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11/08/2022
Numerical analysis of Givens rotation
Generating 2-by-2 unitary matrices in floating-precision arithmetic is a...
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08/03/2022
A new deflation criterion for the QZ algorithm
The QZ algorithm computes the Schur form of a matrix pencil. It is an it...
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07/19/2022
Proposed Consistent Exception Handling for the BLAS and LAPACK
Numerical exceptions, which may be caused by overflow, operations like d...
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02/21/2022
I/O-Optimal Algorithms for Symmetric Linear Algebra Kernels
In this paper, we consider two fundamental symmetric kernels in linear a...
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04/02/2021
Low-Synch Gram-Schmidt with Delayed Reorthogonalization for Krylov Solvers
The parallel strong-scaling of Krylov iterative methods is largely deter...
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11/15/2019
Automated Derivation of Parametric Data Movement Lower Bounds for Affine Programs
For most relevant computation, the energy and time needed for data movem...
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09/16/2018
Low synchronization GMRES algorithms
Communication-avoiding and pipelined variants of Krylov solvers are crit...
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11/18/2016