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Test Matrices for the Generalized QR and RQ Factorization Routines

Eight different test matrix combinations are used for the GQR and GRQ test paths. All are generated with a predetermined condition number. For the GQR path, the following test matrices are used:

NTYPES Matrix A Matrix B 522#522 523#523 524#524 525#525
1 Diagonal Lower triangular 10 1000 100 10
2 Lower triangular Diagonal 10 1000 100 10
3 Lower triangular Upper triangular 10 1000 100 10
4 Random dense Random dense 10 1000 100 10
5 Random dense Random dense 10 1000 526#526 526#526
6 Random dense Random dense 10 1000 527#527 527#527
7 Random dense Random dense 26#26 126#126 526#526 527#527
8 Random dense Random dense 126#126 26#26 527#527 526#526
26#26- near underflow threshold
126#126- near overflow threshold

For the GRQ path, the following test matrices are used:

NTYPES Matrix A Matrix B 522#522 523#523 524#524 525#525
1 Diagonal Upper triangular 10 1000 100 10
2 Upper triangular Upper triangular 10 1000 100 10
3 Lower triangular Upper triangular 10 1000 100 10
4 Random dense Random dense 10 1000 100 10
5 Random dense Random dense 10 1000 526#526 526#526
6 Random dense Random dense 10 1000 527#527 527#527
7 Random dense Random dense 26#26 126#126 526#526 527#527
8 Random dense Random dense 126#126 26#26 527#527 526#526
26#26- near underflow threshold
126#126- near overflow threshold


next up previous contents
Next: Tests Performed on the Up: Testing the Generalized QR Previous: Testing the Generalized QR   Contents
Susan Blackford 2001-08-13