README.md

Zigen Examples

Runnable examples demonstrating Zigen's features. Each example is self-contained.

Running Examples

zig build run-<example_name>

Example Index

Getting Started

Example	Command	Description
basic_matrix.zig	zig build run-basic_matrix	Matrix creation, arithmetic, transpose, inverse, linear system solve
matrix_operations.zig	zig build run-matrix_operations	Element access, slicing, block operations, norms, condition numbers

Linear Algebra

Example	Command	Description
linear_algebra.zig	zig build run-linear_algebra	LU, QR, Cholesky, SVD decompositions; determinant, solve, least-squares
dynamic_decompositions.zig	zig build run-dynamic_decompositions	Runtime-sized LU/QR/Cholesky/SVD/EigenSolver with zero-allocation workspace reuse

Sparse & Iterative

Example	Command	Description
sparse_systems.zig	zig build run-sparse_systems	CSR sparse matrix build, SpMV, SparseLU/Cholesky, MatrixMarket I/O
iterative_solvers.zig	zig build run-iterative_solvers	Conjugate Gradient, BiCGSTAB for large sparse systems

Geometry

Example	Command	Description
geometry.zig	zig build run-geometry	Quaternions, rotations, SLERP, rigid body transforms, axis-angle

Applications

Example	Command	Description
data_analysis.zig	zig build run-data_analysis	PCA via SVD, covariance matrix, principal components
image_processing.zig	zig build run-image_processing	Convolution kernels, Gaussian blur, edge detection via matrices

Categories

Getting Started        → basic_matrix, matrix_operations
Linear Algebra         → linear_algebra, dynamic_decompositions
Sparse & Iterative     → sparse_systems, iterative_solvers
Geometry               → geometry
Applications           → data_analysis, image_processing