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LuFactorization

Struct LuFactorization 

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pub struct LuFactorization {
    pub n: usize,
    pub lu: Vec<f32>,
    pub pivot: Vec<usize>,
}
Expand description

LU factorization result (in-place: L and U stored in the same matrix).

After factorization, the matrix a contains:

  • Upper triangle (including diagonal): U
  • Strict lower triangle: L (unit diagonal implicit)

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§n: usize

Row dimension.

§lu: Vec<f32>

Factored matrix (L\U packed).

§pivot: Vec<usize>

Pivot indices: row i was swapped with row pivot[i].

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impl LuFactorization

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pub fn solve(&self, b: &[f32]) -> Result<Vec<f32>, SolverError>

Solve Ax = b using the LU factorization.

§Contract: solve-lu-v1.yaml / solution_accuracy
§Errors

Returns error on dimension mismatch.

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pub fn extract_l(&self) -> Vec<f32>

Extract L matrix (unit lower triangular).

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pub fn extract_u(&self) -> Vec<f32>

Extract U matrix (upper triangular).

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pub fn extract_p(&self) -> Vec<f32>

Extract permutation matrix.

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impl Debug for LuFactorization

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

Formats the value using the given formatter. Read more
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impl Solver for LuFactorization

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fn solve(&self, b: &[f32]) -> Result<Vec<f32>, SolverError>

Solve Ax = b using this factorization. Read more
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fn dimension(&self) -> usize

Matrix dimension (n for n×n systems, or min(m,n) for rectangular).

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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> 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, 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.