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Rational Chebyshev approximations for the inverse of the error function

Rational Chebyshev approximations for the inverse of the error function

This report presents near-minimax rational approximations for the inverse of the error function inverf <italic>x</italic>, for <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="0 less-than-or-slanted-equals x less-than-or-slanted-equals 1 minus 10 Superscript negative 10000"> <mml:semantics> <mml:mrow> <mml:mn>0</mml:mn> <mml:mo>⩽<!-- ⩽ --></mml:mo> <mml:mi>x</mml:mi> <mml:mo>⩽<!-- ⩽ --></mml:mo> <mml:mn>1</mml:mn> <mml:mo>−<!-- − --></mml:mo> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msup> <mml:mn>10</mml:mn> <mml:mrow class="MJX-TeXAtom-ORD"> …