in this article we review an algebraic definition of the gyrogroup and a simplified version of the gyrovector space with two fundamental examples on the open ball of finite-dimensional euclidean space, which are the einstein and möbius gyrovector spaces. we introduce the structure of gyrovector space and the gyroline on the open convex cone of positive definite matrices and see its interest...

in this article we study steensen method to solve nonlinear matrix equation x+a^t x^(-1) a=q, when a is a normal matrix. we establish some conditions that generate a sequence of positive denite matrices which converges to solution of this equation.

Purpose This paper analyzes global interest in Internet information about decentralized finance (DeFi), embedded (EmFi), open (OpFi), ocean (OcFi) and sustainable (SuFi) the relationship among them. Design/methodology/approach The used a comparative methodology based on regression correlation analyses to assess DeFi, EmFi, OpFi, OcFi SuFi. Findings findings reveal that EmFi was more popular Asi...

Incomplete LDL∗ factorizations sometimes produce an inde nite preconditioner even when the input matrix is Hermitian positive de nite. The two most popular iterative solvers for Hermitian systems, MINRES and CG, cannot use such preconditioners; they require a positive de nite preconditioner. We present two new Krylov-subspace solvers, a variant of MINRES and a variant of CG, both of which can b...

Critical fl icker frequency (CFF) was investigated in a free swimming harp seal using behavioral techniques. The resulting CFF vs intensity curve indicates a defi nite rod/cone break, suggesting a duplex photoreceptor population, whose presence had not been observed in previous morphological reports. 1 This research was supported by a National Research Council of Canada Grant to the second auth...

We study a deterministic linear quadratic LQ control problem over an in nite horizon without the restriction that the control cost matrix R or the state cost matrix Q be positive de nite We develop a general approach to the problem based on semi de nite programming SDP and related duality analysis We show that the complementary duality condition of the SDP is necessary and su cient for the exis...

in this paper, we consider an arbitrary binary polynomial sequence {a_n} and then give a lower triangular matrix representation of this sequence. as main result, we obtain a factorization of the innite generalized pascal matrix in terms of this new matrix, using a riordan group approach. further some interesting results and applications are derived.

Ilhan Inan’s (2012) approach to curiosity is based on the following central theses: (i) for every question asked out of curiosity there is a corresponding term (defi nite description) that is inostensible for the asker (its reference is unknown) and that has the function of uniquely identifying an object; (ii) the satisfaction of curiosity is always in the form of coming to know an object as fa...

In this paper, we will try to give a dynamic characterization of the object and subject Modern theology among Tatar Muslims on exemplar theological views ‘Abdunnasīr Qursavi (1776–1812), Shihabutdin Marjani (1818–1889) Murad Ramzi (1854–1934) (and partly their contemporaries). The incognizability Creator faith as “a thing-in-itself” transformed Religious Epistemology into cognition more defi ni...