Struct DenseMatrix 

pub struct DenseMatrix {
    pub rows: usize,
    pub cols: usize,
    pub data: Vec<Vec<f64>>,
}

A Rust-level dense matrix over f64 for computational purposes.

Fields

rows: usize

Number of rows.

cols: usize

Number of columns.

data: Vec<Vec<f64>>

Row-major storage of matrix entries.

Implementations

impl DenseMatrix

pub fn zero(rows: usize, cols: usize) -> Self

Create a new zero matrix.

pub fn identity(n: usize) -> Self

Create the identity matrix.

pub fn get(&self, r: usize, c: usize) -> f64

Get element.

pub fn set(&mut self, r: usize, c: usize, v: f64)

Set element.

pub fn add(&self, other: &DenseMatrix) -> Option<DenseMatrix>

Matrix addition.

pub fn mul(&self, other: &DenseMatrix) -> Option<DenseMatrix>

Matrix multiplication.

pub fn scale(&self, s: f64) -> DenseMatrix

Scalar multiplication.

pub fn transpose(&self) -> DenseMatrix

Transpose.

pub fn trace(&self) -> f64

Trace (sum of diagonal elements).

pub fn norm_sq(&self) -> f64

Frobenius norm squared.

pub fn det(&self) -> Option<f64>

Determinant via Gaussian elimination (for small matrices).

pub fn row_echelon(&self) -> (DenseMatrix, usize)

Gaussian elimination: returns (row echelon form, rank).

pub fn rank(&self) -> usize

Compute rank.

pub fn is_symmetric(&self) -> bool

Check if symmetric.

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

Solve A·x = b via Gaussian elimination (returns None if singular).

Trait Implementations

impl Clone for DenseMatrix

fn clone(&self) -> DenseMatrix

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for DenseMatrix

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

Formats the value using the given formatter.