Biconjugate gradient stabilized method: Difference between revisions

Revision as of 15:58, 4 June 2020

Revision as of 15:58, 4 June 2020

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# {{math|'''<var>r</var>'''₀ {{=}} '''<var>b</var>''' − '''<var>Ax</var>'''₀}}

# Choose an arbitrary vector {{math|'''<var>r̂</var>'''₀}} such that {{math|('''<var>r̂</var>'''₀, '''<var>r</var>'''₀) ≠ 0}}, e.g., {{math|'''<var>r̂</var>'''₀ {{=}} '''<var>r</var>'''₀}} . Note that notation {{math|('''<var>x</var>''','''<var>y</var>''') }} appliesdenotes forthe scalardot product of vectors {{math|1=('''<var>x</var>''','''<var>y</var>''') = '''<var>x</var>'''^T '''<var>y</var>'''}}

# {{math|<var>ρ</var>₀ {{=}} <var>α</var> {{=}} <var>ω</var>₀ {{=}} 1}}

# {{math|'''<var>v</var>'''₀ {{=}} '''<var>p</var>'''₀ {{=}} '''0'''}}