The main result in this paper is the determination of the Fréchet derivative of an analytic function of a bounded operator, tangentially to the space of all bounded operators. Some applied problems from statistics and numerical analysis are included as a motivation for this study. The perturbation operator increment is not of any special form and is not supposed to commute with the operator at ...

The plant genetic resources are important, because they have most valuable national basis resources in the each country. In this study, to grouping the almond progenies from ‘Shahrood ’ × ‘Shahrood ’ and comparing them in terms of heritability with their parents, measured on the basis of almond universal descriptor. Principal component analysis (PCA) was used to compare morphological and phonol...

 The Organization Readiness of Engineering Project Management Based on Virtual Teams has been analyzed in an Iranian Engineering firm. Adapting and analyzing the latest readiness model, experts’ opinions were received by questionnaires and main criteria of the readiness have been identified. The considered readiness criteria are: Infrastructure, Deliverables (Drawings, Reports, Minutes of Meeti...

1. Abstract The present paper describes a solution to a non-parametric shape optimization problem of a brake model suppressing squeal noise. The brake model consists of a rotor and a pad between which the Coulomb friction occurs. A main problem is defined as a complex eigenvalue problem of the brake model obtained from the equation of motion. As an objective cost function, we use the positive r...

Using the conjugate space theory of functional analysis, eigenvalue problem main operator pumping well production system with early warning function was studied, and spectral point distribution described.

‎In this paper‎, ‎we find matrix representation of a class of sixth order Sturm-Liouville problem (SLP) with separated‎, ‎self-adjoint boundary conditions and we show that such SLP have finite spectrum‎. ‎Also for a given matrix eigenvalue problem $HX=lambda VX$‎, ‎where $H$ is a block tridiagonal matrix and $V$ is a block diagonal matrix‎, ‎we find a sixth order boundary value problem of Atkin...

A new algorithm for the orthogonal reduction of a symmetric matrix to tridiagonal form is developed and analysed. It uses a Cholesky factorization of the original matrix and the rotations are applied to the factors. The idea is similar to the one used for the one-sided Jacobi algorithms B. The algorithm uses little communication , accesses data with stride one and is to a large extent independe...

We consider the following eigenvalue optimization problem: Given a bounded domain Ω ⊂ R and numbers α ≥ 0, A ∈ [0, |Ω|], find a subset D ⊂ Ω of area A for which the first Dirichlet eigenvalue of the operator −∆+ αχD is as small as possible. We prove existence of solutions and investigate their qualitative properties. For example, we show that for some symmetric domains (thin annuli and dumbbell...

in this paper, we present an edge detection method based on wavelet transform and hessian matrix of image at each pixel. many methods which based on wavelet transform, use wavelet transform to approximate the gradient of image and detect edges by searching the modulus maximum of gradient vectors. in our scheme, we use wavelet transform to approximate hessian matrix of image at each pixel, too. ...