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Table 1 Description of test problems

From: Updating QR factorization procedure for solution of linear least squares problem with equality constraints

Problem

Size of (A)

κ ( A )

\(\boldsymbol {\Vert A \Vert _{F}}\)

Size of (B)

κ ( B )

\(\boldsymbol { \Vert B \Vert _{F}}\)

1.

10×8

1.3667e+02

2.0006e+02

6×8

7.4200e+01

1.0216e+02

2.

100×90

2.9303e+03

2.1395e+03

90×90

3.3687e+03

1.3735e+03

3.

800×700

6.2106e+03

1.6872e+04

600×700

1.6164e+03

9.9000e+03

4.

1,000×500

1.1602e+03

1.5943e+04

500×500

1.2883e+05

7.6360e+03

5.

2,000×1,000

1.6727e+03

3.1884e+04

1,000×1,000

1.7430e+06

1.5272e+04