In this paper, the notion of rank-k numerical range of rectangular complex matrix polynomials are introduced. Some algebraic and geometrical properties are investigated. Moreover, for ϵ > 0; the notion of Birkhoff-James approximate orthogonality sets for ϵ-higher rank numerical ranges of rectangular matrix polynomials is also introduced and studied. The proposed denitions yield a natural genera...

Nonlinear least squares (NLS) problems arise in many applications. The common solvers require to compute and store the corresponding Jacobian matrix explicitly, which is too expensive for large problems. In this paper, we propose an effective Jacobian free method especially for large NLS problems because of the novel combination of using automatic differentiation for J(x)v and J (x)v along with...

in order to investigate the effect of water stress at heading stage on grain yield and yield components of eight wheat cultivars, in 2008 year a research was conducted in the two regions esfahan and ardestan by using split plot in a randomized complete block design with three replications which that two irrigation treatments included custom and late season water stress were main factor and 8 wh...

Long-term yield performance and yield stability of common cropping systems needs to be simultaneously assessed at various fertility regimes. Based on a consecutive 19-year field trial, including eight fertilization treatments with different combinations of nitrogen (N), phosphorus (P), potassium (K) and recycled manure (RM), the effects of fertilization and crop rotation on corn (Zea mays L.) y...

it is essential to understand crop yield potentials and exploitable gaps to detect yield constraints of crops. yield gap analysis is a method to evaluate our systems distance from actual capability of a region to produce a given crop which will direct researches and help for cropping patterns design and programming. moreover, knowledge on a region capability could result in investigating on giv...