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Node-level performance modeling of sparse factorization solver

Janalík, Radim ; Schenk, Olaf (Dir.)

Thèse de doctorat : Università della Svizzera italiana, 2021 ; 2021INFO006.

Solving large sparse linear systems is at the heart of many application problems arising from scientific and engineering problems. These systems are often solved by direct factorization solvers, especially when the system needs to be solved for multiple right-hand sides or when a high numerical precision is required. Direct solvers are based on matrix factorization, which is then followed by...

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High-performance interior point methods : application to power grid problems

Kardoš, Juraj ; Schenk, Olaf (Dir.)

Thèse de doctorat : Università della Svizzera italiana, 2020 ; 2020INFO003.

A software library for the solution of large-scale structured nonconvex optimization problems is presented in this work, with the purpose of accelerating the solution on single- core, multicore, or massively parallel high-performance distributed memory computing infrastructures. A large class of industrial and engineering problems possesses a particular structure, motivating the development of...

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