Biconjugate gradient stabilized method: Difference between revisions

Content deleted Content added
Vdebuen (talk | contribs)
m Unpreconditioned BiCGSTAB: Just a note about a not very usual notation of scalar product of vectors
Vdebuen (talk | contribs)
m Unpreconditioned BiCGSTAB: Just a new line
Line 8:
 
# {{math|'''<var>r</var>'''<sub>0</sub> {{=}} '''<var>b</var>''' − '''<var>Ax</var>'''<sub>0</sub>}}
# Choose an arbitrary vector {{math|'''<var>r̂</var>'''<sub>0</sub>}} such that {{math|('''<var>r̂</var>'''<sub>0</sub>, '''<var>r</var>'''<sub>0</sub>) ≠ 0}}, e.g., {{math|'''<var>r̂</var>'''<sub>0</sub> {{=}} '''<var>r</var>'''<sub>0</sub>}} . Note that notation {{math|('''<var>x</var>''','''<var>y</var>''') }} applies for scalar product of vectors {{math|1=('''<var>x</var>''','''<var>y</var>''') = <'''<var>x</var>''','''<var>y</var>'''> = '''<var>x</var>'''·'''<var>y</var>''' = '''<var>x</var>''' ' '''<var>y</var>'''}}
# {{math|<var>ρ</var><sub>0</sub> {{=}} <var>α</var> {{=}} <var>ω</var><sub>0</sub> {{=}} 1}}
# {{math|'''<var>v</var>'''<sub>0</sub> {{=}} '''<var>p</var>'''<sub>0</sub> {{=}} '''0'''}}