com.numericalmethod.suanshu.matrix.doubles.operation

Class SVEC

java.lang.Object

com.numericalmethod.suanshu.vector.doubles.dense.DenseVector

com.numericalmethod.suanshu.matrix.doubles.operation.SVEC

All Implemented Interfaces:

DeepCopyable, AbelianGroup<Vector>, BanachSpace<Vector,Real>, HilbertSpace<Vector,Real>, VectorSpace<Vector,Real>, Vector, java.io.Serializable

public class SVEC
extends DenseVector

SVEC converts a symmetric matrix K = {K_ij} into a vector of dimension n(n+1)/2. That is, \[ \rm{svec}(K) = [k_{1,1}, \sqrt2k_{1,2}, ..., \sqrt2k_{1,n}, k_{2,2}, \sqrt2k_{2,3}, ..., \sqrt2k_{2,n}, ... k_{n,n},] \] SVEC is the inverse operator of MAT.

See Also:

"Andreas Antoniou, Wu-Sheng Lu, "eq. 14.37," Practical Optimization: Algorithms and Engineering Applications.", Serialized Form

Constructor Summary

Constructors

Constructor and Description
SVEC(Matrix A) Construct the SVEC of a matrix.

Method Summary

Methods inherited from class com.numericalmethod.suanshu.vector.doubles.dense.DenseVector

add, add, angle, deepCopy, divide, equals, get, hashCode, innerProduct, minus, minus, multiply, norm, norm, opposite, pow, scaled, scaled, set, set, size, toArray, toString, ZERO

Methods inherited from class java.lang.Object

clone, finalize, getClass, notify, notifyAll, wait, wait, wait

Constructor Detail

SVEC

public SVEC(Matrix A)

Construct the SVEC of a matrix.

Parameters:

A - a matrix