GDD7000
Hand coded optimised
LINPACK library for solving general and specialized linear systems, incl. 20
run-time licensees
GDD-7000 Extended C Callable
LINPACK LINEAR ALGEBRAIC SYSTEMS PACKAGE for TMS320C6000.
The library is a set of about 100
functions and macros that solves algebraic systems of linear equations with
various matrices, real or complex, general, band, symmetric, Toeplitz and
others. Several types of matrix decompositions like SVD or QR can be performed
by the library functions. The input matrices and right-hand side (RHS) vectors
as well as the solution are set and found as IEEE-754 floating point format
numbers.
A set of memory allocation functions provides with economical storage for
general/structured matrix classes. By using these memory allocation routines the
amount of RAM storage is minimized for structured types of matrices, like
symmetric, band and triangular classes of matrices.
The library is supported for use in any development environment using TI Code
Generation Tools for the TMS320C6000 DSP and for both big endian and little
endian memory formats. All the functions are C callable and comply with TI's C
environment calling conventions.
The library implements and make use of complete Level 1 BLAS (Basic Linear
Algebra Subroutines) standard.
Library's functions have been optimised algorithmically at the assembly level to
fully utilize advantages of TMS320C6000 parallel architecture, floating point
arithmetic and pipeline. BLAS Level 1 functions are hand-coded in assembly to
obtain maximum possible performance of the TMS320C6000 DSPs.
The library can be used in various application areas providing with a set of
solvers of systems of linear equations with different matrix types. The user's
manual gives the details on using library functions.
Functions
SINGULAR VALUE DECOMPOSITION
SVD of real matrices
SVD of
complex matrices
QR DECOMPOSITION AND LEAST SQUARES PROBLEM (REAL MATRICES)
Driver for QRDecomposition Problems
QR
Decomposition
Least Squares
Solution of Linear Systems
QR DECOMPOSITION AND LEAST SQUARES PROBLEM (COMPLEX MATRICES)
Driver for QRDecomposition Problems
QR
Decomposition
Least Squares
Solution of Linear Systems
CHOLESKY DECOMPOSITION, UPDATES (REAL MATRICES)
Cholesky Decomposition
Rank 1 update
Cholesky or QR Decomposition
Rank 1
downdate Cholesky or QR Decomposition
Permutation
update Cholesky or QR Decomposition
CHOLESKY DECOMPOSITION, UPDATES (COMPLEX MATRICES)
Cholesky Decomposition
Rank 1 update
Cholesky or QR Decomposition
Rank 1
downdate Cholesky or QR Decomposition
Permutation
update Cholesky or QR Decomposition
VECTOR ELEMENTS PERMUTATIONS
Real vector elements permutation
Complex
vector elements permutation
REAL GENERAL LINEAR SYSTEMS
LU/LR (Gaussian) Factorization and Reciprocal Condition Number
LU/LR
(Gaussian) Factorization
Determinant
and Inverse Matrix
Solution of
System of Linear Equations
Iterative
refinement of the solution
COMPLEX GENERAL LINEAR SYSTEMS
LU/LR (Gaussian) Factorization and Reciprocal Condition Number
LU/LR
(Gaussian) Factorization
Determinant
and Inverse Matrix
Solution of
System of Linear Equations
Iterative
refinement of the solution
REAL SYMMETRIC LINEAR SYSTEMS
LTDL Factorization and Reciprocal Condition Number
LTDL
Factorization
Determinant
and Inverse Matrix
Solution of
System of Linear Equations
REAL POSITIVE DEFINITE SYMMETRIC LINEAR SYSTEMS
LLT Factorization and Reciprocal Condition Number
LLT
Factorization
Determinant
and Inverse Matrix
Solution of
System of Linear Equations
COMPLEX SYMMETRIC LINEAR SYSTEMS
LTDL Factorization and Reciprocal Condition Number
LTDL
Factorization
Determinant
and Inverse Matrix
Solution of
System of Linear Equations
HERMITIAN LINEAR SYSTEMS
LHDL Factorization and Reciprocal Condition Number
LHDL
Factorization
Determinant
and Inverse Matrix
Solution of System of Linear Equations
POSITIVE DEFINITE HERMITIAN LINEAR SYSTEMS
LLH Factorization and Reciprocal Condition Number
LLH
Factorization
Determinant
and Inverse Matrix
Solution of System of Linear Equations
REAL GENERAL BAND LINEAR SYSTEMS
LU Factorization and Reciprocal Condition Number
LU
Factorization
Determinant
Solution of
System of Linear Equations
COMPLEX GENERAL BAND LINEAR SYSTEMS
LU Factorization and Reciprocal Condition Number
LU
Factorization
Determinant
Solution of
System of Linear Equations
REAL POSITIVE DEFINITE SYMMETRIC BAND LINEAR SYSTEMS
LLT Factorization and Reciprocal Condition Number
LLT
Factorization
Determinant
Solution of
System of Linear Equations
POSITIVE DEFINITE HERMITIAN BAND LINEAR SYSTEMS
LLH Factorization and Reciprocal Condition Number
LLH
Factorization
Determinant
Solution of
System of Linear Equations
REAL TRIDIAGONAL LINEAR SYSTEMS
Solution of System of Linear Equations, Matrix Storage
Solution of
System of Linear Equations, Vector Storage
REAL POSITIVE DEFINITE SYMMETRIC TRIDIAGONAL LINEAR SYSTEMS
Solution of System of Linear Equations, Matrix Storage
Solution of
System of Linear Equations, Vector Storage
COMPLEX TRIDIAGONAL LINEAR SYSTEMS
Solution of System of Linear Equations, Matrix Storage
Solution of
System of Linear Equations, Vector Storage
POSITIVE DEFINITE HERMITIAN TRIDIAGONAL LINEAR SYSTEMS
Solution of System of Linear Equations, Matrix Storage
Solution of
System of Linear Equations, Vector Storage
REAL TRIANGULAR LINEAR SYSTEMS
Reciprocal Condition Number
Determinant
and Inverse Matrix
Solution of
System of Linear Equations
COMPLEX TRIANGULAR LINEAR SYSTEMS
Reciprocal Condition Number
Determinant
and Inverse Matrix
Solution of
System of Linear Equations
REAL TOEPLITZ LINEAR SYSTEMS
Determinant and Inverse Matrix
Solution of
System of Linear Equations
REAL SYMMETRIC TOEPLITZ LINEAR SYSTEMS
Solution of Autoregression Model
Determinant
and Inverse Matrix
Solution of
System of Linear Equations
COMPLEX TOEPLITZ LINEAR SYSTEMS
Determinant and Inverse Matrix
Solution of
System of Linear Equations
HERMITIAN TOEPLITZ LINEAR SYSTEMS
Solution of Autoregression Model
Determinant
and Inverse Matrix
Solution of
System of Linear Equations
MEMORY STORAGE ALLOCATION (REAL MATRICES/VECTORS)
Allocate storage for a real vector (macro)
Allocate
storage for a real general matrix
Allocate
storage for a real general band matrix
Allocate
storage for a real symmetric/triangular matrix
Allocate
storage for a real symmetric/triangular band matrix
MEMORY STORAGE ALLOCATION (COMPLEX MATRICES/VECTORS)
Allocate storage for a complex vector (macro)
Allocate
storage for a complex general matrix
Allocate
storage for a complex general band matrix
Allocate
storage for a complex symmetric/hermitian/triangular matrix
Allocate
storage for a complex symmetric/hermitian/triangular band matrix