@techreport {,
	title = {Analysis of the Communication and Computation Cost of FFT Libraries towards Exascale},
	journal = {ICL Technical Report},
	number = {ICL-UT-22-07},
	year = {2022},
	month = {2022-07},
	publisher = {Innovative Computing Laboratory},
	author = {Alan Ayala and Stanimire Tomov and Piotr Luszczek and Sebastien Cayrols and Gerald Ragghianti and Jack Dongarra}
}
@techreport {,
	title = {Communication Avoiding LU with Tournament Pivoting in SLATE},
	journal = {SLATE Working Notes},
	number = {18, ICL-UT-22-01},
	year = {2022},
	month = {2022-01},
	author = {Rabab Alomairy and Mark Gates and Sebastien Cayrols and Dalal Sukkari and Kadir Akbudak and Asim YarKhan and Paul Bagwell and Jack Dongarra}
}
@techreport {,
	title = {FFT Benchmark Performance Experiments on Systems Targeting Exascale},
	journal = {ICL Technical Report},
	number = {ICL-UT-22-02},
	year = {2022},
	month = {2022-03},
	author = {Alan Ayala and Stanimire Tomov and Piotr Luszczek and Sebastien Cayrols and Gerald Ragghianti and Jack Dongarra}
}
@techreport {,
	title = {Mixed precision and approximate 3D FFTs: Speed for accuracy trade-off with GPU-aware MPI and run-time data compression},
	journal = {ICL Technical Report},
	number = {ICL-UT-22-04},
	year = {2022},
	month = {2022-05},
	keywords = {All-to-all, Approximate FFTs, ECP, heFFTe, Lossy compression, mixed-precision algorithms, MPI},
	author = {Sebastien Cayrols and Jiali Li and George Bosilca and Stanimire Tomov and Alan Ayala and Jack Dongarra}
}
@techreport {,
	title = {PAQR: Pivoting Avoiding QR factorization},
	journal = {ICL Technical Report},
	number = {ICL-UT-22-06},
	year = {2022},
	month = {2022-06},
	abstract = {The solution of linear least-squares problems is at the heart of many scientific and engineering applications. While any method able to minimize the backward error of such problems is considered numerically stable, the theory states that the forward error depends on the condition number of the
matrix in the system of equations. On the one hand, the QR factorization is an efficient method to solve such problems, but the solutions it produces may have large forward errors when the matrix is deficient. On the other hand, QR with column pivoting (QRCP) is able to produce smaller forward errors on deficient matrices, but its cost is prohibitive compared to QR. The aim of this paper is to propose PAQR, an alternative solution method with the same cost (or smaller) as QR and as accurate as QRCP in practical cases, for the solution of rank-deficient linear least-squares problems. After presenting the algorithm and its implementations on different architectures, we compare its accuracy and performance results on a variety of application problems.
},
	author = {Wissam M. Sid-Lakhdar and Sebastien Cayrols and Daniel Bielich and Ahmad Abdelfattah and Piotr Luszczek and Mark Gates and Stanimire Tomov and Hans Johansen and David Williams-Young and Timothy A. Davis and Jack Dongarra}
}
@techreport {,
	title = {SLATE Performance Improvements: QR and Eigenvalues},
	journal = {SLATE Working Notes},
	number = {17, ICL-UT-21-02},
	year = {2021},
	month = {2021-04},
	author = {Kadir Akbudak and Paul Bagwell and Sebastien Cayrols and Mark Gates and Dalal Sukkari and Asim YarKhan and Jack Dongarra}
}
