The MatrixFrac class.
The matrix fraction function tr(X^T P^{-1} X).
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' is_quadratic(object) ## S4 method for signature 'MatrixFrac' is_qpwa(object) ## S4 method for signature 'MatrixFrac' .domain(object) ## S4 method for signature 'MatrixFrac' .grad(object, values)
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. |
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
X
An Expression or numeric matrix.
P
An Expression or numeric matrix.
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