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I want to know meaning of $$H^{-T}$$Is it same with $$(H^{-1})^T$$or $$(H^T)^{-1}$$

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    $\begingroup$ Yes, all three of these things mean the same thing. $\endgroup$
    – Mees de Vries
    Sep 26, 2016 at 14:10

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$H^{-1}$ is defined such that $I=H^{-1}H=HH^{-1}$, taking the transpose of this equation yields $$I=I^T=(H^{-1}H)^T=H^T(H^{-1})^T$$ Therefore $(H^{-1})^T$ is the inverse of $H^T$, so $$(H^{-1})^T=(H^T)^{-1}$$ So yes, $H^{-T}$ it is the same as both.

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