lapackpp

LAPACK++ provides a modern C++11 interface to LAPACK (Linear Algebra PACKage).

Categories:

• Utilities and Enumerations
  • Error Handling
  • Enumerations
  • Version Information
• Device (GPU) Operations
  • Queue Management
  • GPU Operations
  • Device Memory Types
• Performance Counters
  • Overview
  • FLOP Counting
  • Bandwidth Analysis
  • Usage Example
  • Supported Operations
  • Notes
• Matrix Factorizations
  • LU Factorization
  • Cholesky Factorization
  • QR Factorization
  • LQ Factorization
  • QL Factorization
  • RQ Factorization
  • Symmetric/Hermitian Factorizations
  • Triangular Factorizations
  • Bidiagonal Reduction
  • Tridiagonal Reduction
  • Hessenberg Reduction
  • Example Usage
  • Factorization Algorithms
  • Storage Efficiency
  • Performance Characteristics
  • Blocking and Level-3 BLAS
  • Choosing a Factorization
  • See Also
• Linear Systems
  • General (Non-Symmetric) Systems
  • Symmetric/Hermitian Positive Definite
  • Symmetric/Hermitian Indefinite
  • Triangular Systems
  • Band Matrices
  • Tridiagonal Systems
  • Symmetric Positive Definite Tridiagonal
  • See Also
• Least Squares and Linear Regression
  • Overview
  • QR-Based Least Squares
  • QR Factorization
  • LQ Factorization
  • QL and RQ Factorizations
  • Orthogonal Matrix Generation
  • Multiplication by Q
  • Complete Orthogonal Factorization
  • Constrained Least Squares
  • Rank Estimation
  • See Also
• Eigenvalue Problems
  • Overview
  • Standard Eigenvalue Problems
  • Generalized Eigenvalue Problems
  • Reduction to Standard Form
  • Auxiliary Reductions
  • Schur Form Manipulation
  • Eigenvector Computation
  • Balancing
  • Utility Functions
  • See Also
• Singular Value Decomposition (SVD)
  • Overview
  • Standard SVD
  • Specialized SVD Routines
  • Bidiagonal SVD
  • Bidiagonal Reduction
  • Generalized SVD (GSVD)
  • CS Decomposition (CSD)
  • Utility Functions
  • Rank and Pseudoinverse
  • Applications
  • See Also
• Auxiliary Functions
  • Matrix Norms
  • Condition Number Estimation
  • Equilibration and Scaling
  • Matrix Initialization and Copying
  • Matrix Addition
  • Householder Transformations
  • Givens Rotations
  • Matrix Multiplication (Triangular)
  • Special Matrix Operations
  • Permutations and Sorting
  • Workspace Queries
  • Error Checking and Diagnostics
  • See Also

Overview

LAPACK++ delivers comprehensive linear algebra functionality:

• Type Safety: C++ templates for float, double, complex<float>, complex<double>

• Error Handling: Exception-based via lapack::Error

• GPU Support: CUDA, ROCm/HIP, and SYCL backends

• BLAS++ Integration: Consistent API design

• 400+ Routines: Complete coverage of standard LAPACK

Key Features

• Solves linear systems: gesv, posv, sysv, gels

• Eigenvalue problems: syev, geev, gges

• Singular value decomposition: gesvd, gesdd, gesvdx

• Matrix factorizations: getrf, potrf, sytrf, geqrf

• Condition numbers and norms: gecon, lange, lansy

See Also

• LAPACK Documentation

• blaspp - BLAS++ Documentation