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==Derivation==
===BiCG in polynomial form===
In BiCG, the search directions {{math|<var>'''p'''<sub>i</sub></var>}} and {{math|'''<var>p̂</var>'''<sub><var>i</var></sub>}} and the residuals {{math|<var>'''r'''<sub>i</sub></var>}} and {{math|'''<var>r̂</var>'''<sub><var>i</var></sub>}} are updated using the following [[recurrence
:{{math|<var>'''p'''<sub>i</sub></var> {{=}} '''<var>r</var>'''<sub><var>i</var>−1</sub> + <var>β<sub>i</sub></var>'''<var>p</var>'''<sub><var>i</var>−1</sub>}},
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