A Parallel Implementation of the Jacobi-Davidson Eigensolver and its Application in a Plasma Turbulence Code ⋆

Abstract. In the numerical solution of large-scale eigenvalue problems, Davidson-type methods are an increasingly popular alternative to Krylov eigensolvers. The main motivation is to avoid the expensive factorizations that are often needed by Krylov solvers when the problem is generalized or interior eigenvalues are desired. In Davidson-type methods, the factorization is replaced by iterative linear solvers that can be accelerated by a smart preconditioner. Jacobi-Davidson is one of the most effective variants. However, parallel implementations of this method are not widely available, particularly for non-symmetric problems. We present a parallel implementation to be released in SLEPc, the Scalable Library for Eigenvalue Problem Computations, and test it in the context of a highly scalable plasma turbulence simulation code. We analyze its parallel efficiency and compare it with Krylov-type eigensolvers. Keywords: Message-passing parallelization, eigenvalue computations, Jacobi-Davidson, plasma simulation.

Estratégias de manejo de inverno e verão visando ao controle de Conyza bonariensis e Bidens pilosa Winter and summer management strategies for Conyza bonariensis and Bidens pilosa control

Conyza bonariensis é uma das principais plantas daninhas da região Sul do País; com a seleção de biótipos tolerantes e resistentes ao herbicida glyphosate, demandas são crescentes por alternativas de manejo para essa espécie. Com esse intuito, o objetivo do presente trabalho foi avaliar a eficiência de diferentes estratégias de manejo de inverno e de verão sobre o controle de Conyza bonariensis, utilizando a mistura em tanque de glyphosate+2,4-D associada ou não com herbicidas residuais. As combinações de manejo foram realizadas após a colheita do milho safrinha (manejo de inverno), associadas a manejos antecedendo a semeadura da soja (manejo de verão), totalizando 15 tratamentos. Os manejos de inverno avaliados foram eficientes na dessecação das plantas daninhas e mantiveram excelentes níveis de controle residual até a pré-semeadura da cultura da soja. A semeadura da aveia após o manejo de inverno com posterior manejo de verão com glyphosate+2,4-D+diclosulam mostrou-se eficiente no controle de Bidens pilosa. Em todos os manejos em que o herbicida 2,4-D foi associado ao glyphosate houve controle total de Conyza bonariensis.<br>Conyza bonariensis is one of the most important weeds in southern Brazil. The selection of biotypes tolerant and resistant to the herbicide glyphosate has led to increasing demand for alternatives of management strategy to control this species. This work aimed to evaluate the efficiency of different winter and summer management strategy for the control of Conyza bonariensis, by using glyphosate + 2,4-D tank mixtures combined or not with residual herbicides. The different burndown alternatives were applied after corn harvest (winter burndown), associated to applications before soybean sowing (summer burndown) with a total of 15 treatments. Winter burndown options evaluated in this research were efficient in weed desiccation and provided excellent levels of residual weed control up to the next summer soybean pre-sowing. The sowing of oats after winter burndown with subsequent summer burndown with glyphosate+diclosulam + 2,4-D was found to be efficient to control Bidens pilosa. Conyza bonariensis was totally controlled in all the burndown strategies in which the herbicide 2,4-D was associated to glyphosate