this paper presents new sensitivity-based methods for detection of structural damage using incomplete noisy modal data. these methods are based on the first-order derivative of modal parameters. changes of natural frequency do not usually provide spatial information on the structural damage. they are also not sensitive to the local damage. in this paper, a new sensitivity function is proposed u...

We consider a square linear interval parametric (LIP) system of size n whose elements are affine linear functions of the m-dimensional parameter vector p. Recently, a new type of solution to the LIP system considered (called parameterized or p-solution) has been introduced, which is of a corresponding linear interval (LI) form. An iterative method for determining the linear p-solution has also ...

We consider an extension of the proximal minimization algorithm where only some of the minimization variables appear in the quadratic proximal term. We interpret the resulting iterates in terms of the iterates of the standard algorithm and we show a uniform descent property, which holds independently of the proximal terms used. This property is used to give simple convergence proofs of parallel...

We consider least squares semidefinite programming (LSSDP) where the primal matrix variable must satisfy given linear equality and inequality constraints, and must also lie in the intersection of the cone of symmetric positive semidefinite matrices and a simple polyhedral set. We propose an inexact accelerated block coordinate descent (ABCD) method for solving LSSDP via its dual, which can be r...

We extend the best known bound on the largest subset of {1, 2, . . . , N} with no square differences to the largest possible class of quadratic polynomials.

Introduction. Compound Muscle Action Potential (CMAP) scan is a noninvasive promissory technique for neurodegenerative pathologies diagnosis. In this work new CMAP scan protocols were implemented to study the influence of electrical pulse waveform on peripheral nerve excitability. Methods. A total of 13 healthy subjects were tested. Stimulation was performed with an increasing intensities range...

substrates' concentration profile was studied in a porous matrix containing immobilized amyloglucosidase for glucose production. this analysis was performed by using an analytical method called least square method, and the results were compared with numerical solution. effects of effective diffusivity, michael's constant, maximum reaction rate and initial substrate concentration were studied on...

State of the art statistical estimators for high-dimensional problems take the form of regularized, and hence non-smooth, convex programs. A key facet of these statistical estimation problems is that these are typically not strongly convex under a high-dimensional sampling regime when the Hessian matrix becomes rankdeficient. Under vanilla convexity however, proximal optimization methods attain...