Based on high quality surgery and scientific data, scientists and surgeons are committed to
protecting patients as well as healthcare staff and hereby provide this Guidance to address …

Peirce-diagonalizable linear transformations on a Euclidean Jordan algebra are of the form
L (x)= A· x:=∑ a ij x ij, where A=[a ij] is a real symmetric matrix and∑ x ij is the Peirce …

Abstract In a Euclidean Jordan algebra V of rank n, an element x is said to be majorized by
an element y, symbolically x≺ y, if the corresponding eigenvalue vector λ (x) is majorized by …

Let G be a primitive strongly regular graph G such that the regularity is less than half of the
order of G and A its matrix of adjacency, and let 𝒜 be the real Euclidean Jordan algebra of …

Widely linear processing has been shown to be superior to the traditional strictly linear
processing in quaternion minimum mean square error (MMSE) estimation. However, a …

Due to its simple yet elegant structure, the study of an entry-wise product of matrices, called
the Hadamard product, has received extensive attention from researchers and has …

The quaternion widely linear model was recently introduced for optimal second order
estimation of noncircular 3D and 4D data. Its superiority over the standard strictly linear …

In this paper, we establish convexity of some functions associated with symmetric cones,
called SC trace functions. As illustrated in the paper, these functions play a key role in the …

A linear transformation L defined on a finite dimensional real Hilbert space is said to be a Z-
transformation on a proper cone K if x∈ K, y∈ K∗, and〈 x, y〉= 0⇒〈 L (x), y〉⩽ 0, where …

This paper is devoted to the study of the symmetric cone linear complementarity problem
(SCLCP). Specifically, our aim is to characterize the class of linear transformations for which …