Abstract: In the present work, a new real representation of reduced biquaternion matrix and the special properties of Vec(Φ EOF) are used to solve the minimal norm Hermitian solution, pure imaginary ...

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The partition functionZN, for Hermitian-complex matrix models can be expressed as an explicit integral over ℝN, whereN is a positive integer. Such an integral also occurs in connexion with random ...

We treat the hermitian one-matrix model in the case where the quadratic term of the matrix potential has a negative coefficient (negative mass). In that case two scaling functions are necessary in the ...

Australian actor Martin Grelis, who appeared in the 1999 first installment of The Matrix film series, has died at the age of 57. “Martin was a bright spark who lit up every room he was in—a talented ...

Abstract: In this paper, we investigate the set of real symmetric matrices that are larger than a given Hermitian matrix in the semidefinite order, with particular attention to its minimal element. We ...