Quadrant Interlocking Factorization (QIF), an alternative to LU factorization, is suitable for factorizing invertible matrix A such that det(A) , 0. The QIF, with its application in parallel computing, the most efficient factorization technique yet underutilized. two forms of QIF among others, which are not only similar algorithm but also computation, WZ and WH differs applications properties. ...

We describe the “Welfare to Work” scenario, and the software we are designing to support case managers’ planning for their clients. The Changing World of Welfare to Work President Clinton signed the revised welfare legislation, “Personal Responsibility Work Opportunity Reconciliation Act (PRWORA)” in 1996. This legislation stipulates a set of supports and regulations for welfare recipients that...

Tensor factorization arises in many machinelearning applications, such knowledge basemodeling and parameter estimation in latentvariable models. However, numerical meth-ods for tensor factorization have not reachedthe level of maturity of matrix factorizationmethods. In this paper, we propose a newmethod for CP tensor factorization that usesrandom projections to ...

The non-negative matrix factorization (NMF) algorithm is a classical matrix factorization and dimension reduction method in machine learning and data mining. However, in real problems, we always have to run the algorithm for several times and use the best matrix factorization result as the final output because of the random initialization of the matrix factorization. In this paper, we proposed ...

QCD factorization for exclusive non-leptonic B-meson decays: General arguments and the case of heavy–light final states Abstract We provide a rigorous basis for factorization for a large class of non-leptonic two-body B-meson decays in the heavy-quark limit. The resulting factorization formula incorporates elements of the naive factorization approach and the hard-scattering approach , but allow...

Let O be an order of an algebraic number field. It was shown by Ge that given a factorization of an O-ideal a into a product of O-ideals it is possible to compute in polynomial time an overorder O′ of O and a gcdfree refinement of the input factorization; i.e., a factorization of aO′ into a power product of O′-ideals such that the bases of that power product are all invertible and pairwise copr...

In path factorization, H. Wang [1] gives the necessary and sufficient conditions for the existence of P_k-factorization of a complete bipartite graph for k, an even integer. Further, Beiling Du [2] extended the work of H. Wang, and studied the P_2k-factorization of complete bipartite multigraph. For odd value of k the work on factorization was done by a number of researchers. P_3-factorization ...

The freight sector is expected to keep, or even increase, its fundamental role for the major modern economies, and therefore actions limit growing pressure on environment are urgent. use of electricity a option decarbonization transports; in heavy-duty segment, it can be implemented different ways: besides full electric-battery powertrains, used supply catenary roads, chemically stored liquid g...

The efficiency of the same vehicle can vary in different regions, posing unique challenges and implications for electric vehicles (EVs) plug-in hybrid (PHEVs) within a country. However, most studies have regarded countries as single entities, it is difficult to assess differences between similar entities by simply using life cycle analysis (LCA) method. To provide specific environmental each re...