- Naming Conventions
- Error Handling
- Extensions to LAPACK
- Reciprocal Condition Number of an LU-Factored General Matrix in Banded Storage
- Equilibration Scale Factors for a General Matrix in Banded Storage
- Refined Solution to a Linear System in an LU-Factored General Matrix in Banded Storage
- Solution to a Linear System in a General Matrix in Banded Storage (Simple Driver)
- Solution to a Linear System in a General Matrix in Banded Storage (Expert Driver)
- LU Factorization of a General Matrix in Banded Storage
- Solution to a Linear System in an LU-Factored General Matrix in Banded Storage
- Reciprocal Condition Number of an LU-Factored General Matrix
- Equilibration Scale Factors for a General Matrix
- Eigenvalues, Schur Form, and Schur Factorization of a General Matrix (Simple Driver)
- Eigenvalues, Schur Form, and Schur Factorization of a General Matrix (Expert Driver)
- Eigenvalues and Eigenvectors of a General Matrix (Simple Driver)
- Eigenvalues, Eigenvectors, and Reciprocal Condition Numbers of a General Matrix (Expert Driver)
- Generalized Eigenvalues, Schur Form, and Schur Vectors of General Matrices
- Generalized Eigenvalues and Eigenvectors for General Matrices
- LQ Factorization of a General Matrix
- Solution to a Least Squares Problem for a Full-Rank General Matrix (Simple Driver)
- Solution to a Least Squares Problem for a Rank-Deficient General Matrix (Simple Driver)
- Solution to a Least Squares Problem for a Rank-Deficient General Matrix (Expert Driver)
- QL Factorization of a General Matrix
- QR Factorization with Column Pivoting of a General Matrix
- QR Factorization of a General Matrix
- Refined Solution to a Linear System in an LU-Factored General Matrix
- RQ Factorization of a General Matrix
- Solution to a Linear System in a General Matrix (Simple Driver)
- Singular Value Decomposition of a General Matrix
- Solution to a Linear System in a General Matrix (Expert Driver)
- LU Factorization of a General Matrix
- Inverse of an LU-Factored General Matrix
- Solution to a Linear System in an LU-Factored General Matrix
- Solution to a Generalized Linear Regression Model Problem
- Solution to a Linear Equality Constrained Least Squares Problem
- Generalized Singular Value Decomposition of General Matrices
- Reciprocal Condition Number of an LU-Factored Tridiagonal Matrix
- Refined Solution to a Linear System in an LU-Factored General Tridiagonal Matrix
- Solution to a Linear System in a General Tridiagonal Matrix (Simple Driver)
- Solution to a Linear System in a General Tridiagonal Matrix (Expert Driver)
- LU Factorization of a Tridiagonal Matrix
- Solution to a Linear System in an LU-Factored General Tridiagonal Matrix
- Eigenvalues and Eigenvectors of a Hermitian Matrix in Banded Storage (Simple Driver)
- Eigenvalues and Eigenvectors of a Hermitian Matrix in Banded Storage (Expert Driver)
- Reciprocal Condition Number of a UDU- or LDL-Factored Hermitian Matrix
- Eigenvalues and Eigenvectors of a Hermitian Matrix (Simple Driver)
- Eigenvalues and Eigenvectors of a Hermitian Matrix (Expert Driver)
- Generalized Eigenvalues and Eigenvectors for Hermitian Matrices
- Refined Solution to a Linear System in a UDU- or LDL-Factored Hermitian Matrix
- Solution to a Linear System in a Hermitian Matrix (Simple Driver)
- Solution to a Linear System in a Hermitian Matrix (Expert Driver)
- UDU or LDL Factorization of a Hermitian Matrix
- Inverse of a UDU- or LDL-Factored Hermitian Matrix
- Solution to a Linear System in a UDU- or LDL-Factored Hermitian Matrix
- Reciprocal Condition Number of a UDU- or LDL-Factored Hermitian Matrix in Packed Storage
- Eigenvalues and Eigenvectors of a Hermitian Matrix in Packed Storage (Simple Driver)
- Eigenvalues and Eigenvectors of a Hermitian Matrix in Packed Storage (Expert Driver)
- Generalized Eigenvalues and Eigenvectors for Hermitian Matrices in Packed Storage
- Refined Solution to a Linear System in a UDU- or LDL-Factored Hermitian Matrix in Packed Storage
- Solution to a Linear System in a Hermitian Matrix in Packed Storage (Simple Driver)
- Solution to a Linear System in a Hermitian Matrix in Packed Storage (Expert Driver)
- UDU or LDL Factorization of a Hermitian Matrix in Packed Storage
- Inverse of a UDU- or LDL-Factored Hermitian Matrix in Packed Storage
- Solution to a Linear System in a UDU- or LDL-Factored Hermitian Matrix in Packed Storage
- Generation of Q Defined in LQ Factorization
- Generation of Q Defined in QL Factorization
- Generation of Q Defined in QR Factorization
- Generation of Q Defined in RQ Factorization
- Reciprocal Condition Number of a Cholesky-Factored Symmetric Positive Definite Matrix in Banded Storage
- Equilibration Scale Factors for a Symmetric Positive Definite Matrix in Banded Storage
- Refined Solution to a Linear System in a Cholesky-Factored Symmetric Positive Definite Matrix in Banded Storage
- Solution to a Linear System in a Symmetric Positive Definite Matrix in Banded Storage (Simple Driver)
- Solution to a Linear System in a Symmetric Positive Definite Matrix in Banded Storage (Expert Driver)
- Cholesky Factorization of a Symmetric Positive Definite Matrix in Banded Storage
- Solution to a Linear System in a Cholesky-Factored Symmetric Positive Definite Matrix in Banded Storage
- Reciprocal Condition Number of a Cholesky-Factored Symmetric Positive Definite Matrix
- Equilibration Scale Factors for a Symmetric Positive Definite Matrix
- Refined Solution to a Linear System in a Cholesky-Factored Symmetric Positive Definite Matrix
- Solution to a Linear System in a Symmetric Positive Definite Matrix (Simple Driver)
- Solution to a Linear System in a Symmetric Positive Definite Matrix (Expert Driver)
- Cholesky Factorization of a Symmetric Positive Definite Matrix
- Inverse of a Cholesky-Factored Symmetric Positive Definite Matrix
- Solution to a Linear System in a Cholesky-Factored Symmetric Positive Definite Matrix
- Reciprocal Condition Number of a Cholesky-Factored Symmetric Positive Definite Matrix in Packed Storage
- Equilibration Scale Factors for a Symmetric Positive Definite Matrix in Packed Storage
- Refined Solution to a Linear System in a Cholesky-Factored Symmetric Positive Definite Matrix in Packed Storage
- Solution to a Linear System in a Symmetric Positive Definite Matrix in Packed Storage (Simple Driver)
- Solution to a Linear System in a Symmetric Positive Definite Matrix in Packed Storage (Expert Driver)
- Cholesky Factorization of a Symmetric Positive Definite Matrix in Packed Storage
- Inverse of a Cholesky-Factored Symmetric Positive Definite Matrix in Packed Storage
- Solution to a Linear System in a Cholesky-Factored Symmetric Positive Definite Matrix in Packed Storage
- Reciprocal Condition Number of a UDU- or LDL-Factored Symmetric Positive Definite Tridiagonal Matrix
- Refined Solution to a Linear System in a UDU- or LDL-Factored Symmetric Positive Definite Tridiagonal Matrix
- Solution to a Linear System in a Symmetric Positive Definite Tridiagonal Matrix (Simple Driver)
- Solution to a Linear System in a Symmetric Positive Definite Tridiagonal Matrix (Expert Driver)
- UDU or LDL Factorization of a Symmetric Positive Definite Tridiagonal Matrix
- Solution to a Linear System in a UDU- or LDL-Factored Symmetric Positive Definite Tridiagonal Matrix
- Eigenvalues and Eigenvectors of a Symmetric Matrix in Banded Storage (Simple Driver)
- Eigenvalues and Eigenvectors of a Symmetric Matrix in Banded Storage (Expert Driver)
- Reciprocal Condition Number of a UDU- or LDL-Factored Symmetric Matrix in Packed Storage
- Eigenvalues and Eigenvectors of a Symmetric Matrix in Packed Storage (Simple Driver)
- Eigenvalues and Eigenvectors of a Symmetric Matrix in Packed Storage (Expert Driver)
- Generalized Eigenvalues and Eigenvectors for Symmetric Matrices in Packed Storage
- Refined Solution to a Linear System in a UDU- or LDL-Factored Symmetric Matrix in Packed Storage
- Solution to a Linear System in a Symmetric Matrix in Packed Storage (Simple Driver)
- Solution to a Linear System in a Symmetric Matrix in Packed Storage (Expert Driver)
- UDU or LDL Factorization of a Symmetric Matrix in Packed Storage
- Inverse of a UDU- or LDL-Factored Symmetric Matrix in Packed Storage
- Solution to a Linear System in a UDU- or LDL-Factored Symmetric Matrix in Packed Storage
- Eigenvalues and Eigenvectors of a Symmetric Tridiagonal Matrix (Simple Driver)
- Eigenvalues and Eigenvectors of a Symmetric Tridiagonal Matrix (Expert Driver)
- Reciprocal Condition Number of a UDU- or LDL-Factored Symmetric Matrix
- Eigenvalues and Eigenvectors of a Symmetric Matrix (Simple Driver)
- Eigenvalues and Eigenvectors of a Symmetric Matrix (Expert Driver)
- Generalized Eigenvalues and Eigenvectors for Symmetric Matrices
- Refined Solution to a Linear System in a UDU- or LDL-Factored Symmetric Matrix
- Solution to a Linear System in a Symmetric Matrix (Simple Driver)
- Solution to a Linear System in a Symmetric Matrix (Expert Driver)
- UDU or LDL Factorization of a Symmetric Matrix
- Inverse of a UDU- or LDL-Factored Symmetric Matrix
- Solution to a Linear System in a UDU- or LDL-Factored Symmetric Matrix
- Reciprocal Condition Number of a Triangular Matrix in Banded Storage
- Error Bounds and Estimates for the Solution to a Linear System in a Triangular Matrix in Banded Storage
- Solution to a Linear System in a Triangular Matrix in Banded Storage
- Reciprocal Condition Number of a Triangular Matrix in Packed Storage
- Error Bounds and Estimates for the Solution of a Linear System in a Triangular Matrix in Packed Storage
- Inverse of a Triangular Matrix in Packed Storage
- Solution to a Linear System in a Triangular Matrix in Packed Storage
- Reciprocal Condition Number of a Triangular Matrix
- Error Bounds and Estimates for the Solution of a Linear System in a Triangular Matrix
- Inverse of a Triangular Matrix
- Solution to a Linear System in a Triangular Matrix

- Naming Conventions
- Argument Conventions
- Error Handling
- Extensions to LINPACK
- Cholesky Decomposition of a Symmetric Positive Definite Matrix
- Downdate an Augmented Cholesky Decomposition
- Update an Augmented Cholesky Decomposition with Permutations
- Update an Augmented Cholesky Decomposition
- LU Factorization and Condition Number of a General Matrix in Banded Storage
- Determinant of an LU-Factored General Matrix in Banded Storage
- LU Factorization of a General Matrix in Banded Storage
- Solution to a Linear System in an LU-Factored Matrix in Banded Storage
- LU Factorization and Condition Number of a General Matrix
- Determinant and Inverse of an LU-Factored General Matrix
- LU Factorization of a General Matrix
- Solution to a Linear System in an LU-Factored General Matrix
- Solution to a Linear System in a Tridiagonal Matrix
- UDU Factorization and Condition Number of a Hermitian Matrix
- Determinant, Inertia, and Inverse of a UDU-Factored Hermitian Matrix
- UDU Factorization of a Hermitian Matrix
- Solution to a Linear System in a UDU-Factored Hermitian Matrix
- UDU Factorization and Condition Number of a Hermitian Matrix in Packed Storage
- Determinant, Inertia, and Inverse of a UDU-Factored Hermitian Matrix in Packed Storage
- UDU Factorization of a Hermitian Matrix in Packed Storage
- Solution to a Linear System in a UDU-Factored Hermitian Matrix in Packed Storage
- Cholesky Factorization and Condition Number of a Symmetric Positive Definite Matrix in Banded Storage
- Determinant of a Cholesky-Factored Symmetric Positive Definite Matrix in Banded Storage
- Cholesky Factorization of a Symmetric Positive Definite Matrix in Banded Storage
- Solution to a Linear System in a Cholesky-Factored Symmetric Positive Definite Matrix in Banded Storage
- Cholesky Factorization and Condition Number of a Symmetric Positive Definite Matrix
- Determinant and Inverse of a Cholesky-Factored Symmetric Positive Definite Matrix
- Cholesky Factorization of a Symmetric Positive Definite Matrix
- Solution to a Linear System in a Cholesky-Factored Symmetric Positive Definite Matrix
- Cholesky Factorization and Condition Number of a Symmetric Positive Definite Matrix in Packed Storage
- Determinant and Inverse of a Cholesky-Factored Symmetric Positive Definite Matrix in Packed Storage
- Cholesky Factorization of a Symmetric Positive Definite Matrix in Packed Storage
- Solution to a Linear System in a Cholesky-Factored Symmetric Positive Definite Matrix in Packed Storage
- Solution to a Linear System in a Symmetric Positive Definite Tridiagonal Matrix
- QR Factorization of a General Matrix
- Solution to a Linear System in a QR-Factored General Matrix
- UDU Factorization and Condition Number of a Symmetric Matrix
- Determinant, Inertia, and Inverse of a UDU-Factored Symmetric Matrix
- UDU Factorization of a Symmetric Matrix
- Solution to a Linear System in a UDU-Factored Symmetric Matrix
- UDU Factorization and Condition Number of a Symmetric Matrix in Packed Storage
- Determinant, Inertia, and Inverse of a UDU-Factored Symmetric Matrix in Packed Storage
- UDU Factorization of a Symmetric Matrix in Packed Storage
- Solution to a Linear System in a UDU-Factored Symmetric Matrix in Packed Storage
- Singular Value Decomposition of a General Matrix
- Condition Number of a Triangular Matrix
- Determinant and Inverse of a Triangular Matrix
- Solution to a Linear System in a Triangular Matrix

- Conventions
- Extensions to the Basic Linear Algebra Subprograms
- Sum of the Absolute Values of a Vector
- Product of a Scalar and Vector Plus a Vector
- Copy a Vector
- Dot Product (Inner Product)
- Givens Plane Rotation
- Applied Given's Plane Rotation
- Modified Given's Plane Rotation
- Applied Modified Given's Transformation
- Index of Element with Maximum Absolute Value
- Euclidean Norm of a Vector
- Scale a Vector
- Swap Two Vectors

- Naming Conventions
- Argument Conventions
- Error Handling
- Extensions to the Basic Linear Algebra Subprograms
- Product of a Matrix in Banded Storage and a Vector
- Product of a General Matrix and a Vector
- Rank-1 Update to a General Matrix
- Product of a Hermitian Matrix in Banded Storage and a Vector
- Product of a Hermitian Matrix and a Vector
- Rank-1 Update to a Hermitian Matrix
- Rank-2 Update to a Hermitian Matrix
- Product of a Hermitian Matrix in Packed Storage and a Vector
- Rank-1 Update to a Hermitian Matrix in Packed Storage
- Rank-2 Update to a Hermitian Matrix in Packed Storage
- Product of a Symmetric Matrix in Banded Storage and a Vector
- Product of a Symmetric Matrix in Packed Storage and a Vector
- Rank-1 Update to a Real Symmetric Matrix in Packed Storage
- Rank-2 Update to a Real Symmetric Matrix in Packed Storage
- Product of a Symmetric Matrix and a Vector
- Rank-1 Update to a Real Symmetric Matrix
- Rank-2 Update to a Real Symmetric Matrix
- Product of a Triangular Matrix in Banded Storage and a Vector
- Solution to a Triangular System in Banded Storage of Linear Equations
- Product of a Triangular Matrix in Packed Storage and a Vector
- Solution to a Triangular System of Linear Equations in Packed Storage
- Product of a Triangular Matrix and a Vector
- Solution to a Triangular System of Linear Equations

- Naming Conventions
- Argument Conventions
- Error Handling
- Extensions to the Basic Linear Algebra Subprograms
- Product of Two General Matrices
- Product of a Hermitian Matrix and a General Matrix
- Rank-k Update of a Hermitian Matrix
- Rank-2k Update of a Hermitian Matrix
- Product of a Symmetric Matrix and a General Matrix
- Rank-k Update of a Symmetric Matrix
- Rank-2k Update of a Symmetric Matrix
- Product of a Triangular Matrix and a General Matrix
- Solution for a Triangular System of Equations

- Naming Conventions
- Extensions to FFTPACK and VFFTPACK
- Transpose Array
- Cosine Quarter-Wave Synthesis
- Cosine Quarter-Wave Transform
- Initialize Cosine Quarter-Wave Transform and Synthesis
- Cosine Even-Wave Transform
- Initialize Cosine Even-Wave Transform
- EZ Fourier Synthesis
- EZ Fourier Transform
- Initialize EZ Fourier Transform and Synthesis
- Fourier Synthesis
- Fourier Transform
- Initialize Fourier Transform and Synthesis
- Sine Quarter-Wave Synthesis
- Sine Quarter-Wave Transform
- Initialize Sine Quarter-Wave Transform and Synthesis
- Sine Odd-Wave Transform
- Initialize Sine Odd-Wave Transform