This paper addresses the problem of one-dimensional partitioning of structurally unsymmetricsquare and rectangularsparse matrices for parallel matrix-vector and matrix-transpose-vector multiplies. The objectiveis to minimizethe communicationcost while maintainingthe balance on computational loads of processors. Most of the existing partitioning models consider only the total message volume hopi...

Organic-aerosol phase partitioning (volatility) and oxidative aging are inextricably linked in the atmosphere because partitioning largely controls the rates and mechanisms of aging reactions as well as the actual amount of organic aerosol. Here we discuss those linkages, describing the basic theory of partitioning thermodynamics as well as the dynamics that may limit the approach to equilibriu...

aqueous two-phase systems (atps) have  emerged as a powerful extraction method for the downstream processing of bio-molecules. the aim of this work was to investigate the possibility of utilizing atps for the separation of recombinant bacillus sphaericus phenylalanine dehydrogenase (phedh). polyethylene glycol (peg) and ammonium sulfate systems were selected for our experiment. the effect of di...

The three-mode partitioningmodel is a clusteringmodel for three-way three-mode data sets that implies a simultaneous partitioning of all three modes involved in the data. In the associated data analysis, a data array is approximated by a model array that can be represented by a three-mode partitioningmodel of a prespecified rank,minimizing a least squares loss function in terms of differences b...

The partitioning of lysozyme and extraction yield in an aqueous two-phase system containing Poly Vinyl Pyrrolidone (PVP) K25 and potassium phosphate were investigated as a function of weight percent of salt and PVP in the feed, temperature, and pH. To investigate partitioning behavior, the central composite design was considered using a quadratic model. According to the results of the model...