SVD: Get minimum number of singular values...

A command to get the minimum number of singular values (s.v.'s) whose sum, divided by the sum of all singular values, is smaller than the given fraction.

## Examples

Given an SVD with four s.v's 10.0, 6.0, 3.0 and 1.0. The sum of the s.v's is 20.0.

`Get minimum number of singular values: 0.5
`

  The returned value would be 1. The first s.v. divided by the sum is 0.5 (= 10.0 / 20.0). For any fraction lower than 0.5 the query would also return 1, because the first s.v. already covers half of the total sum.

`Get minimum number of singular values: 0.8
`

  The returned value would be 2. The sum of first two s.v.'s divided by the sum is 0.8 (= (10.0 + 6.0) / 20.0). For any fraction between 0.5 and 0.8 the query would also return 2.

`Get minimum number of singular values: 0.95
`

  The returned value would be 3. The sum of first three s.v.'s divided by the sum is 0.95 (= (10.0 + 6.0 + 3.0) / 20.0). For any fraction between 0.8 and 0.95 the query would also return 3.

`Get minimum number of singular values: 0.96
`

  The returned value would be 4.

`Get minimum number of singular values: 0.99
`

  The returned value would be 4.