MatrixFrac-class {CVXR} R Documentation

## The MatrixFrac class.

### Description

The matrix fraction function tr(X^T P^{-1} X).

### Usage

```MatrixFrac(X, P)

## S4 method for signature 'MatrixFrac'
allow_complex(object)

## S4 method for signature 'MatrixFrac'
to_numeric(object, values)

## S4 method for signature 'MatrixFrac'
validate_args(object)

## S4 method for signature 'MatrixFrac'
dim_from_args(object)

## S4 method for signature 'MatrixFrac'
sign_from_args(object)

## S4 method for signature 'MatrixFrac'
is_atom_convex(object)

## S4 method for signature 'MatrixFrac'
is_atom_concave(object)

## S4 method for signature 'MatrixFrac'
is_incr(object, idx)

## S4 method for signature 'MatrixFrac'
is_decr(object, idx)

## S4 method for signature 'MatrixFrac'

## S4 method for signature 'MatrixFrac'
is_qpwa(object)

## S4 method for signature 'MatrixFrac'
.domain(object)

## S4 method for signature 'MatrixFrac'
```

### Arguments

 `X` An Expression or numeric matrix. `P` An Expression or numeric matrix. `object` A MatrixFrac object. `values` A list of numeric values for the arguments `idx` An index into the atom.

### Methods (by generic)

• `allow_complex`: Does the atom handle complex numbers?

• `to_numeric`: The trace of X^TP^{-1}X.

• `validate_args`: Check that the dimensions of `x` and `P` match.

• `dim_from_args`: The atom is a scalar.

• `sign_from_args`: The atom is positive.

• `is_atom_convex`: The atom is convex.

• `is_atom_concave`: The atom is not concave.

• `is_incr`: The atom is not monotonic in any argument.

• `is_decr`: The atom is not monotonic in any argument.

• `is_quadratic`: True if x is affine and P is constant.

• `is_qpwa`: True if x is piecewise linear and P is constant.

• `.domain`: Returns constraints describing the domain of the node

• `.grad`: Gives the (sub/super)gradient of the atom w.r.t. each variable

### Slots

`X`

An Expression or numeric matrix.

`P`

An Expression or numeric matrix.

[Package CVXR version 1.0-10 Index]