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Conceptual and numerical issues related to the spectral factorization of polynomials and polynomial matrices with complex coefficients are studied in this report.
The space of matrices with complex entries is denoted by.
Let C m × n be the set of all m × n complex matrices with complex entries.
We now apply different numerical methods for finding the unitary polar factors of many randomly generated rectangular matrices with complex entries.
The space of M × N matrices with complex entries is denoted by C M × N. The Euclidean norm of a vector a is denoted by |a|.
Given a positive integer, denote by and the -dimensional space of complex column vectors and the set of matrices with complex entries, respectively.
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Specifically, we consider the equation Lu= divB⁎∇ adivA∇u)= 0, where A and B are elliptic matrices with complex-valued bounded measurable coefficients and a is an accretive function.
The relationship between the influence coefficients matrix and the system control transfer function matrix with complex coefficients is set out.
However, a practical implementation of a phase coded aperture in an X-ray application is not feasible, because it is computationally modeled as a matrix with complex entries which requires changing the phase of the diffracted beams.
Let (A=(a_{nk})) be an infinite matrix with complex entries.
In mathematics, a Hermitian matrix (or self-adjoint matrix) is a square matrix with complex entries that is equal to its own conjugate transpose.
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