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### 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').

Next: Input File for Testing Up: Testing the Generalized QR Previous: Test Matrices for the   Contents
Susan Blackford 2001-08-13