vol20_pp552-573. 195KB Jun 04 2011 12:06:09 AM
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For a Hermitian matrix with its main block diagonal given, this paper shows how to choose the off-diagonal blocks such that the resulting matrix has the maximal and minimal
Reently, the authors established a number of inequalities involving integer powers of the Hadamard produt of two positive denite Hermitian matries.. Here these results are extended
In a similar fashion, it is shown that a real normal Toeplitz matrix must be one of four types: symmetric, skew-symmetric, circulant, or skew-circulant.. Here trigonometric
Structuredmatrices, Matrix identity, Schur coefficients, Christoffel-Darboux for- mula, Transfer matrix function, Discrete skew-self-adjoint Dirac system, Weyl function, Inverse
To do this, observe that the hermitian forms graph is the Cayley graph C ay ( G, S ), where G is the additive group of all hermitian matrices and the set S consists of all
Closed-form formulas are derived for the rank and inertia of submatrices of the Moore–Penrose inverse of a Hermitian matrix.. A variety of consequences on the nonsingularity,
We now construct explicitly a piecewise classical solution for Heaviside initial data that satisfies the Rankine-Hugoniot jump conditions (hence it is a weak solution and will be
We present the trigonometric Lax matrix and classical r -matrix for the Kowa- levski gyrostat on so (4) algebra by using the auxiliary matrix algebras so (3 , 2) or sp (4).. Key
