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How can i generate hermitian of a matrix in matlab?

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Midhun
Midhun on 21 Apr 2016
Edited: David Mis on 28 Jan 2020
is hermitian of a matrix and complex conjugate transpose are same?..

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Answers (2)

pankaj singh
pankaj singh on 31 May 2019
Transpose for real matrices is equivalent to Hermitian (complex conjugate transpose) for complex matrices. Therefore, you can use the same matlab operator to generate the Hermitian for a complex matrix. For example:
x = [1+j; 1-j; 2-j; 1+2j] % random complex matrix
x =
1.0000 + 1.0000i
1.0000 - 1.0000i
2.0000 - 1.0000i
1.0000 + 2.0000i
>> x' % take it's Hermitian
ans =
1.0000 - 1.0000i 1.0000 + 1.0000i 2.0000 + 1.0000i 1.0000 - 2.0000i

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Walter Roberson
Walter Roberson on 21 Apr 2016
Hermitian is a property, not something that can be generated. A hermitian matrix is a matrix which is equal to its complex transpose.
If you have a matrix which "should" be hermitian but might not be due to round-off error, then take
newH = (H + H') / 2

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David Mis
David Mis on 28 Jan 2020
For clarification: "A Hermitian" means the conjugate transpose of A, and it is indeed something that can be generated (in MATLAB we use A' as in pankaj singh's answer). This phrasing is distinct from "A is Hermitian", which means A has the property Walter mentions.

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