Accuracy of the Jacobi Method on Scaled Diagonally Dominant Symmetric Matrices
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Publication:5190222
DOI10.1137/070685993zbMath1192.65039OpenAlexW2054328793MaRDI QIDQ5190222
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
eigenvalueseigenvectorspositive definite symmetric matricesindefinite matriceseigenvalue perturbation boundsalmost diagonal matricestwo-sided Jacobi methodscaled diagonally dominant symmetric matrix
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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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