rmultmatmult {compositions} | R Documentation |

## inner product for datasets with vector scale

### Description

An rmult object is considered as a sequence of vectors. The `%*%`

is considered as the inner multiplication. An inner multiplication with
another vector is the scalar product. an inner multiplication with
a matrix is a matrix multiplication, where the rmult-vectors are either
considered as row or as column vector.

### Usage

```
## S3 method for class 'rmult'
x %*% y
```

### Arguments

`x` |
an rmult vector or dataset of vectors, a numeric vector of
length ( |

`y` |
an rmult vector or dataset of vectors , a numeric vector of
length ( |

### Details

The operators try to minic the behavior of `%*%`

on
`c()`

-vectors as inner product applied in parallel to all vectors of
the dataset. Thus the product of a vector with another `rmult`

object or unclassed vector `v` results in the scalar product. For
the multiplication with a matrix each vector is considered as a row or
column, whatever is more appropriate.

### Value

an object of class `"rmult"`

or a numeric vector containing the
result of the
corresponding inner products.

### Note

The product `x %*% A %*% y`

is associative.

### Author(s)

K.Gerald v.d. Boogaart http://www.stat.boogaart.de

### See Also

### Examples

```
x <- rmult(matrix( sqrt(1:12), ncol= 3 ))
x%*%x
A <- matrix( 1:9,nrow=3)
x %*% A %*% x
x %*% A
A %*% x
x %*% 1:3
x %*% 1:3
1:3 %*% x
```

*compositions*version 2.0-8 Index]