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Multi-degree splines are piecewise polynomial functions having sections of different degrees. For these splines, we discuss the construction of a B-spline basis by means of integral recurrence relations, extending the class of multi-degree…

数值分析 · 数学 2017-09-18 Carolina Vittoria Beccari , Giulio Casciola , Serena Morigi

Intrinsic and parametric regression models are of high interest for the statistical analysis of manifold-valued data such as images and shapes. The standard linear ansatz has been generalized to geodesic regression on manifolds making it…

最优化与控制 · 数学 2020-10-19 Martin Hanik , Hans-Christian Hege , Anaja Hennemuth , Christoph von Tycowicz

We review some convexity inequalities for Hermitian matrices an add one more to the list.

泛函分析 · 数学 2007-05-23 Jean-christophe Bourin

We proposed a new penalized B-splines estimator, the general P-spline, to accommodate non-uniform B-splines on unevenly spaced knots. It is a complement to Eilers and Marx's standard P-spline tailored for uniform B-splines on equidistant…

统计方法学 · 统计学 2022-04-11 Zheyuan Li , Jiguo Cao

The Gram matrix is defined for Bessel sequences by combining synthesis with subsequent analysis operators. If different sequences are used and an operator U is inserted we reach so called U-cross Gram matrices. This can be seen as…

泛函分析 · 数学 2020-10-21 Peter Balazs , Mitra Shamsabadi , Ali Akbar Arefijamaal , Asghar Rahimi

In this work we study a multi-step scheme on time-space grids proposed by W. Zhao et al. [28] for solving backward stochastic differential equations, where Lagrange interpolating polynomials are used to approximate the time-integrands with…

数值分析 · 数学 2018-09-05 Long Teng , Aleksandr Lapitckii , Michael Günther

We focus on the estimating problem of the infinity norm of the inverse of Nekrasov matrices, give new bounds which involve a parameter, and then determine the optimal value of the parameter such that the new bounds are better than those in…

数值分析 · 数学 2014-08-25 Chaoqian Li , Hui Pei , Aning Gao , Yaotang Li

In this paper, a method via sparse-sparse iteration for computing a sparse incomplete factorization of the inverse of a symmetric positive definite matrix is proposed. The resulting factorized sparse approximate inverse is used as a…

数值分析 · 数学 2008-08-03 Davod Khojasteh Salkuyeh , Faezeh Toutounian

We report the results of a new calculation of soft-gluon corrections in B -> X_s l^+ l^- decays. In particular, we present the first calculation of bremsstrahlung and corresponding virtual terms to the lepton forward-backward asymmetry,…

高能物理 - 唯象学 · 物理学 2009-11-07 A. Ghinculov , T. Hurth , G. Isidori , Y. -P. Yao

In this work, I suggest a new way for determining the CKM angle $\gamma$ via B decays into a scalar/tensor meson without any hadronic uncertainty. The proposed idea makes profits of the two triangles formed by the $B^\pm\to (D^0,\bar…

高能物理 - 唯象学 · 物理学 2015-06-11 Wei Wang

The paper introduce a new type of generalized inverse, called Bott-Duffin drazin inverse (or, in short, BDD-inverse) of a complex square matrix, and give some of its properties, characterizations and representations. Furthermore, We discuss…

环与代数 · 数学 2025-06-23 Lu Zheng , Xiangyu Zhang , Kezheng Zuo , Jing Zhou

We describe an algorithm for computing certain characteristic numbers of surface scrolls using degenerations. As a corollary we obtain a method for computing the corresponding Gromov-Witten invariants of Grassmannians.

代数几何 · 数学 2007-05-23 Izzet Coskun

Some inequalities for positive linear maps on matrix algebras are given, especially asymmetric extensions of Kadison's inequality and several operator versions of Chebyshev's inequality. We also discuss well-known results around the matrix…

泛函分析 · 数学 2010-03-12 Jean-Christophe Bourin , Éric Ricard

A stability version of the reverse isoperimetric inequality, and the corresponding inequality for isotropic measures are established.

度量几何 · 数学 2015-01-13 Karoly J. Boroczky , Daniel Hug

QCD corrections to the gluino induced contribution to b --> s gamma are shown to be important in order to extract reliable bounds on the off-diagonal elements of the squark mass matrices.

高能物理 - 唯象学 · 物理学 2007-05-23 C. Greub , T. Hurth , D. Wyler

This work concerns results on conditions guaranteeing that certain banded $M$-matrices have banded inverses. As a first goal, a graph theoretic characterization for an off-diagonal entry of the inverse of an $M$-matrix to be positive, is…

综合数学 · 数学 2024-12-30 S. Pratihar , K. C. Sivakumar

We present here necessary and sufficient conditions for the invertibility of circulant and symmetric matrices that depend on three parameters and moreover, we explicitly compute the inverse. The techniques we use are related with the…

经典分析与常微分方程 · 数学 2015-05-30 A. Carmona , A. M. Encinas , S. Gago , M. J. Jiménez , M. Mitjana

The theory of matrix splitting is a useful tool for finding solution of rectangular linear system of equations, iteratively. The purpose of this paper is two-fold. Firstly, we revisit theory of weak regular splittings for rectangular…

数值分析 · 数学 2016-08-23 Debasisha Mishra

In this work we are interested in general linear inverse problems where the corresponding forward problem is solved iteratively using fixed point methods. Then one-shot methods, which iterate at the same time on the forward problem solution…

数值分析 · 数学 2024-05-15 Marcella Bonazzoli , Houssem Haddar , Tuan Anh Vu

This paper analyzes the convergence of fixed-point iterations of the form u = f(u) and the properties of the inverse of the related pentadiagonal matrices, associated with the fourth-order nonlinear beam equation. This nonlinear problem is…

数值分析 · 数学 2021-04-07 Bakytzhan Kurmanbek , Yogi Erlangga , Yerlan Amanbek