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Table 3 Backward error analysis results

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

Problem

\(\boldsymbol {\frac{ \Vert E-\tilde{Q} \tilde{R} \Vert _{F}}{ \Vert E \Vert _{F}}}\)

\(\boldsymbol {\Vert I-\tilde{Q}^{T} \tilde{Q} \Vert _{F}}\)

1.

4.4202e−16

1.3174e−15

2.

4.7858e−16

9.0854e−15

3.

1.0450e−15

4.9428e−14

4.

9.0230e−16

3.8711e−14

5.

9.9304e−16

6.4026e−14