Block-Partitioned Algorithms

• LU Factorization

• Cholesky factorization

• Symmetric indefinite factorization

• Matrix inversion

• QR, QL, RQ, LQ factorizations

• Form Q or QTC

• Orthogonal reduction to:

  • (upper) Hessenberg form
  • symmetric tridiagonal form
  • bidiagonal form

• Block QR iteration for nonsymmetric eigenvalue problems

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