this paper is concerned with the problem of designing discrete-time control systems with closed-loop eigenvalues in a prescribed region of stability. first, we obtain a state feedback matrix which assigns all the eigenvalues to zero, and then by elementary similarity operations we find a state feedback which assigns the eigenvalues inside a circle with center   and radius. this new algorithm ca...

In this paper, the discrete method of eigenvectors of covariance matrix has been used to weight minimization of steel frame structures. Eigenvectors of Covariance Matrix (ECM) algorithm is a robust and iterative method for solving optimization problems and is inspired by the CMA-ES method. Both of these methods use covariance matrix in the optimization process, but the covariance matrix calcula...

the matrix functions appear in several applications in engineering and sciences. the computation of these functions almost involved complicated theory. thus, improving the concept theoretically seems unavoidable to obtain some new relations and algorithms for evaluating these functions. the aim of this paper is proposing some new reciprocal for the function of block anti diagonal matrices. more...

We calculate the expectation value of an arbitrary product of characteristic polynomials of complex random matrices and their hermitian conjugates. Using the technique of orthogonal polynomials in the complex plane our result can be written in terms of a determinant containing these polynomials and their kernel. It generalizes the known expression for hermitian matrices and it also provides a g...

We introduce and carefully study a natural probability measure over the numerical range of a complex matrix A ∈ Mn(C). This numerical measure μA can be defined as the law of the random variable 〈AX,X〉 ∈ C when the vector X ∈ C is uniformly distributed on the unit sphere. If the matrix A is normal, we show that μA has a piecewise polynomial density fA, which can be identified with a multivariate...

Parallel principles are the most effective way how to increase performance in parallel computing (parallel computers and algorithms too). In this sense the paper is devoted to a complex performance evaluation of matrix parallel algorithms (MPA). At first the paper describes the typical matrix parallel algorithms and then it summarizes common properties of them to complex performance modeling of...

The article describes a flexible mapping technique realized as a many-to-many dynamic mapping matrix. Digital sound generation is typically controlled by a large number of parameters and efficient and flexible mapping is necessary to provide expressive control over the instrument. The proposed modulation matrix technique may be seen as a generic and selfmodifying mapping mechanism integrated in...

This paper describes a number of verbal argument marking patterns found in the world’s languages and provides HPSG analyses for them. In addition to commonly-occurring variations of morphosyntactic alignment (e.g. nominative-accusative, ergative-absolutive), this paper also presents analyses of more complex phenomena, including ergativity splits, Austronesianstyle focus-case systems, and direct...