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Let (A=(a_{nk})) be an infinite matrix with complex entries.
The relationship between the influence coefficients matrix and the system control transfer function matrix with complex coefficients is set out.
where α is the path loss coefficient between the BS and the macro UT and G is a L × M random matrix with complex circularly symmetric (c.c.s).
where gives the phase angles, in radians, of a matrix with complex elements, denotes the element-by-element exponential of a matrix.
In mathematics, a Hermitian matrix (or self-adjoint matrix) is a square matrix with complex entries that is equal to its own conjugate transpose.
If A is an infinite matrix with complex entries a n k ( n, k ∈ N ), then we write A = ( a n k ) instead of A = ( a n k ) n, k = 0 ∞.
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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.
Given a positive integer, denote by and the -dimensional space of complex column vectors and the set of matrices with complex entries, respectively.
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|.
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