Biorthogonal system

Biorthogonality is a modification of the well-known orthogonality. One speaks of biorthogonal matrices and if the column vectors are orthogonal, which is a diagonal matrix called.

The matrices are biorthonormal if the diagonal matrix is the identity, so if. The definitions for orthogonality and orthonormality obtained by one chooses.

Biorthogonality occurs in the context of unsymmetrical Lanczos method and the two-sided Gram- Schmidt.

• Numerical Mathematics