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Factorization of Matrix Polynomials with Symmetries
An $n \times n$ matrix polynomial $L( \lambda )$ (with real or complex coefficients) is called self-adjoint if $L( \lambda ) = ( L( \bar \lambda ) )^ * $ and symmetric if $L( \lambda ) = ( L( \pm \lambda ) )^T $. Factorizations of selfadjoint and symmetric matrix …