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Let (T= (t_{nv} )) be a normal matrix.
Let A = ( a n v ) be a normal matrix, i.e., a lower triangular matrix of nonzero diagonal entries.
Moreover, C 0) should be a normal matrix for the weighted Dirichlet problem to be well-posed.
Let (J in{mathbb{R}}^{ntimes n}) be a normal matrix such that (J^{2}=-I_{n}).
Let (T=(t_{nv})) be a normal matrix, i.e., a lower triangular matrix of nonzero diagonal entries.
Let (J in{mathbb{R}}^{ntimes n}) be a normal matrix such that (J^{2}=-I_{n}), where (I_{n}) is an n-by-n identity matrix.
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Hence is a normal matrix and then we can derive from Lemma 2.2 that (3.2).
The equality in (2.1) holds if and only if is a normal matrix.
(8) Since C is a normal matrix, we have Vert CVert _{2}=max_{0leq mleq n-1}vert lambda _{m}vert.
We assume that A is a normal matrix, that is, has a full eigenvector space and further that the symmetric part, A + A T of A is spd.
Because (J in{mathbb{R}}^{ntimes n}) is a normal matrix and (J^{2}=-I_{n}), then J is a real orthogonal skew-symmetric matrix.
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