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QR algorithm

In numerical linear algebra, the QR algorithm or QR iteration is an eigenvalue algorithm: that is, a procedure to calculate the eigenvalues and eigenvectors of a matrix. The QR algorithm was developed in the late 1950s by John G. F. Francis and by Vera N. Kublanovskaya, working independently. The basic idea is to perform a QR decomposition, writing the…

History, The practical QR algorithm & Visualization

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The practical QR algorithm

Visualization

The implicit QR algorithm

Interpretation and convergence

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QR algorithm

Nodes57
Edges56
Triples93
Avg. degree1.96
Density0.035088
Components1

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QR algorithm

Top relations

related to history · 16
QR algorithm → After, Ak, Alexander Aitken, Eduard Stiefel, ETH Zurich, Heinz Rutishauser, However, LkUk, LR, LU, QR, Rutishauser, Stiefel, The LR, The QR, UkLk
related to Finding eigenvalues versus finding eigenvectors · 13
QR algorithm → An, As, But, Figure, It's, LR, On, QR, Recall, The, Therefore, This, We
related to Other variants · 13
QR algorithm → DBDSQR, Demmel, DGESVD, Golub, Golub-Kahan-Reinsch, Householder, Kahan, One, QR, The LAPACK, The QR, This, Together
related to Using Hessenberg form · 10
QR algorithm → Ak, Determining, For QR, Hessenberg, Householder, If, In, Moreover, QR, This
related to Visualization · 10
QR algorithm → Another, Eventually, Figure, If, In, LR, Note, Observe, QR, The
related to Interpretation and convergence · 9
QR algorithm → AQ, For, Instead, QR, QΛ, Recall, The, The QR, Thus
related to The implicit QR algorithm · 9
QR algorithm → As, Hessenberg, Householder, In, QAQ, QR, The, Then, This
related to External links · 8
QR algorithm → Eigenvalue, Library, Notes, OlverModule, Peter, PlanetMath, QR, QR MethodC
related to Iteration phase · 5
QR algorithm → Hessenberg, If, In, QR, The

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matrix displaystyle qr algorithm eigenvalues iteration eigenvalue convergence symmetric ellipse hessenberg form diagonal case one n-1 upper times decomposition step

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SubjectPredicateObjectConfidenceSrc
QR algorithmrelated to External linksEigenvalue0.60section
QR algorithmrelated to External linksPlanetMath0.60section
QR algorithmrelated to External linksNotes0.60section
QR algorithmrelated to External linksQR0.60section
QR algorithmrelated to External linksPeter0.60section
QR algorithmrelated to External linksOlverModule0.60section
QR algorithmrelated to External linksQR MethodC0.60section
QR algorithmrelated to External linksLibrary0.60section
QR algorithmrelated to Finding eigenvalues versus finding eigenvectorsIt's0.60section
QR algorithmrelated to Finding eigenvalues versus finding eigenvectorsThis0.60section
QR algorithmrelated to Finding eigenvalues versus finding eigenvectorsOn0.60section
QR algorithmrelated to Finding eigenvalues versus finding eigenvectorsThe0.60section

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