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QuadraticFunction

Struct QuadraticFunction 

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pub struct QuadraticFunction {
    pub coeffs: Vec<Vec<f64>>,
    pub linear: Vec<f64>,
    pub constant: f64,
}
Expand description

Quadratic objective: f(x) = 0.5 x^T Q x + c^T x + d.

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§coeffs: Vec<Vec<f64>>

Positive semidefinite coefficient matrix Q (n × n).

§linear: Vec<f64>

Linear coefficient vector c (length n).

§constant: f64

Constant term d.

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impl QuadraticFunction

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pub fn new(q: Vec<Vec<f64>>, c: Vec<f64>, d: f64) -> Self

Create a new quadratic function with matrix Q, linear part c, constant d.

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impl Clone for QuadraticFunction

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fn clone(&self) -> QuadraticFunction

Returns a duplicate of the value. Read more
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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl ConvexFunction for QuadraticFunction

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fn eval(&self, x: &[f64]) -> f64

f(x) = 0.5 * x^T Q x + c^T x + d.

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fn gradient(&self, x: &[f64]) -> Vec<f64>

∇f(x) = Q x + c.

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fn is_strongly_convex(&self) -> bool

A quadratic function is strongly convex iff Q is positive definite (approximated here by checking that all diagonal entries are strictly positive).

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impl Debug for QuadraticFunction

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fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter. Read more

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Blanket Implementations§

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impl<T> Any for T
where T: 'static + ?Sized,

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fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
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impl<T> Borrow<T> for T
where T: ?Sized,

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fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
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impl<T> BorrowMut<T> for T
where T: ?Sized,

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fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more
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impl<T> CloneToUninit for T
where T: Clone,

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unsafe fn clone_to_uninit(&self, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dest. Read more
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impl<T> From<T> for T

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fn from(t: T) -> T

Returns the argument unchanged.

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impl<T, U> Into<U> for T
where U: From<T>,

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fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

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impl<T> ToOwned for T
where T: Clone,

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type Owned = T

The resulting type after obtaining ownership.
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fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more
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fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more
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impl<T, U> TryFrom<U> for T
where U: Into<T>,

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type Error = Infallible

The type returned in the event of a conversion error.
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fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
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impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

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type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.
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fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.