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HermitianLanczosOptions

Struct HermitianLanczosOptions 

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pub struct HermitianLanczosOptions {
    pub max_iter: usize,
    pub rtol: f64,
    pub atol: f64,
    pub breakdown_tol: f64,
    pub hermitian_tol: f64,
    pub verbose: bool,
}
Expand description

Options for hermitian_lanczos_lowest_eigenpair.

These options control the maximum Krylov subspace dimension, convergence tolerance, and validation tolerance for the small projected Hermitian matrix. When in doubt, use Default::default.

§Examples

use tensor4all_core::krylov::HermitianLanczosOptions;

let opts = HermitianLanczosOptions {
    max_iter: 32,
    rtol: 1.0e-9,
    ..HermitianLanczosOptions::default()
};
assert_eq!(opts.max_iter, 32);
assert_eq!(opts.rtol, 1.0e-9);

Fields§

§max_iter: usize

Maximum Krylov subspace dimension.

Larger values usually improve convergence but increase memory and the cost of the small Rayleigh-Ritz eigensolve. Default: 64.

§rtol: f64

Relative residual tolerance.

Convergence requires ||A v - lambda v|| <= max(atol, rtol * max(1, |lambda|)). Default: 1e-10.

§atol: f64

Absolute residual tolerance.

This is useful when targeting eigenvalues near zero. Default: 0.0.

§breakdown_tol: f64

Breakdown threshold for the next Krylov vector norm.

If the orthogonalized vector norm is at or below this value, the current Krylov subspace is treated as invariant and iteration stops. Default: 1e-14.

§hermitian_tol: f64

Hermitian validation tolerance for the projected Rayleigh-Ritz matrix.

The projected operator is rejected when V^dagger A V is not Hermitian within this absolute tolerance. Default: 1e-10.

§verbose: bool

Whether to print per-iteration residual information.

Default: false.

Trait Implementations§

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impl Clone for HermitianLanczosOptions

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fn clone(&self) -> HermitianLanczosOptions

Returns a duplicate of the value. Read more
1.0.0 (const: unstable) · Source§

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

Performs copy-assignment from source. Read more
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impl Debug for HermitianLanczosOptions

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

Formats the value using the given formatter. Read more
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impl Default for HermitianLanczosOptions

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fn default() -> Self

Returns the “default value” for a type. Read more

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