6 Linear Algebra Functions

Core

This manual is preliminary and incomplete.
While our Core implementation implements all functions given in the standard we are still working on completing this documentation.

Please refer to the VSIPL standard for a complete function reference of the Core profile until we have completed work on this documentation.

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Chapter 6
Linear Algebra Functions

6.1 Matrix and Vector Operations
6.1.1 vsip_dvdot_p - Compute the Dot Product of Two Vector Views
6.1.2 vsip_cvjdot_p - Compute the Conjugate Dot Product of Two Complex Vector Views
6.1.3 vsip_dvouter_p - Outer Product of Two Vectors
6.1.4 vsip_dmtrans_p - Matrix Transposition
6.1.5 vsip_cmherm_p - Matrix Hermitian
6.1.6 vsip_dgemp_p - General Matrix Product
6.1.7 vsip_dgems_p - General Matrix Scaling and Addition
6.1.8 vsip_dvmprod_p - Vector-Matrix Product
6.1.9 vsip_dmvprod_p - Matrix-Vector Product
6.1.10 vsip_dmprod_p - Matrix-Matrix Product
6.1.11 vsip_dmprodt_p - Matrix-Matrix Product with Transposition
6.1.12 vsip_cmprodh_p - Complex Matrix Product with Hermitian Transpose
6.1.13 vsip_cmprodj_p - Complex Matrix Product with Conjugate
6.2 Special Linear Solvers
6.2.1 vsip_dtoepsol_p - Solve a Toeplitz System of Equations
6.2.2 vsip_dcovsol_p - Solve a Covariance System of Equations
6.2.3 vsip_dllsqsol_p - Solve Linear Least Squares Problem
6.3 General Linear Square System Solver
6.3.1 vsip_dlud_create_p - Create LU Decomposition Object
6.3.2 vsip_dlud_destroy_p - Destroy LU Decomposition Object
6.3.3 vsip_dlud_getattr_p - Get LU Decomposition Attributes
6.3.4 vsip_dlud_p - Perform LU Decomposition
6.3.5 vsip_dlusol_p - Solve Linear System Using LU Decomposition
6.4 Symmetric Positive Definite Linear System Solver
6.4.1 vsip_dchold_create_p - Create Cholesky Decomposition Object
6.4.2 vsip_dchold_destroy_p - Destroy Cholesky Decomposition Object
6.4.3 vsip_dchold_getattr_p - Get Cholesky Decomposition Attributes
6.4.4 vsip_dchold_p - Perform Cholesky Decomposition
6.4.5 vsip_dcholsol_p - Solve Linear Systems Using Cholesky Decomposition
6.5 Over-determined Linear System Solver
6.5.1 vsip_dqrd_create_p - Create QR Decomposition Object
6.5.2 vsip_dqrd_destroy_p - Destroy QR Decomposition Object
6.5.3 vsip_dqrd_getattr_p - Get QR Decomposition Attributes
6.5.4 vsip_dqrd_p - Perform QR Decomposition
6.5.5 vsip_dqrsol_p - Solve Linear Systems Using QR Decomposition
6.5.6 vsip_dqrdsolr_p - Solve Linear Systems with Modified R Matrix
6.5.7 vsip_dqrdprodq_p - Multiply by Q Matrix from QR Decomposition

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