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Computing eigenspaces with specified eigenvalues of a regular matrix pair (A, B) and condition estimation: theory, algorithms and software

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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-1-4612-4438-7_1openalex-snapshot
Matrix Perturbation Theory
inferredcites →https://doi.org/10.1007/978-94-015-8196-7_11openalex-snapshot
A Direct Method for Reordering Eigenvalues in the Generalized Real Schur form of a Regular Matrix Pair (A, B)
inferredcites →https://doi.org/10.1007/978-94-015-8196-7_23openalex-snapshot
Reordering Diagonal Blocks in Real Schur Form
inferredcites →https://doi.org/10.1007/bf01385757openalex-snapshot
Backward perturbation analysis of certain characteristic subspaces
inferredcites →https://doi.org/10.1007/bf01400115openalex-snapshot
On condition numbers and the distance to the nearest ill-posed problem
inferredcites →https://doi.org/10.1007/bf01990348openalex-snapshot
Perturbation theory and backward error forAX−XB=C
inferredcites →https://doi.org/10.1016/0024-3795(79)90140-xopenalex-snapshot
Kronecker's canonical form and the QZ algorithm
inferredcites →https://doi.org/10.1016/0024-3795(87)90108-xopenalex-snapshot
Computing stable eigendecompositions of matrix pencils
inferredcites →https://doi.org/10.1016/0024-3795(91)90212-fopenalex-snapshot
Perturbation expansions for invariant subspaces
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On swapping diagonal blocks in real Schur form
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Matrix perturbation theory
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Generalized Schur methods with condition estimators for solving the generalized Sylvester equation
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A Schur method for solving algebraic Riccati equations
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Factorizations of Transfer Functions
inferredcites →https://doi.org/10.1137/0710024openalex-snapshot
An Algorithm for Generalized Matrix Eigenvalue Problems
inferredcites →https://doi.org/10.1137/0720040openalex-snapshot
The Condition Number of Equivalence Transformations That Block Diagonalize Matrix Pencils
inferredcites →https://doi.org/10.1137/0902010openalex-snapshot
A Generalized Eigenvalue Approach for Solving Riccati Equations
inferredcites →https://doi.org/10.1137/0905023openalex-snapshot
Condition Estimates
inferredcites →https://doi.org/10.1137/1.9780898719604openalex-snapshot
LAPACK Users' Guide
inferredcites →https://doi.org/10.1137/1015095openalex-snapshot
Error and Perturbation Bounds for Subspaces Associated with Certain Eigenvalue Problems
inferredcites →https://doi.org/10.1137/s0895479893246212openalex-snapshot
A Perturbation Analysis of the Generalized Sylvester Equation $( AR - LB,DR - LE ) = ( C,F )$
inferredcites →https://doi.org/10.1145/152613.152615openalex-snapshot
The generalized Schur decomposition of an arbitrary pencil A–λB—robust software with error bounds and applications. Part I
inferredcites →https://doi.org/10.1145/152613.152616openalex-snapshot
The generalized Schur decomposition of an arbitrary pencil A–λB—robust software with error bounds and applications. Part II
inferredcites →https://doi.org/10.1145/152613.152617openalex-snapshot
On computing condition numbers for the nonsymmetric eigenproblem
inferredcites →https://doi.org/10.1145/225545.225552openalex-snapshot
LAPACK-style algorithms and software for solving the generalized Sylvester equation and estimating the separation between regular matrix pairs
inferredcites →https://doi.org/10.1145/321406.321416openalex-snapshot
On the Compatibility of a Given Solution With the Data of a Linear System
inferredcites →https://doi.org/10.1145/356012.356017openalex-snapshot
Algorithm 590: DSUBSP and EXCHQZ : FORTRAN Subroutines for Computing Deflating Subspaces with Specified Spectrum
inferredcites →https://doi.org/10.1145/63522.214391openalex-snapshot
Algorithm 674
inferredcites →https://doi.org/10.56021/9781421407944openalex-snapshot
Matrix Computations

What points at this work

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