The Hermitian Lanczos method for Hermitian matrices has a well-known connection with a 3-term recurrence for polynomials orthogonal on a discrete subset of ℝ. This connection disappears for normal ...
We study the solvability of the equation AX + XA * = XA + A * X = I. In particular, we obtain various criteria for the normality of A in terms of Hermitian solutions of the equation which satisfy ...
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