Solvers

March 23, 2026 ยท View on GitHub

Numerical solvers for linear systems, polynomial roots, and matrix equations.

Algorithms

AlgorithmDescription
Cholesky DecompositionFast factorization for symmetric positive-definite matrices
Gaussian EliminationDirect solver for dense linear systems using partial pivoting
Levinson-DurbinFast solver for Toeplitz linear systems exploiting structural symmetry
Durand-KernerSimultaneous iterative root-finder for polynomials
Discrete Algebraic Riccati EquationIterative solver for the DARE arising in LQR and Kalman filter design