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Numerical Linear Algebra with Applications by William Ford

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HuiH=[I(i1)×(i1)0(i1)×30(i1)×(ni2)03×(i1)H¯ui3×303×(ni2)0(ni2)×(i1)0(ni2)×3I(ni2)×(ni2)]?[H1(i1)×(i1)H2(i1)×3H3(i1)×(ni2)H43×(i1)H53×3H63×(ni2)H7(ni2)×(i1)H8(ni2)×3H9(ni2)×(ni2)]?=[H1(i1)×(i1)H2(i1)×3H3(i1)×(ni2)H¯ui3×3H43×(i1)H¯ui3×3H53×3H¯ui3×3H63×(ni2)H7(ni2)×(i1)H8(ni2)×3H9(ni2)×(ni2)]

si351_e

The only computation that need be done involves rows i:i+2si352_e, and columns 1:n. The same type of analysis shows that the product (HuiH)Hui is done using rows 1:n and columns i:i+2. The final preproduct product ...

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