This work focuses on the correction of both the coecient and the right hand side matrices of the inconsistent matrix equations $AX = B$ and $XC = D$ with orthogonal constraint. By optimal correction approach, a general representation of the orthogonal solution is obtained. This method is tested on two examples to show that the optimal correction is eective and highly accurate.

A general method for constructing asymmetric orthogonal arrays of arbitrary strength is proposed. Application of this method is made to obtain several new families of tight asymmetric orthogonal arrays of strength three. A procedure for replacing a column with 2 symbols in an orthogonal array of strength three by several 2-symbol columns, without disturbing the orthogonality of the array, leads...

The main focus of this paper is on efficiency analysis of two kinds of approximating functions (characteristic orthogonal polynomials and characteristic beam functions) that have been applied in the Rayleigh-Ritz method to determine the non-dimensional buckling and frequency parameters of an angle ply symmetric laminated composite plate with fully elastic boundaries. It has been observed that o...

in this study, the problem of determining an optimal trajectory of a nonlinear injection into orbit problem with minimum time was investigated. the method was based on orthogonal polynomial approximation. this method consists of reducing the optimal control problem to a system of algebraic equations by expanding the state and control vector as chebyshev or legendre polynomials with undetermined...

Multi-dimensional Bayesian network classifiers (MDCs) generalise the popular robustly performing one-dimensional classifiers (ODCs) to application domains that require an instance to be classified into a combination of classes. In previous work we compared the sensitivity of MDC and ODC output probabilities to small parameter inaccuracies. In this paper we extend our analyses and study the robu...

1. In poultry investigations, the main interest is often to study the effects of many factors simultaneously. Two or three level factorial designs are the most commonly used for this type of investigation. However, it is often too costly to perform when number of factors increase. So a fractional factorial design, which is a subset or a fraction of a full factorial design, is an alternative. Th...

Software quality processes can be assessed with the Orthogonal Defect Classification COnstructive QUALity MOdel (ODC COQUALMO) that predicts defects introduced and removed, classified by ODC types. Using parametric cost and defect removal inputs, static and dynamic versions of the model help one determine the impacts of quality strategies on defect profiles, cost and risk. The dynamic version p...

Developed in this article are theories of the so-called linear estimation techniques. The methods are exclusively based on the space-time empirical orthogonal functions which describe nonuniform covariance statistics of background uctuations of investigated variable. Two speciic methods to be discussed are the detection and the estimation algorithms with speciic emphasis on the description of e...

In the paper [Y. Okuyama, {it On the absolute generalized N"{o}rlund summability of orthogonal series},Tamkang J. Math. Vol. 33, No. 2, (2002), 161-165] the author has found some sufficient conditions under which an orthogonal seriesis summable $|N,p,q|$ almost everywhere. These conditions are expressed in terms of coefficients of the series. It is the purpose ofthis paper to extend this result...