in this article, we characterize the involutiveness of the linear combination of the forma1a1 +a2a2 when a1, a2 are nonzero complex numbers, a1 is a quadratic or tripotent matrix,and a2 is arbitrary, under certain properties imposed on a1 and a2.

a pedigree file consisting of 5860 individuals, 167 sires and 1582 dams collected at makooei sheep breeding station (msbs) during a period of 24 years (1990 to 2013) was used to calculate the inbreeding coefficients to reveal any probable effects of inbreeding (f) on the studied traits. the studied traits were classified to the five main groups including body weight, kleiber ratio, body measure...

Quadratic programming (QP) is an optimization problem wherein one minimizes (or maximizes) a quadratic function of a finite number of decision variable subject to a finite number of linear inequality and/ or equality constraints. In this paper, a quadratic programming problem (FFQP) is considered in which all cost coefficients, constraints coefficients, and right hand side are characterized by ...

begin{abstract} the relations between the spectrum of the matrix $q+r$ and the spectra of the matrices $(gamma + delta)q+(alpha + beta)r-qr-rq$, $qr-rq$, $alpha beta r-qrq$, $alpha rqr-(qr)^{2}$, and $beta r-qr$ have been given on condition that the matrix $q+r$ is diagonalizable, where $q$, $r$ are ${alpha, beta}$-quadratic matrix and ${gamma, delta}$-quadratic matrix, respectively, of order $...

background: background and objectives: the biological variation of body mass index (bmi) and waist circumference (wc) with age may vary by gender. the objective of this study was to investigate the functional relationship of anthropometric measures with age and sex.methods: the data were collected from a population-based cross-sectional study of 1800 men and 1800 women aged 20-70 years in north...