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FloatCholeskyLeastSq Class

Class FloatCholeskyLeastSq solves least square problems by using the Cholesky factorization to solve the normal equations.
Inheritance Hierarchy
SystemObject
  CenterSpace.NMath.CoreFloatCholeskyLeastSq

Namespace:  CenterSpace.NMath.Core
Assembly:  NMath (in NMath.dll) Version: 7.3
Syntax
[SerializableAttribute]
public class FloatCholeskyLeastSq : ICloneable

The FloatCholeskyLeastSq type exposes the following members.

Constructors
  NameDescription
Public methodFloatCholeskyLeastSq
Constructs a FloatCholeskyLeastSq instance with all sizes zero.
Public methodFloatCholeskyLeastSq(FloatMatrix)
Constructs a FloatCholeskyLeastSq instance from the given matrix.
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Properties
  NameDescription
Public propertyCols
Gets the number of columns in the matrix.
Public propertyIsGood
Gets a boolean value which is true if the Cholesky factorization succeeded and may be used to solve least square problems; otherwise false.
Public propertyRows
Gets the number of rows in the matrix.
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Methods
  NameDescription
Public methodClone
Creates a deep copy of this least squares instance.
Public methodFactor
Factors a given matrix so that it may be used to solve least squares problems.
Public methodOnSerializing
processing following deserialization
Public methodResidualNormSqr
Computes the 2-norm squared of the residual vector.
Public methodResidualVector
Computes and returns the residual vector.
Public methodSolve
Computes the solution to the least squares problem Ax = b.
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Remarks
The normal equations for the least squares problem Ax = b are:
A'Ax = A'b
where A' denotes the transpose of the matrix A. If A has full rank, then A'A is symmetric positive definite (and, in fact, the converse is true). Thus, the Cholesky factorization may be used to solve the normal equations. Note this implies that this method will fail if A is rank deficiennt.
See Also