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GDD700
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Price per Unit (piece): $9 500.00


GDD700

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 t

  • fully utilize advantages of TMS320C6000 parallel architecture, floating point arithmetic and pipeline. BLAS Level 1 functions are hand-coded in assembly t
  • 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
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    Last Updated: Tuesday, 09 March 2010 18:28