NAG Library Manual, Mark 29.3
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F08KTF Example Program Results

Example 1: singular values
3.9994            3.0003            1.9944            0.9995

Example 1: right singular vectors, by row
1                 2                 3                 4
1  (-0.6971,-0.0000) (-0.0867,-0.3548) ( 0.0560,-0.5400) (-0.1878,-0.2253)
2  ( 0.2403, 0.0000) ( 0.0725,-0.2336) (-0.2477,-0.5291) ( 0.7026, 0.2177)
3  (-0.5123, 0.0000) (-0.3030,-0.1735) ( 0.0678, 0.5162) ( 0.4418, 0.3864)
4  (-0.4403, 0.0000) ( 0.5294, 0.6361) (-0.3027,-0.0346) ( 0.1667, 0.0258)

Example 1: left singular vectors, by column
1                 2                 3                 4
1  (-0.5634, 0.0016) (-0.2687,-0.2749) ( 0.2451, 0.4657) ( 0.3787, 0.2987)
2  ( 0.1205,-0.6108) (-0.2909, 0.1085) ( 0.4329,-0.1758) (-0.0182,-0.0437)
3  (-0.0816, 0.1613) (-0.1660, 0.3885) (-0.4667, 0.3821) (-0.0800,-0.2276)
4  ( 0.1441,-0.1532) ( 0.1984,-0.1737) (-0.0034, 0.1555) ( 0.2608,-0.5382)
5  (-0.2487,-0.0926) ( 0.6253, 0.3304) ( 0.2643,-0.0194) ( 0.1002, 0.0140)
6  (-0.3758, 0.0793) (-0.0307,-0.0816) ( 0.1266, 0.1747) (-0.4175,-0.4058)

Example 2: singular values
3.0004            1.9967            0.9973

Example 2: right singular vectors, by row
1                 2                 3                 4
1  ( 0.2454,-0.0001) ( 0.2942,-0.5843) ( 0.0162,-0.0810) ( 0.6794, 0.2083)
2  (-0.1692, 0.5194) ( 0.1915,-0.4374) ( 0.5205,-0.0244) (-0.3149,-0.3208)
3  (-0.5553, 0.1403) ( 0.1438,-0.1507) (-0.5684,-0.5505) (-0.0318,-0.0378)

Example 2: left singular vectors, by column
1                 2                 3
1  ( 0.6518, 0.0000) (-0.4312, 0.0000) ( 0.6239, 0.0000)
2  (-0.4437,-0.5027) (-0.3794, 0.1026) ( 0.2014, 0.5961)
3  (-0.2012, 0.2916) (-0.8122, 0.0030) (-0.3511,-0.3026)
```