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Communication lower bounds and optimal algorithms for numerical linear algebra
The traditional metric for the efficiency of a numerical algorithm has been the number of
arithmetic operations it performs. Technological trends have long been reducing the time to …
arithmetic operations it performs. Technological trends have long been reducing the time to …
[BOG][B] Avoiding communication in dense linear algebra
GM Ballard - 2013 - search.proquest.com
Dense linear algebra computations are essential to nearly every problem in scientific
computing and to countless other fields. Most matrix computations enjoy a high …
computing and to countless other fields. Most matrix computations enjoy a high …
Communication-avoiding parallel algorithms for solving triangular systems of linear equations
T Wicky, E Solomonik, T Hoefler - 2017 IEEE International …, 2017 - ieeexplore.ieee.org
We present a new parallel algorithm for solving triangular systems with multiple right hand
sides (TRSM). TRSM is used extensively in numerical linear algebra computations, both to …
sides (TRSM). TRSM is used extensively in numerical linear algebra computations, both to …
[PDF][PDF] Parallel numerical algorithms
MT Heath - Lecture Notes, 2011 - relate.cs.illinois.edu
Computation speed is limited by physical laws Speed of conventional processors is limited
by line delays: signal transmission time between gates gate delays: settling time before state …
by line delays: signal transmission time between gates gate delays: settling time before state …
Communication-Avoiding Parallel Algorithms for Solving Triangular Matrix Equations
T Wicky - 2015 - research-collection.ethz.ch
In this work an algorithm for solving triangular systems of equations for multiple right hand
sides is presented. The algorithm for solving triangular systems for multiple right hand sides …
sides is presented. The algorithm for solving triangular systems for multiple right hand sides …