Struct russell_sparse::StatsLinSolMUMPS

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pub struct StatsLinSolMUMPS {
    pub inf_norm_a: f64,
    pub inf_norm_x: f64,
    pub scaled_residual: f64,
    pub backward_error_omega1: f64,
    pub backward_error_omega2: f64,
    pub normalized_delta_x: f64,
    pub condition_number1: f64,
    pub condition_number2: f64,
}
Expand description

Holds the results of MUMPS error analysis (“stats”)

See page 40 of MUMPS User’s guide

MUMPS: computes the backward errors omega1 and omega2 (page 14):

                                      |b - A · x_bar|ᵢ
omega1 = largest_scaled_residual_of ————————————————————
                                    (|b| + |A| |x_bar|)ᵢ

                                           |b - A · x_bar|ᵢ
omega2 = largest_scaled_residual_of ——————————————————————————————————
                                    (|A| |x_approx|)ᵢ + ‖Aᵢ‖∞ ‖x_bar‖∞

where x_bar is the actual (approximate) solution returned by the linear solver

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§inf_norm_a: f64

Holds the infinite norm of the input matrix, RINFOG(4)

§inf_norm_x: f64

Holds the infinite norm of the computed solution, RINFOG(5)

§scaled_residual: f64

Holds the scaled residual, RINFOG(6)

§backward_error_omega1: f64

Holds the backward error estimate omega1, RINFOG(7)

§backward_error_omega2: f64

Holds the backward error estimate omega2, RINFOG(8)

§normalized_delta_x: f64

Holds the normalized variation of the solution vector, RINFOG(9)

Requires the full “stat” analysis.

§condition_number1: f64

Holds the condition number1, RINFOG(10)

Requires the full “stat” analysis.

§condition_number2: f64

Holds the condition number2, RINFOG(11)

Requires the full “stat” analysis.

Trait Implementations§

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impl Clone for StatsLinSolMUMPS

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fn clone(&self) -> StatsLinSolMUMPS

Returns a copy 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 Debug for StatsLinSolMUMPS

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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<'de> Deserialize<'de> for StatsLinSolMUMPS

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fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>
where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer. Read more
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impl Serialize for StatsLinSolMUMPS

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fn serialize<__S>(&self, __serializer: __S) -> Result<__S::Ok, __S::Error>
where __S: Serializer,

Serialize this value into the given Serde serializer. Read more

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fn type_id(&self) -> TypeId

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where T: ?Sized,

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fn borrow(&self) -> &T

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impl<T> BorrowMut<T> for T
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fn borrow_mut(&mut self) -> &mut T

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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
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type Error = Infallible

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fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

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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

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fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.
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impl<T> DeserializeOwned for T
where T: for<'de> Deserialize<'de>,