7,111 research outputs found

    On implicit-factorization constraint preconditioners

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    Recently Dollar and Wathen [14] proposed a class of incomplete factorizations for saddle-point problems, based upon earlier work by Schilders [40]. In this paper, we generalize this class of preconditioners, and examine the spectral implications of our approach. Numerical tests indicate the efficacy of our preconditioners

    Using constraint preconditioners with regularized saddle-point problems

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    The problem of finding good preconditioners for the numerical solution of a certain important class of indefinite linear systems is considered. These systems are of a 2 by 2 block (KKT) structure in which the (2,2) block (denoted by -C) is assumed to be nonzero. In Constraint preconditioning for indefinite linear systems , SIAM J. Matrix Anal. Appl., 21 (2000), Keller, Gould and Wathen introduced the idea of using constraint preconditioners that have a specific 2 by 2 block structure for the case of C being zero. We shall give results concerning the spectrum and form of the eigenvectors when a preconditioner of the form considered by Keller, Gould and Wathen is used but the system we wish to solve may have C \neq 0 . In particular, the results presented here indicate clustering of eigenvalues and, hence, faster convergence of Krylov subspace iterative methods when the entries of C are small; such situations arise naturally in interior point methods for optimization and we present results for such problems which validate our conclusions.\ud \ud The first author's work was supported by the OUCL Doctorial Training Accoun

    A Bramble-Pasciak-like method with applications in optimization

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    Saddle-point systems arise in many applications areas, in fact in any situation where an extremum principle arises with constraints. The Stokes problem describing slow viscous flow of an incompressible fluid is a classic example coming from partial differential equations and in the area of Optimization such problems are ubiquitous.\ud In this manuscript we show how new approaches for the solution of saddle-point systems arising in Optimization can be derived from the Bramble-Pasciak Conjugate Gradient approach widely used in PDEs and more recent generalizations thereof. In particular we derive a class of new solution methods based on the use of Preconditioned Conjugate Gradients in non-standard inner products and demonstrate how these can be understood through more standard machinery. We show connections to Constraint Preconditioning and give the results of numerical computations on a number of standard Optimization test examples

    The epidemiology of HIV among young people in sub-Saharan Africa: know your local epidemic and its implications for prevention.

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    BACKGROUND: Broad patterns of HIV epidemiology are frequently used to design generic HIV programs in sub-Saharan Africa. METHODS: We reviewed the epidemiology of HIV among young people in sub-Saharan Africa, and explored the unique dynamics of infection in its different regions. RESULTS: In 2009, HIV prevalence among youth in sub-Saharan Africa was an estimated 1.4% in males and 3.4% in females, but these values mask wide variation at regional and national levels. Within countries there are further major differences in HIV prevalence, such as by sex, urban/rural location, economic status, education, or ethnic group. Within this highly nuanced context, HIV prevention programs targeting youth must consider both where new infections are occurring and where they are coming from. CONCLUSIONS: Given the epidemiology, one-size-fits-all HIV prevention programs are usually inappropriate at regional and national levels. Consideration of local context and risk associated with life transitions, such as leaving school or getting married, is imperative to successful programming for young people

    An Update of NASA Public Health Applications Projects using Remote Sensing Data

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    Satellite earth observations present a unique vantage point of the earth s environment from space which offers a wealth of health applications for the imaginative investigator. The session will present research results of the remote sensing environmental observations of earth and health applications. This session will an overview of many of the NASA public health applications using Remote Sensing Data and will also discuss opportunities to become a research collaborator with NASA

    The crystal structure of superoxide dismutase from Plasmodium falciparum

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    Background: Superoxide dismutases (SODs) are important enzymes in defence against oxidative stress. In Plasmodium falciparum, they may be expected to have special significance since part of the parasite life cycle is spent in red blood cells where the formation of reactive oxygen species is likely to be promoted by the products of haemoglobin breakdown. Thus, inhibitors of P. falciparum SODs have potential as anti-malarial compounds. As a step towards their development we have determined the crystal structure of the parasite's cytosolic iron superoxide dismutase. Results: The cytosolic iron superoxide dismutase from P. falciparum (PfFeSOD) has been overexpressed in E. coli in a catalytically active form. Its crystal structure has been solved by molecular replacement and refined against data extending to 2.5 angstrom resolution. The structure reveals a two-domain organisation and an iron centre in which the metal is coordinated by three histidines, an aspartate and a solvent molecule. Consistent with ultracentrifugation analysis the enzyme is a dimer in which a hydrogen bonding lattice links the two active centres. Conclusion: The tertiary structure of PfFeSOD is very similar to those of a number of other iron-and manganese-dependent superoxide dismutases, moreover the active site residues are conserved suggesting a common mechanism of action. Comparison of the dimer interfaces of PfFeSOD with the human manganese-dependent superoxide dismutase reveals a number of differences, which may underpin the design of parasite-selective superoxide dismutase inhibitors

    Demographic profile of 266 mother-infant dyads presenting to a multidisciplinary breast-feeding clinic: a descriptive study

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    Worldwide, sustained breastfeeding rates are lower than optimal. Mothers and infants with suboptimal breastfeeding present to a wide variety of practitioners to assist their goal of total breastfeeding. To support these mother-infant dyads, a multi-disciplinary chiropractic and midwifery feeding clinic was opened alongside a chiropractic teaching clinic in England. To improve understanding of the presentation and clinical needs of these nursing dyads, a descriptive study was developed. This paper provides an overview of the cases that presented to this clinic over nine months, with a focus on feeding difficulties, birth and musculoskeletal problems in the infant. Mothers frequently reported more than one type of feeding problem, which most commonly included difficulty attaching, painful feeding, and a one sided feeding preference. Birth intervention was more common in this population than the national averages, particularly forceps deliveries. Musculoskeletal problems were prevalent in the babies presented to the feeding clinic, most commonly of the thoracic spine, cervical spine and sternocleidomastoid. Although causation cannot be established from this type of study, intervention at birth, feeding difficulties and musculoskeletal problems frequently coexisted in these infants. Therefore, including musculoskeletal care for infants as part of support for suboptimal breastfeeding may be appropriate
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