The preconditioned inverse iteration [Ney01a] is an efficient method to compute the smallest eigenpair of a symmetric positive definite matrix M . Here we use this method to find the smallest eigenvalues of a hierarchical matrix [Hac99]. The storage complexity of the datasparse H-matrices is almost linear. We use H-arithmetic to precondition with an approximate inverse of M or an approximate Ch...

We are concerned with the perturbation of a multiple eigenvalue μ of the Hermitian matrix A = diag(μI,A22) when it undergoes an off-diagonal perturbation E whose columns have widely varying magnitudes. When some of E’s columns are much smaller than the others, some copies of μ are much less sensitive than any existing bound suggests. We explain this phenomenon by establishing individual perturb...

A generalized linear model describes the distribution of random variable conditioned on one or more other random variables. The generalized linear model consists of two components: a distribution f(y) in the exponential family and a link function g that maps the linear predictor to the mean parameter of the distribution. Let yi for individual i ∈ {1...n} be the random variable that we want to m...

Fix a split connected reductive group G over a field k, and a positive integer r. For any r-tuple of dominant coweights μi of G, we consider the restriction mμ• of the r-fold convolution morphism of Mirkovic-Vilonen [MV1, MV2] to the twisted product of Schubert varieties corresponding to μ•. We show that if all the coweights μi are minuscule, then the fibers of mμ• are equidimensional varieties...

We study the impact of next-to-next-to-leading order (NNLO) QCD corrections on partial decay rates in B̄ → Xulν̄l decays, at leading-order in the 1/mb expansion for shapefunction kinematics. These corrections are implemented within a modified form of the BLNP framework, which allows for arbitrary variations of the jet scale μi ∼ 1.5 GeV. Our analysis includes a detailed comparison between resumme...

Let μ1, . . . , μn be continuous probability measures on Rn and α1, . . . , αn ∈ [0, 1]. When does there exist an oriented hyperplane H such that the positive half-space H+ has μi(H) = αi for all i ∈ [n]? It is well known that such a hyperplane does not exist in general. The famous ham sandwich theorem states that if αi = 2 for all i, then such a hyperplane always exists. In this paper we give ...

Magnetoelectric coupling effect of Ni1-xZnxFe2O4/PZT (NZFO/PZT) thin film heterostructures is investigated by tuning the Zn content in NZFO film. The highest magnetoelectric coefficient NZFO/PZT achieved at x=0.15 with value 328 mV/cm Oe. This various different induced distinct magnetostriction film, which related to piezomagnetic q and initial permeability μi layer, as well exchange interactio...

where ⊂RN (N ≥ ) is a smooth bounded domain such that ξi ∈ , i = , , . . . ,k, k ≥ , are different points, ≤ μi < μ̄ := (N–  ), L := – · – ∑k i=μi · |x–ξi| , η,λ,σ ≥ , a,a,a ∈ R,  < α, β < ∗ – , α + β = ∗. We work in the product space H ×H , where the space H :=H ( ) is the completion of C∞  ( ) with respect to the norm ( ∫ |∇ · | dx)   . In resent years many publications...

در این مقاله یک مدل ریاضی برای مسئله سیستم تولیدی همکارانه ساخت بر اساس سفارش با رعایت انصاف تخصیص بار‌های تولید طراحی شده است. اهداف اصلی مدل، کمینه‌سازی هزینه‌‌های کل و حداکثر استفاده از منابع به‌منظور عادلانه شرایط عدم­قطعیت کنترل پارامتر‌های غیرقطعی روش برنامه‌ریزی فازی ‌شده نتایج نشان می‌دهد افزایش نرخ عدم‌قطعیت، می­یابد. ازآنجاکه ظرفیت کارخانه‌ها ثابت است، مقدار تقاضا، هر کارخانه نیز می­ی...