matrix_traits Namespace Reference

Enumerations
enum class	Definiteness { NotPositiveDefinite = 0 , PositiveSemiDefinite = 1 , PositiveDefinite = 2 }
	Describes the definiteness of a symmetric matrix. More...
enum class	MatrixStatus : unsigned char {   Ok = 0 , NotPositiveDefinite , Singular , NearSingular ,   NotSymmetric , NotConverged , DimensionMismatch }
	Error codes for matrix decomposition and solver algorithms. More...

Enumeration Type Documentation

Definiteness

enum class matrix_traits::Definiteness

strong

Describes the definiteness of a symmetric matrix.

Determined at runtime (e.g. via Cholesky decomposition or eigenvalue inspection). Ordered so that higher values imply a strictly stronger condition.

Enumerator
NotPositiveDefinite	Neither positive definite nor semi-definite.
PositiveSemiDefinite	All eigenvalues ≥ 0.
PositiveDefinite	All eigenvalues > 0.

MatrixStatus

enum class matrix_traits::MatrixStatus : unsigned char

strong

Error codes for matrix decomposition and solver algorithms.

Used as the error type in Expected<T, MatrixStatus> for matrix operations that can fail (Cholesky, LU, solve, inverse, etc.).

Enumerator
Ok	Operation succeeded.
NotPositiveDefinite	Matrix is not positive definite (Cholesky).
Singular	Matrix is singular or has a zero pivot (LU, solve, inverse).
NearSingular	Condition number exceeds threshold (advisory).
NotSymmetric	Matrix is not symmetric (Cholesky, Jacobi eigenvalue).
NotConverged	Iterative method did not converge within max iterations.
DimensionMismatch	Operand dimensions are incompatible.