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Theory and Modern Applications

Table 6 Results of comparison for the dimension \(\pmb{m\times n=510\times 500}\) in terms of the elapsed time

From: Several numerical methods for computing unitary polar factor of a matrix

Matrix No.

NM

ANM

KHM

PM1

PM2

PM3

1

2.160124

2.222127

1.067061

1.116064

0.926053

1.074061

2

2.185125

2.181125

1.041060

1.129065

0.924053

1.102063

3

2.142123

2.199126

1.029059

1.174067

0.957055

1.121064

4

2.154123

2.111121

1.113064

1.121064

0.955055

1.096063

5

2.139122

2.131122

1.086062

1.049060

0.961055

1.077062

6

2.130122

2.195126

1.084062

1.050060

0.939054

1.075061

7

2.126122

3.235185

1.077062

1.134065

0.938054

1.076062

8

2.126122

2.098120

1.108063

1.083062

0.957055

1.076062

9

2.100120

2.147123

1.054060

1.084062

0.994057

1.069061

10

2.157123

2.210126

1.052060

1.076062

0.966055

1.073061