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Parallel algorithms for triangular sylvester equations: Design, scheduling and scalability issues

https://doi.org/10.1007/bfb0095366
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What this work says

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

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/bf01990348openalex-snapshot
Perturbation theory and backward error forAX−XB=C
inferredcites →https://doi.org/10.1007/bf02142813openalex-snapshot
Computing eigenspaces with specified eigenvalues of a regular matrix pair (A, B) and condition estimation: theory, algorithms and software
inferredcites →https://doi.org/10.1016/0024-3795(89)90705-2openalex-snapshot
Parallel and large-scale matrix computations in control: some ideas
inferredcites →https://doi.org/10.1016/0024-3795(93)90286-wopenalex-snapshot
On swapping diagonal blocks in real Schur form
inferredcites →https://doi.org/10.1016/s0167-6911(82)80009-1openalex-snapshot
Pole assignment via Sylvester's equation
inferredcites →https://doi.org/10.1109/fmpc.1992.234898openalex-snapshot
ScaLAPACK: a scalable linear algebra library for distributed memory concurrent computers
inferredcites →https://doi.org/10.1137/1015095openalex-snapshot
Error and Perturbation Bounds for Subspaces Associated with Certain Eigenvalue Problems
inferredcites →https://doi.org/10.1137/1037042openalex-snapshot
Software Libraries for Linear Algebra Computations on High Performance Computers
inferredcites →https://doi.org/10.1137/s0895479893244389openalex-snapshot
Condition Estimation for Matrix Functions via the Schur Decomposition
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/10.1145/152613.152617openalex-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

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/11558958_87openalex-snapshot
Evaluating Parallel Algorithms for Solving Sylvester-Type Matrix Equations: Direct Transformation-Based Versus Iterative Matrix-Sign-Function-Based Methods
inferred← citeshttps://doi.org/10.1007/3-540-48051-x_30openalex-snapshot
Parallel Two-Sided Sylvester-Type Matrix Equation Solvers for SMP Systems Using Recursive Blocking
inferred← citeshttps://doi.org/10.1007/3-540-48051-x_32openalex-snapshot
Parallel and Blocked Algorithms for Reduction of a Regular Matrix Pair to Hessenberg-Triangular and Generalized Schur Forms
inferred← citeshttps://doi.org/10.1007/3-540-70734-4_10openalex-snapshot
Parallel Triangular Sylvester-Type Matrix Equation Solvers for SMP Systems Using Recursive Blocking
inferred← citeshttps://doi.org/10.1007/978-3-540-27866-5_97openalex-snapshot
Combining Explicit and Recursive Blocking for Solving Triangular Sylvester-Type Matrix Equations on Distributed Memory Platforms
inferred← citeshttps://doi.org/10.1007/978-3-540-45209-6_110openalex-snapshot
Parallel ScaLAPACK-Style Algorithms for Solving Continuous-Time Sylvester Matrix Equations
inferred← citeshttps://doi.org/10.1007/978-3-540-75755-9_16openalex-snapshot
Parallel Algorithms and Condition Estimators for Standard and Generalized Triangular Sylvester-Type Matrix Equations
inferred← citeshttps://doi.org/10.1137/130912839openalex-snapshot
Computational Methods for Linear Matrix Equations
inferred← citeshttps://doi.org/10.1137/s0036144503428693openalex-snapshot
Recursive Blocked Algorithms and Hybrid Data Structures for Dense Matrix Library Software
inferred← citeshttps://doi.org/10.1145/1824801.1824810openalex-snapshot
Parallel Solvers for Sylvester-Type Matrix Equations with Applications in Condition Estimation, Part I
inferred← citeshttps://doi.org/10.1145/592843.592845openalex-snapshot
Recursive blocked algorithms for solving triangular systems—Part I
inferred← citeshttps://doi.org/10.1201/b18589-12openalex-snapshot
Rectangular NSEs
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