ON THE NUMERICAL RANGE OF EP MATRICES
Copyright policy )ON THE NUMERICAL RANGE OF EP MATRICES
In this work we study the numerical range $W(T)$ of EP matrices or operators having a canonical form $T = U(A\oplus 0)U^* $ in the case when $0 \notin W(A)$. As a result, we define the distance $d(W(A,T))$ between the sets $W(A)$ and $W(T)$ and investigate their connenctions, giving also upper and lower bounds for the distance $d(W(A^{-1},T^\dagger))$. Finally we present the form of their angular numerical range $F(T)$ and its connection with $F(T^\dagger)$.
- Athens University of Economics and Business Greece
- Athens State University United States
EP matrices, Numerical range, numerical radius, Norms of matrices, numerical range, applications of functional analysis to matrix theory, numerical range, Theory of matrix inversion and generalized inverses, angular numerical range, Moore-Penrose inverse
EP matrices, Numerical range, numerical radius, Norms of matrices, numerical range, applications of functional analysis to matrix theory, numerical range, Theory of matrix inversion and generalized inverses, angular numerical range, Moore-Penrose inverse
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