﻿DoubleSymPDBandFact Class   # DoubleSymPDBandFact Class

Class DoubleSymPDBandFact represents the factorization of a symmetric, positive definite, banded matrix of double-precision floating point numbers. Inheritance Hierarchy
SystemObject
CenterSpace.NMath.CoreDoubleSymPDBandFact

Namespace: CenterSpace.NMath.Core
Assembly: NMath (in NMath.dll) Version: 7.4 Syntax
```[SerializableAttribute]
public class DoubleSymPDBandFact : ICloneable```

The DoubleSymPDBandFact type exposes the following members. Constructors
NameDescription DoubleSymPDBandFact(DoubleSymBandMatrix) Constructs a DoubleSymPDBandFact instance by factoring the given matrix. By default the condition number for the matrix will not be computed and will not be available from the ConditionNumber method. DoubleSymPDBandFact(DoubleSymBandMatrix, Boolean) Constructs an DoubleSymPDBandFact instance by factoring the given matrix, optionally estimating the condition number of the matrix.
Top Properties
NameDescription Cols Gets the number of columns in the matrix represented by the factorization. HalfBandwidth Gets the half bandwidth of the factored symmetric banded matrix. IsGood Gets a boolean value which is true if the matrix factorization succeeded and the factorization may be used to solve equations, compute determinants, inverses, and so on; otherwise false. IsPositiveDefinite Gets a boolean value which is true if the matrix factored is positive definite; otherwise, false. Rows Gets the number of rows in the matrix represented by the factorization.
Top Methods
NameDescription Clone Creates a deep copy of this factorization. ConditionNumber Computes an estimate of the reciprocal of the condition number of a given matrix with respect to the one norm. Determinant Computes the determinant of the factored matrix. Factor(DoubleSymBandMatrix) Factors the matrix A so that self represents the LU factorization of A. By default the condition number for the matrix will not be computed and will not be available from the ConditionNumber method. Factor(DoubleSymBandMatrix, Boolean) Factors the matrix A so that self represents the LU factorization of A. Inverse Computes the inverse of the factored matrix. Solve(DoubleMatrix) Uses this factorization to solve the linear system AX = B. Solve(DoubleVector) Uses the LU factorization of self to solve the linear system Ax = b.
Top See Also

#### Reference

CenterSpace.NMath.Core Namespace