QR
Advanced Analysis Library Only
AnalysisLibErrType QR (void *inputMatrix, ssize_t numberOfRows, ssize_t numberOfColumns, int inputMatrixlgorithm, void *qMatrix, void *rMatrix);
Purpose
 |
Note This function has been superseded by QREx. |
Calculates the QR factorization of the real input matrix. The input matrix can be square or rectangular.
The following formula defines the QR factorization of an n-by-m matrix A:
A = QR
| where | qMatrix is an orthogonal matrix of dimensions n-by-n |
| rMatrix is an upper triangular matrix of dimensions n-by-m | |
| numberOfRows is the number of rows | |
| numberOfColumns is the number of columns |
QR can calculate factorization in many ways. QR provides three methods for the factorization: Householder, Givens, and Fast Givens. You can use QR factorization to solve linear systems with more equations than unknowns.
Parameters
| Input | ||||||||||
| Name | Type | Description | ||||||||
| inputMatrix | void * | The matrix to factorize. The input matrix can be either square or rectangular. | ||||||||
| numberOfRows | ssize_t | The number of rows in inputMatrix. | ||||||||
| numberOfColumns | ssize_t | The number of columns in inputMatrix. | ||||||||
| inputMatrixlgorithm | int | The algorithm to use for QR factorization. The following table shows valid algorithm values for the factorization methods.
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| Output | ||||||||||
| Name | Type | Description | ||||||||
| qMatrix | void * | The calculated orthogonal matrix of the QR factorization, whose size is numberOfRows by numberOfRows. | ||||||||
| rMatrix | void * | The calculated upper triangular matrix of the QR factorization, whose size of numberOfRows by numberOfColumns. | ||||||||
Return Value
| Name | Type | Description |
| status | AnalysisLibErrType | A value that specifies the type of error that occurred. Refer to analysis.h for definitions of these constants. |
Additional Information
Library: Advanced Analysis Library
Include file: analysis.h
LabWindows/CVI compatibility: LabWindows/CVI 5.0 and later