Convergence to diagonal form of block Jacobi-type methods
From MaRDI portal
Publication:2260881
DOI10.1007/s00211-014-0647-8zbMath1326.65046OpenAlexW2171009616MaRDI QIDQ2260881
Publication date: 12 March 2015
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00211-014-0647-8
Related Items
Asymptotic quadratic convergence of the parallel block-Jacobi EVD algorithm with dynamic ordering for Hermitian matrices ⋮ Jacobi method for symmetric \(4 \times 4\) matrices converges for every cyclic pivot strategy ⋮ Asymptotic quadratic convergence of the serial block-Jacobi EVD algorithm for Hermitian matrices ⋮ Globally convergent Jacobi methods for positive definite matrix pairs ⋮ Three-level parallel J-Jacobi algorithms for Hermitian matrices ⋮ On the global convergence of the Jacobi method for symmetric matrices of order 4 under parallel strategies ⋮ On the complex Falk-Langemeyer method ⋮ On the global convergence of the block Jacobi method for the positive definite generalized eigenvalue problem ⋮ On the convergence of complex Jacobi methods ⋮ Asymptotic Quadratic Convergence of the Two-Sided Serial and Parallel Block-Jacobi SVD Algorithm
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Three-level parallel J-Jacobi algorithms for Hermitian matrices
- Accuracy of the Kogbetliantz method for scaled diagonally dominant triangular matrices
- A GPU-based hyperbolic SVD algorithm
- Novel modifications of parallel Jacobi algorithms
- A contribution to the theory and practice of the block Kogbetliantz method for computing the SVD
- Block-oriented \(J\)-Jacobi methods for Hermitian matrices
- Accuracy of two SVD algorithms for \(2\times 2\) triangular matrices
- Implicit standard Jacobi gives high relative accuracy
- On the convergence of cyclic Jacobi-like processes
- 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 note on a one-sided Jacobi algorithm
- A Jacobi eigenreduction algorithm for definite matrix pairs
- On the global and cubic convergence of a quasi-cyclic Jacobi method
- On efficient implementations of Kogbetliantz's algorithm for computing the singular value decomposition
- Linear convergence of the row cyclic Jacobi and Kogbetliantz methods
- Highly accurate symmetric eigenvalue decomposition and hyperbolic SVD
- Computing the singular value decomposition with high relative accuracy
- Full block \(J\)-Jacobi method for Hermitian matrices
- Accelerating the SVD block-Jacobi method
- Solution to the Eigenproblem by a norm reducing Jacobi type method
- An estimate for the norms of certain cyclic Jacobi operators
- Solution of linear equations by diagonalization of coefficients matrix
- Inversion of Matrices by Biorthogonalization and Related Results
- The Cyclic Jacobi Method for Computing the Principal Values of a Complex Matrix
- A Jacobi-Like Method for the Automatic Computation of Eigenvalues and Eigenvectors of an Arbitrary 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
- On Jacobi Methods for Singular Value Decompositions
- On Parallel Jacobi Orderings
- A One-Sided Jacobi Algorithm for Computing the Singular Value Decomposition on a Vector Computer
- On the Quadratic Convergence of the Falk–Langemeyer Method
- Jacobi’s Method is More Accurate than QR
- On Rank-Revealing Factorisations
- An Orthogonal High Relative Accuracy Algorithm for the Symmetric Eigenproblem
- On the Convergence of the Cyclic Jacobi Method for Parallel Block Orderings
- Accurate Eigensystem Computations by Jacobi Methods
- On the Convergence of the Jacobi Method for Arbitrary Orderings
- Efficient Algorithms for Computing a Strong Rank-Revealing QR Factorization
- Accuracy of the Jacobi Method on Scaled Diagonally Dominant Symmetric Matrices
- 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