DGGQRF Methods |
The DGGQRF type exposes the following members.
Methods| Name | Description | |
|---|---|---|
 | Run | Purpose ======= DGGQRF computes a generalized QR factorization of an N-by-M matrix A and an N-by-P matrix B: A = Q*R, B = Q*T*Z, where Q is an N-by-N orthogonal matrix, Z is a P-by-P orthogonal matrix, and R and T assume one of the forms: if N .GE. M, R = ( R11 ) M , or if N .LT. M, R = ( R11 R12 ) N, ( 0 ) N-M N M-N M where R11 is upper triangular, and if N .LE. P, T = ( 0 T12 ) N, or if N .GT. P, T = ( T11 ) N-P, P-N N ( T21 ) P P where T12 or T21 is upper triangular. In particular, if B is square and nonsingular, the GQR factorization of A and B implicitly gives the QR factorization of inv(B)*A: inv(B)*A = Z'*(inv(T)*R) where inv(B) denotes the inverse of the matrix B, and Z' denotes the transpose of the matrix Z. |
Extension Methods| Name | Description | |
|---|---|---|
 | GetEnumNames | (Defined by General) |
| IsValidDouble | (Defined by General) |
See Also