Crate torsh_linalg 

Linear algebra operations for ToRSh

This crate provides advanced linear algebra functionality including:

• Matrix decompositions (LU, QR, SVD, Eigenvalue)
• Solving linear systems
• Matrix functions (exp, log, sqrt)
• Special matrices

Re-exports

pub use numerical_stability::check_numerical_stability;

pub use numerical_stability::equilibrate_matrix;

pub use numerical_stability::unequilibrate_solution;

pub use numerical_stability::EquilibrationStrategy;

pub use numerical_stability::ScalingFactors;

pub use numerical_stability::StabilityConfig;

pub use advanced_ops::*;

pub use comparison::*;

pub use decomposition::*;

pub use matrix_functions::*;

pub use randomized::*;

pub use solvers::*;

pub use sparse::*;

pub use special_matrices::*;

pub use taylor::*;

pub use utils::*;

pub use scirs2_linalg_integration::*;

Modules

advanced_ops

Advanced matrix operations

attention

Attention mechanisms for transformer models

comparison

Matrix comparison and similarity operations

decomposition

Matrix decomposition algorithms

matrix_calculus

Matrix calculus operations for optimization and analysis

matrix_equations

Advanced matrix equation solvers

matrix_functions

Matrix functions

numerical_stability

Advanced numerical stability utilities for linear algebra operations

perf

Performance utilities and profiling helpers for linear algebra operations

prelude

Prelude module for convenient imports

quantization

Quantization-aware linear algebra operations

randomized

Randomized linear algebra algorithms for large-scale problems

scirs2_linalg_integration

Comprehensive scirs2-linalg integration for advanced linear algebra operations

solve

Linear system solvers

solvers

Linear algebra solver modules and unified interface

sparse

Sparse linear algebra operations and preconditioners

special_matrices

Special matrix constructors

taylor

Taylor series approximations for matrix functions

utils

Utility functions for linear algebra operations

Macros

time_block

Macro for timing a block of code

Structs

MatrixAnalysis

Matrix properties analysis result

Constants

VERSION

VERSION_MAJOR

VERSION_MINOR

VERSION_PATCH

Functions

analyze_matrix

Comprehensive matrix analysis for algorithm selection and numerical stability assessment

bmm

Batch matrix multiplication

cond

Compute the condition number of a matrix

cond_estimate

Advanced condition number estimation using iterative methods

det

Compute the determinant of a square matrix

einsum

Simplified einsum implementation for common patterns Currently supports basic patterns like “ij,jk->ik” (matrix multiplication) and “ii->i” (diagonal extraction)

inner

Compute the inner product (dot product) of two vectors

matmul

Matrix multiplication with broadcasting support

matrix_rank

Compute the matrix rank

matvec

Matrix-vector multiplication

outer

Compute the outer product of two vectors

stability_analysis

Numerical stability analysis

trace

Compute the trace (sum of diagonal elements)

vecmat

Vector-matrix multiplication

Type Aliases

TorshResult

Convenience type alias for Results in this crate