Description Usage Arguments Details Value References Examples

Returns the norm of a matrix.

1 | ```
norm2(x, p = 2)
``` |

`x` |
a numeric matrix. |

`p` |
an integer value, |

The function `norm2`

computes the norm of a matrix. Three choices
are possible:

`p=1`

- The maximum absolute column sum norm which is defined
as the maximum of the sum of the absolute valued elements of columns
of the matrix.

`p=2`

- The spectral norm is "the norm" of a matrix `X`

.
This value is computed as the square root of the maximum eigenvalue
of `CX`

where `C`

is the conjugate transpose.

`p=Inf`

- The maximum absolute row sum norm is defined
as the maximum of the sum of the absolute valued elements
of rows of the matrix.

Note, the function `fBasics::norm()`

has become obsolete, since
`base::norm()`

has become available in the R base environment.
To avoid conflicts with `norm()`

we have renamed in the fBasics
package as `norm2`

.

returns the value of the norm of the matrix.

Golub, van Loan, (1996);
*Matrix Computations*,
3rd edition. Johns Hopkins University Press.

1 2 3 4 5 6 |

fBasics documentation built on Nov. 18, 2017, 4:05 a.m.

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