Let G be a finite group and let h positive integer. A BH(G, h) matrix is G-invariant ∣G∣ × H whose entries are complex hth roots of unity such that H* = ∣G∣I∣G∣, where denotes the conjugate transpose H, I∣G∣ identity order ∣G∣. In this paper, we give three new constructions matrices. The first construction known family matrices in which does not need to abelian. second third two families local ...

Symmetric Positive Definite (SPD) matrices are ubiquitous in data analysis under the form of covariance or correlation matrices. Several O(n)-invariant Riemannian metrics were defined on SPD cone, particular kernel introduced by Hiai and Petz. The class interpolates between many classical it satisfies key results stability completeness. However, does not contain all metrics. Therefore this work...

Approximate Message Passing (AMP) algorithms have seen widespread use across a variety of applications. However, the precise forms for their Onsager corrections and state evolutions depend on properties underlying random matrix ensemble, limiting extent to which AMP derived white noise may be applicable data matrices that arise in practice. In this work, we study more general W satisfy orthogon...

 In this paper, we prove some coupled coincidence point theorems for mappings satisfying generalized contractive conditions under a new invariant set in ordered cone metric spaces. In fact, we obtain sufficient conditions for existence of coupled coincidence points in the setting of cone metric spaces. Some examples are provided to verify the effectiveness and applicability of our results.