chord.norm.diff {CJIVE} | R Documentation |

## Chordal norm between column-subspaces of two matrices

### Description

Calculates the chordal norm between the column subspaces of two matrices. Matrices must have the same number of rows. Let U_x and U_y represent the singular vectors of matrices X and Y, respectively. The chordal norm can be calculated as the square root of the sum of the singular values of t(U_x)

### Usage

```
chord.norm.diff(X, Y, tol = 1e-08)
```

### Arguments

`X` |
a matrix with the same number of rows as Y and any number of columns |

`Y` |
a matrix with the same number of rows as X and any number of columns |

`tol` |
threshold under which singular values of inner product are zeroed out |

### Value

(Numeric) Chordal norm between column-subspaces of X and Y, scaled to the interval [0,1]

[Package

*CJIVE*version 0.1.0 Index]