Computational Routines

• Linear Equations
• Orthogonal Factorizations and Linear Least Squares Problems
  • QR Factorization
  • LQ Factorization
  • QR Factorization with Column Pivoting
  • Complete Orthogonal Factorization
  • Other Factorizations
• Generalized Orthogonal Factorizations and Linear Least Squares Problems
  • Generalized QR Factorization
  • Generalized RQ factorization
• Symmetric Eigenproblems
• Nonsymmetric Eigenproblems
  • Eigenvalues, Eigenvectors and Schur Factorization
  • Balancing
  • Invariant Subspaces and Condition Numbers
• Singular Value Decomposition
• Generalized Symmetric Definite Eigenproblems
• Generalized Nonsymmetric Eigenproblems
• Generalized (or Quotient) Singular Value Decomposition