9 citations · 15 across the 5 of their papers we have counts for
6 papers
Functional Ratings in Sports
Bradley Lowery, Abigail Slater, Kaison Thies
In this paper, we present a new model for ranking sports teams. Our model uses all scoring data from all games to produce a functional rating by the method of least squares. The fu…
On matrix balancing and eigenvector computation
Rodney James, Julien Langou, Bradley R. Lowery
Balancing a matrix is a preprocessing step while solving the nonsymmetric eigenvalue problem. Balancing a matrix reduces the norm of the matrix and hopefully this will improve the…
Designing LU-QR hybrid solvers for performance and stability
Mathieu Faverge, Julien Herrmann, Julien Langou +3
This paper introduces hybrid LU-QR al- gorithms for solving dense linear systems of the form Ax = b. Throughout a matrix factorization, these al- gorithms dynamically alternate LU…
Stability Analysis of QR factorization in an Oblique Inner Product
Bradley R. Lowery, Julien Langou
In this paper we consider the stability of the QR factorization in an oblique inner product. The oblique inner product is defined by a symmetric positive definite matrix A. We anal…
A Greedy Algorithm for Optimally Pipelining a Reduction
Bradley R. Lowery, Julien Langou
Collective communications are ubiquitous in parallel applications. We present two new algorithms for performing a reduction. The operation associated with our reduction needs to be…
Relative error due to a single bit-flip in floating-point arithmetic
Bradley R. Lowery
We consider the error due to a single bit-flip in a floating point number. We assume IEEE 754 double precision arithmetic, which encodes binary floating point numbers in a 64-bit w…