Struct SpectralRadiusComputer 

pub struct SpectralRadiusComputer {
    pub max_iters: u32,
    pub tol: f64,
}

Computes the spectral radius of a square matrix via the power method.

The power method applied to ||A^k||^{1/k} converges monotonically down to r(A) by the Gelfand formula.

Fields

max_iters: u32

Maximum number of iterations for the power iteration.

tol: f64

Convergence tolerance: stop when successive estimates differ by less than tol.

Implementations

impl SpectralRadiusComputer

pub fn new(max_iters: u32, tol: f64) -> Self

Create a new computer with given iteration count and tolerance.

pub fn default() -> Self

Default: 30 iterations, tolerance 1e-8.

pub fn compute(&self, mat: &SquareMatrix) -> f64

Compute the spectral radius of mat using the Gelfand formula r(A) = inf_k ||A^k||^{1/k}.

Returns the best estimate found within max_iters steps.

pub fn power_vector_method(&self, mat: &SquareMatrix, init: &[f64]) -> f64

Use the power-vector method: iterate v_{k+1} = A v_k / ||A v_k|| and track ||A v_k|| to estimate the dominant eigenvalue magnitude.

Trait Implementations

impl Clone for SpectralRadiusComputer

fn clone(&self) -> SpectralRadiusComputer

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for SpectralRadiusComputer

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

Formats the value using the given formatter.