite tridiagonal matrix. It is commonly used to specify systems of orthonormal polynomials over a finite, positive Borel measure. This operator is named after Carl Gustav Jacob Jacobi. The name derives from a theorem from Jacobi, dating to 1848, stating that every symmetric matrix over a principal ideal domain is congruent to a tridiagonal matrix. (en)
gold:hypernym	Operator
prov:wasDerivedFrom	wikipedia-en:Jacobi_operator?oldid=1096457112&ns=0
page length (characters) of wiki page	4879 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Jacobi_operator
is Link from a Wikipage to another Wikipage of	Carl Gustav Jacob Jacobi Jacobi matrix Jacobi matrix (operator) Gerald Teschl Lieb–Thirring inequality Function composition Favard's theorem Transfer operator Hessenberg matrix Toda lattice List of things named after Carl Gustav Jacob Jacobi Variation diminishing property
is Wikipage redirect of	Jacobi matrix (operator)
is known for of	Carl Gustav Jacob Jacobi
is known for of	Carl Gustav Jacob Jacobi
is foaf:primaryTopic of	wikipedia-en:Jacobi_operator

Faceted Search & Find service v1.17_git139 as of Feb 29 2024

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 08.03.3330 as of Mar 19 2024, on Linux (x86_64-generic-linux-glibc212), Single-Server Edition (378 GB total memory, 67 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software