Tests Performed on the Generalized QR and RQ Factorization Routines

For the GQR test path, and each set of matrix dimensions (M, N, P) and each selected matrix type, an 4#4-by-3#3 matrix A and an 4#4-by-528#528 matrix B are generated. The problem dimensions are as follows:

16#16	4#4-by-3#3
97#97	4#4-by-528#528
64#64	4#4-by-4#4
88#88	528#528-by-528#528

The tests for the GQR path are as follows:

• Compute the Generalized QR factorization using xGGQRF, generate the orthogonal matrix 64#64 from the Householder vectors using xORGQR, generate the matrix 88#88 using xORGRQ, and compute the test ratios
  1. 536#536
  2. 537#537
  3. 538#538
  4. 539#539

where 477#477 represents xLAMCH('P').

For the GRQ test path, and each set of matrix dimensions (M, N, P) and each selected matrix type, an 3#3-by-4#4 matrix A and a 528#528-by-4#4 matrix B are generated. The problem dimensions are as follows:

16#16	3#3-by-4#4
97#97	528#528-by-4#4
64#64	4#4-by-4#4
88#88	528#528-by-528#528

The tests for the GRQ path are as follows:

• Compute the Generalized RQ factorization using xGGRQF, generate the orthogonal matrix 64#64 from the Householder vectors using xORGRQ, generate the matrix 88#88 from the Householder vectors using xORGQR, and compute the test ratios
  1. 540#540
  2. 541#541
  3. 542#542
  4. 539#539

where 477#477 represents xLAMCH('P').