Accuracy of the Jacobi Method on Scaled Diagonally Dominant Symmetric Matrices

DOI10.1137/070685993zbMath1192.65039OpenAlexW2054328793MaRDI QIDQ5190222

Josip Matejaš

Publication date: 15 March 2010

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/070685993

zbMATH Keywords

eigenvalueseigenvectorspositive definite symmetric matricesindefinite matriceseigenvalue perturbation boundsalmost diagonal matricestwo-sided Jacobi methodscaled diagonally dominant symmetric matrix

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15)

Related Items (9)

Jacobi method for symmetric \(4 \times 4\) matrices converges for every cyclic pivot strategy ⋮ The high relative accuracy of the HZ method ⋮ Globally convergent Jacobi methods for positive definite matrix pairs ⋮ Accuracy of the Kogbetliantz method for scaled diagonally dominant triangular matrices ⋮ On the global convergence of the Jacobi method for symmetric matrices of order 4 under parallel strategies ⋮ Convergence to diagonal form of block Jacobi-type methods ⋮ On the complex Falk-Langemeyer method ⋮ On the global convergence of the block Jacobi method for the positive definite generalized eigenvalue problem ⋮ Accuracy of one step of the Falk-Langemeyer method

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