Struct QrFactorization 

pub struct QrFactorization {
    pub m: usize,
    pub n: usize,
    pub qr: Vec<f32>,
    pub tau: Vec<f32>,
}

QR factorization result.

Fields

m: usize

Rows.

n: usize

Columns.

qr: Vec<f32>

Householder vectors stored in lower triangle of QR, R in upper.

tau: Vec<f32>

Householder scalar factors (tau).

Implementations

impl QrFactorization

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

Extract R (upper triangular, n×n).

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

Extract Q (m×m orthogonal matrix).

Builds Q by applying Householder reflectors in reverse.

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

Solve Ax = b using QR: x = R^{-1} Q^T b (least-squares for overdetermined).

Errors

Returns error on dimension mismatch.

Trait Implementations

impl Debug for QrFactorization

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

Formats the value using the given formatter.

impl Solver for QrFactorization

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

Solve Ax = b using this factorization.

fn dimension(&self) -> usize

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