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TWO Directions

TWO Directions. Gene Golub: for the construction of a 3-term conjugate gradient like (CG) method for nonsymmetric real matrices. SPD. Normal(1) Matrices. Remark: A symmetric?? A is normal matrix ???. Normal(1) Matrices. A normal. +. A normal. +. If eigs not line. wathen.

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TWO Directions

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  1. TWO Directions Gene Golub: for the construction of a 3-term conjugate gradient like (CG) method for nonsymmetric real matrices SPD

  2. Normal(1) Matrices • Remark: • A symmetric?? • A is normal matrix ???

  3. Normal(1) Matrices

  4. A normal + A normal + If eigs not line wathen CG(3)=matrices for which iterations can be carried out using 3-term recursion Any idea??? Faber&M def F&M slides

  5. A is the translation and rotation of a -self adjoint matrix A normal if A is B-self adjoint + Use A normal + Use If eigs not line Faber & M wathen for HSPD wathen wathen Faber&M def F&M slides F&M slides BA Hermition CG(3)=matrices for which iterations can be carried out using 3-term recursion

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