LuResult

Struct LuResult 

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pub struct LuResult<T: Scalar> {
    pub p: Vec<usize>,
    pub l: Tensor<T>,
    pub u: Tensor<T>,
}
Expand description

LU decomposition result: A = P * L * U (partial pivoting).

For an input of shape (m, n, *) with k = min(m, n):

  • p: permutation indices, shape (m, *)
  • l: shape (m, k, *) (unit lower triangular)
  • u: shape (k, n, *) (upper triangular)

§Examples

use tenferro_linalg::lu;
use tenferro_tensor::{Tensor, MemoryOrder};
use tenferro_device::LogicalMemorySpace;

let a = Tensor::<f64>::zeros(&[3, 3],
    LogicalMemorySpace::MainMemory, MemoryOrder::ColumnMajor);
let result = lu(&a).unwrap();

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§p: Vec<usize>

Row permutation indices (partial pivoting). Shape: (m, *).

§l: Tensor<T>

Unit lower triangular factor. Shape: (m, k, *).

§u: Tensor<T>

Upper triangular factor. Shape: (k, n, *).

Auto Trait Implementations§

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impl<T> Freeze for LuResult<T>

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impl<T> !RefUnwindSafe for LuResult<T>

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impl<T> Send for LuResult<T>

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impl<T> Sync for LuResult<T>

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impl<T> Unpin for LuResult<T>
where T: Unpin,

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impl<T> !UnwindSafe for LuResult<T>

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> 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.