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I am citing a paper by Nelder and Mead (1963). However, I would like it to appear as "Nelder--Mead (1963)" instead of "Nelder and Mead (1963)". How can this be achieved?

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Use an alias.

Put in the preamble:

\defcitealias{nelder1965simplex}{Nelder--Mead}
\newcommand{\mycitet}[1]{\citetalias{#1} (\citeyear{#1})}

and in the text:

\mycitet{nelder1965simplex}

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