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Sun Performance Library Reference Manual

Contents

Preface

Introduction to the Sun Performance Library

1. LAPACK Subroutines

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

2. LINPACK Subroutines

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

3. Basic Linear Algebra Subprograms, Level 1 (BLAS1)

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

4. Basic Linear Algebra Subprograms, Level 2 (BLAS2)

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

5. Basic Linear Algebra Subprograms, Level 3 (BLAS3)

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

6. Fast Fourier Transform Subroutines (FFTPACK and VFFTPACK)

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
Two-Dimensional Fourier Synthesis
Two-Dimensional Fourier Transform
Initialize Two-Dimensional Fourier Transform or Synthesis
Three-Dimensional Fourier Synthesis
Three-Dimensional Fourier Transform
Initialize Three-Dimensional Fourier Transform or Synthesis
Convolution or Correlation
Two-Dimensional Convolution or Correlation

A. List of Subprograms by Name


 

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