chrono::fea::PolarDecomposition Class Reference

## Description

Polar decomposition of a general 3x3 matrix.

This class is wrapped by ChPolarDecomposition. It is based on VEGA (J. Barbic).

#include <ChPolarDecomposition.h>

## Static Public Member Functions

static double Compute (const double *M, double *Q, double *S, double tolerance=1E-6)
Computes the Polar Decomposition of a general 3x3 matrix M. More...

## Static Protected Member Functions

static double oneNorm (const double *A)

static double infNorm (const double *A)

static void crossProduct (const double *a, const double *b, double *c)

## ◆ Compute()

 double chrono::fea::PolarDecomposition::Compute ( const double * M, double * Q, double * S, double tolerance = 1E-6 )
static

Computes the Polar Decomposition of a general 3x3 matrix M.

M = Q * S. M is 3x3 input matrix. Q is 3x3 orthogonal output matrix, Q Q^T = Q^T Q = I. S is 3x3 symmetric output matrix. Note: det(Q)=sgn(det(M)); this sign can be 1 or -1, depending on M. M is not modified. All matrices are row-major.

The documentation for this class was generated from the following files:
• /builds/uwsbel/chrono/src/chrono/fea/ChPolarDecomposition.h
• /builds/uwsbel/chrono/src/chrono/fea/ChPolarDecomposition.cpp