CIBC:Documentation:SCIRun:Reference:SCIRun:SolveMinNormLeastSqSystem

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SolveMinNormLeastSqSystem

Information

Package: SCIRun
Category: Math
Author(s): David Weinstein
Status: Supported in latest version
Version: 3.0

Description

Summary

This module computes the minimal norm, least squared solution to a nx3 linear system.

Detailed Description

This module computes the minimal norm, least squared solution to a nx3 linear system.

Given four input ColumnMatrices (v0,v1,v2,b), find the three coefficients (w0,w1,w2) that minimize: | (w0v0 + w1v1 + w2v2) - b |. If more than one minimum exisits (the system is under-determined), choose the coefficients such that (w0,w1,w2) has minimum norm. We output the vector (w0,w1,w2) as a row-matrix, and we ouput the ColumnMatrix (called x), which is: | w0v0 + w1v1 + w2v2 |.



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