forked from M-Labs/nalgebra
Move the col_piv_qr method to the decomposition module.
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693e6d0035
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598c217d75
@ -331,16 +331,3 @@ where
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res * self.p.determinant()
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res * self.p.determinant()
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}
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}
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}
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}
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impl<N: ComplexField, R: DimMin<C>, C: Dim, S: Storage<N, R, C>> Matrix<N, R, C, S>
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where
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DefaultAllocator: Allocator<N, R, C>
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+ Allocator<N, R>
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+ Allocator<N, DimMinimum<R, C>>
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+ Allocator<(usize, usize), DimMinimum<R, C>>,
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{
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/// Computes the QR decomposition (with column pivoting) of this matrix.
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pub fn col_piv_qr(self) -> ColPivQR<N, R, C> {
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ColPivQR::new(self.into_owned())
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}
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}
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@ -1,8 +1,8 @@
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use crate::storage::Storage;
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use crate::storage::Storage;
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use crate::{
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use crate::{
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Allocator, Bidiagonal, Cholesky, ComplexField, DefaultAllocator, Dim, DimDiff, DimMin,
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Allocator, Bidiagonal, Cholesky, ColPivQR, ComplexField, DefaultAllocator, Dim, DimDiff,
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DimMinimum, DimSub, FullPivLU, Hessenberg, Matrix, Schur, SymmetricEigen, SymmetricTridiagonal,
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DimMin, DimMinimum, DimSub, FullPivLU, Hessenberg, Matrix, Schur, SymmetricEigen,
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LU, QR, SVD, U1,
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SymmetricTridiagonal, LU, QR, SVD, U1,
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};
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};
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/// # Rectangular matrix decomposition
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/// # Rectangular matrix decomposition
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@ -13,8 +13,9 @@ use crate::{
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/// | Decomposition | Factors | Details |
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/// | Decomposition | Factors | Details |
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/// | -------------------------|---------------------|--------------|
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/// | -------------------------|---------------------|--------------|
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/// | QR | `Q * R` | `Q` is an unitary matrix, and `R` is upper-triangular. |
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/// | QR | `Q * R` | `Q` is an unitary matrix, and `R` is upper-triangular. |
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/// | QR with column pivoting | `Q * R * P⁻¹` | `Q` is an unitary matrix, and `R` is upper-triangular. `P` is a permutation matrix. |
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/// | LU with partial pivoting | `P⁻¹ * L * U` | `L` is lower-triangular with a diagonal filled with `1` and `U` is upper-triangular. `P` is a permutation matrix. |
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/// | LU with partial pivoting | `P⁻¹ * L * U` | `L` is lower-triangular with a diagonal filled with `1` and `U` is upper-triangular. `P` is a permutation matrix. |
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/// | LU with full pivoting | `P⁻¹ * L * U ~ Q⁻¹` | `L` is lower-triangular with a diagonal filled with `1` and `U` is upper-triangular. `P` and `Q` are permutation matrices. |
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/// | LU with full pivoting | `P⁻¹ * L * U * Q⁻¹` | `L` is lower-triangular with a diagonal filled with `1` and `U` is upper-triangular. `P` and `Q` are permutation matrices. |
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/// | SVD | `U * Σ * Vᵀ` | `U` and `V` are two orthogonal matrices and `Σ` is a diagonal matrix containing the singular values. |
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/// | SVD | `U * Σ * Vᵀ` | `U` and `V` are two orthogonal matrices and `Σ` is a diagonal matrix containing the singular values. |
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impl<N: ComplexField, R: Dim, C: Dim, S: Storage<N, R, C>> Matrix<N, R, C, S> {
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impl<N: ComplexField, R: Dim, C: Dim, S: Storage<N, R, C>> Matrix<N, R, C, S> {
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/// Computes the bidiagonalization using householder reflections.
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/// Computes the bidiagonalization using householder reflections.
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@ -60,6 +61,18 @@ impl<N: ComplexField, R: Dim, C: Dim, S: Storage<N, R, C>> Matrix<N, R, C, S> {
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QR::new(self.into_owned())
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QR::new(self.into_owned())
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}
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}
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/// Computes the QR decomposition (with column pivoting) of this matrix.
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pub fn col_piv_qr(self) -> ColPivQR<N, R, C>
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where
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R: DimMin<C>,
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DefaultAllocator: Allocator<N, R, C>
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+ Allocator<N, R>
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+ Allocator<N, DimMinimum<R, C>>
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+ Allocator<(usize, usize), DimMinimum<R, C>>,
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{
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ColPivQR::new(self.into_owned())
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}
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/// Computes the Singular Value Decomposition using implicit shift.
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/// Computes the Singular Value Decomposition using implicit shift.
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pub fn svd(self, compute_u: bool, compute_v: bool) -> SVD<N, R, C>
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pub fn svd(self, compute_u: bool, compute_v: bool) -> SVD<N, R, C>
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where
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where
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