Spectral division methods for block generalized Schur decompositions
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Publication:4813611
DOI10.1090/S0025-5718-04-01667-9zbMath1054.65034MaRDI QIDQ4813611
Enrique S. Quintana-Ortí, Xiaobai Sun
Publication date: 13 August 2004
Published in: Mathematics of Computation (Search for Journal in Brave)
comparison of methodsnumerical experimentsgeneralized eigenproblemmatrix pairsblock generalized Schur decompositionsmatrix sign and disc functionsspectral divide-and-conquer algorithmsspectral division methodsubspace extraction technique
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Uses Software
Cites Work
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- Rang revealing QR factorizations
- On stabilization methods of descriptor systems
- AB-algorithm and its modifications for the spectral problems of linear pencils of matrices
- Circular dichotomy of the matrix spectrum
- Parallel algorithm for solving some spectral problems of linear algebra
- Solving stable generalized Lyapunov equations with the matrix sign function
- An inverse free parallel spectral divide and conquer algorithm for nonsymmetric eigenproblems
- A generalization of the matrix-sign-function solution for algebraic Riccati equations
- Linear model reduction and solution of the algebraic Riccati equation by use of the sign function†
- Rank-Revealing QR Factorizations and the Singular Value Decomposition
- Computing rank-revealing QR factorizations of dense matrices
- The Spectral Decomposition of Nonsymmetric Matrices on Distributed Memory Parallel Computers
- Using the Matrix Sign Function to Compute Invariant Subspaces
- A BLAS-3 Version of the QR Factorization with Column Pivoting
- Rational Iterative Methods for the Matrix Sign Function
- On the Sensitivity of the Eigenvalue Problem $Ax = \lambda Bx$
- An Algorithm for Generalized Matrix Eigenvalue Problems
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