Research Article
Optimal Attitude Determination from Vector Sensors Using Fast Analytical Singular Value Decomposition
| | Case | SVD Eigen | Fast SVD | QUEST Eigen | QUEST Newton | FLAE Newton |
| | 1 | 4.3120 × 10−05 | 4.3120 × 10−05 | 4.3120 × 10−05 | 4.3120 × 10−05 | 4.3120 × 10−05 | | 2 | 6.0836 × 10−05 | 6.0836 × 10−05 | 6.0836 × 10−05 | 6.0836 × 10−05 | 6.0836 × 10−05 | | 3 | 4.3242 × 10−01 | 4.3242 × 10−01 | 4.3242 × 10−01 | 4.3242 × 10−01 | 4.3242 × 10−01 | | 4 | 5.9031 × 10−01 | 5.9031 × 10−01 | 5.9031 × 10−01 | 5.9031 × 10−01 | 5.9031 × 10−01 | | 5 | 4.4283 × 10−01 | 4.4283 × 10−01 | 4.4283 × 10−01 | 5.0414 × 10−01 | 2.4250 × 10+01 | | 6 | 4.9071 × 10−03 | 4.9071 × 10−03 | 4.9071 × 10−03 | 4.9071 × 10−03 | 4.9071 × 10−03 | | 7 | 8.0575 × 10−03 | 8.0575 × 10−03 | 8.0575 × 10−03 | 8.0575 × 10−03 | 8.0575 × 10−03 | | 8 | 5.9527 × 10+01 | 5.9527 × 10+01 | 5.9527 × 10+01 | 5.9527 × 10+01 | 5.9527 × 10+01 | | 9 | 7.7087 × 10+01 | 7.7087 × 10+01 | 7.7087 × 10+01 | 7.7087 × 10+01 | 7.7087 × 10+01 | | 10 | 1.4617 × 10+00 | 1.4617 × 10+00 | 1.4617 × 10+00 | 4.7431 × 10+01 | 1.5650 × 10+00 | | 11 | 2.0270 × 10+00 | 2.0270 × 10+00 | 2.0270 × 10+00 | 4.6515 × 10+01 | 2.9349 × 10+00 | | 12 | 2.0594 × 10+00 | 2.0594 × 10+00 | 2.0594 × 10+00 | 3.6679 × 10+01 | 1.7381 × 10+01 |
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