Abstract.The full-rank LDL* decomposition of a polynomial Hermitian matrix is examined. Explicit formulae are given evaluating the coefficients of matrices 𝑙𝑖𝑗 and 𝑑𝑗𝑗. Also, a new method is ...

Abstract In this paper, we first study the solution to linear matrix inequality AXB + (AXB)* ⩾ (>, ⩽, <) C when the matrix G = (A B*) is full row rank, where C is a Hermitian matrix. Furthermore, for ...