Convergence of the complex block Jacobi methods under the generalized serial pivot strategies

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57)

Cites Work

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Block-oriented \(J\)-Jacobi methods for Hermitian matrices
Note on the quadratic convergence of the cyclic Jacobi process
Implicit standard Jacobi gives high relative accuracy
Normal matrices
On the convergence of cyclic Jacobi-like processes
Normal matrices: an update
On the global convergence of the Eberlein method for real matrices
On sharp quadratic convergence bounds for the serial Jacobi methods
On the convergence of the cyclic Jacobi method
A Jacobi eigenreduction algorithm for definite matrix pairs
On the global and cubic convergence of a quasi-cyclic Jacobi method
Asymptotic quadratic convergence of the parallel block-Jacobi EVD algorithm with dynamic ordering for Hermitian matrices
Relative perturbation theory for hyperbolic singular value problem
Highly accurate symmetric eigenvalue decomposition and hyperbolic SVD
Perturbation theory for the eigenvalues of factorised symmetric matrices
On the global convergence of the block Jacobi method for the positive definite generalized eigenvalue problem
On the quadratic convergence of the complex HZ method for the positive definite generalized eigenvalue problem
Convergence to diagonal form of block Jacobi-type methods
Convergence of the cyclic and quasi-cyclic block Jacobi methods
Asymptotic quadratic convergence of the serial block-Jacobi EVD algorithm for Hermitian matrices
Full block \(J\)-Jacobi method for Hermitian matrices
An estimate for the norms of certain cyclic Jacobi operators
On pairs of almost diagonal matrices
Convergence analysis of the parallel classical block Jacobi method for the symmetric eigenvalue problem
Performance of the parallel block Jacobi method with dynamic ordering for the symmetric eigenvalue problem
The Cyclic Jacobi Method for Computing the Principal Values of a Complex Matrix
New Fast and Accurate Jacobi SVD Algorithm. I
New Fast and Accurate Jacobi SVD Algorithm. II
A Global Convergence Proof for Cyclic Jacobi Methods with Block Rotations
Jacobi’s Method is More Accurate than QR
The Singular Value Decomposition: Anatomy of Optimizing an Algorithm for Extreme Scale
New Dynamic Orderings for the Parallel One–Sided Block-Jacobi SVD Algorithm
On the Convergence of the Jacobi Method for Arbitrary Orderings
On the convergence of complex Jacobi methods
Accuracy of the Jacobi Method on Scaled Diagonally Dominant Symmetric Matrices
On the Global Convergence of the Complex HZ Method
Asymptotic Quadratic Convergence of the Two-Sided Serial and Parallel Block-Jacobi SVD Algorithm
A proof of convergence for two parallel Jacobi SVD algorithms
Convergence of a Block‐Oriented Quasi‐Cyclic Jacobi Method
On Jacobi and Jacobi-Like Algorithms for a Parallel Computer
On Cyclic Jacobi Methods
Matrix theory. Basic results and techniques
Convergence of the Eberlein diagonalization method under generalized serial pivot strategies

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