Hermitian conjugate


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Related to Hermitian conjugate: Hermitian matrix

Hermitian conjugate

(hɜːˈmɪtɪən)
n
(Mathematics) maths a matrix that is the transpose of the matrix of the complex conjugates of the entries of a given matrix. Also called: adjoint
[C19: named after Charles Hermite (1822–1901), French mathematician]
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014
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By the projection rule, the connection matrix is determined as W = X[([X.sup.*] X).sup.-1] [X.sup.*], where the superscript * denotes the Hermitian conjugate matrix.
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Taking the hermitian conjugate of (10), post-multiplying by [psi], then yields [1, p.
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For a non-Hermitian matrix A = [([a.sub.ij]).sub.N x N] [member of] [C.sup.N x N], the Hermitian conjugate of A is denoted as
Exploiting the composite step strategy to the biconjugate, A-orthogonal residual method for non-Hermitian linear systems

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