advanced_algorithms::numerical::qr_decomposition

Struct QRDecomposition

pub struct QRDecomposition { /* private fields */ }

Expand description

QR Decomposition result

Contains the Q (orthogonal) and R (upper triangular) matrices

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impl QRDecomposition

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pub fn decompose(matrix: &[Vec<f64>]) -> Result<Self>

Performs QR decomposition using Householder transformations

§Arguments

matrix - An m×n matrix where m >= n

§Returns

A QRDecomposition containing Q and R matrices

§Errors

Returns error if:

Matrix is empty
Matrix rows have inconsistent lengths
m < n (more columns than rows)

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pub fn q(&self) -> &[Vec<f64>]

Returns the Q matrix (orthogonal matrix)

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pub fn r(&self) -> &[Vec<f64>]

Returns the R matrix (upper triangular matrix)

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pub fn solve(&self, b: &[f64]) -> Result<Vec<f64>>

Solves the system Ax = b using QR decomposition

§Arguments

b - Right-hand side vector

§Returns

Solution vector x

Auto Trait Implementations§

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impl UnwindSafe for QRDecomposition

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