Suppose that C is the complex plane and k is a non-negative integer.Define functions Nk-(x)=|x|k if k is even and Nk(x)=x|x|k-1 if k is odd.Some approximation properties of Nk-(x)'s is discussed and a new example ...Suppose that C is the complex plane and k is a non-negative integer.Define functions Nk-(x)=|x|k if k is even and Nk(x)=x|x|k-1 if k is odd.Some approximation properties of Nk-(x)'s is discussed and a new example of a Tchebycheff system is given out.展开更多
In this paper,it is given that the new equivalent definition of level-k (r1,r2, …,rk)-cir culant matrices of type (n1,n2,…,nk) in [1] and we give the explicit expression of its the eigenval ues and four methods of d...In this paper,it is given that the new equivalent definition of level-k (r1,r2, …,rk)-cir culant matrices of type (n1,n2,…,nk) in [1] and we give the explicit expression of its the eigenval ues and four methods of discriminations its nonsingularity by utilizing only parameter r1,r2, …,rk and elements of the first row of the sorts matrices.展开更多
文摘Suppose that C is the complex plane and k is a non-negative integer.Define functions Nk-(x)=|x|k if k is even and Nk(x)=x|x|k-1 if k is odd.Some approximation properties of Nk-(x)'s is discussed and a new example of a Tchebycheff system is given out.
文摘In this paper,it is given that the new equivalent definition of level-k (r1,r2, …,rk)-cir culant matrices of type (n1,n2,…,nk) in [1] and we give the explicit expression of its the eigenval ues and four methods of discriminations its nonsingularity by utilizing only parameter r1,r2, …,rk and elements of the first row of the sorts matrices.
