Inner Products, Projections and the SVD · free preview
Matrix Approximation
Matrix Approximation
1. Matrix Approximation
Matrix Approximation
2. Matrix Approximation (2)
Matrix Approximation (2)
3. Matrix Approximation (3)
Matrix Approximation (3)
4. Matrix Approximation (4)
Matrix Approximation (4)
5. Matrix Approximation (5)
Matrix Approximation (5)
6. Matrix Approximation (6)
Matrix Approximation (6)
7. Matrix Approximation (7)
Matrix Approximation (7)
8. Best low-rank approximation
The best rank- approximation of in the spectral norm is obtained by
9. Error of the truncation
For the rank- truncation , the Frobenius-norm error equals
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