How can i generate hermitian of a matrix in matlab?
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is hermitian of a matrix and complex conjugate transpose are same?..
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pankaj singh
am 31 Mai 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
am 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
4 Kommentare
Zaid Ahmad
am 23 Okt. 2020
Actually theoretically matrix is hermitian if conjugate of A transpose is A itself. So it is a property. But usually the word hermitian is used as short for hermitian transpose.
Bruno Luong
am 23 Okt. 2020
Rarely heard "complex transpose" or "hermitian transpose".
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