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DoubleHermitianPDBandFact Class

Class DoubleHermitianPDBandFact represents the factorization of a Hermitian, positive definite, banded matrix of complex double-precision floating point numbers.
Inheritance Hierarchy
SystemObject
  CenterSpace.NMath.CoreDoubleHermitianPDBandFact

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

The DoubleHermitianPDBandFact type exposes the following members.

Constructors
 NameDescription
Public methodDoubleHermitianPDBandFact(DoubleHermitianBandMatrix) Constructs a DoubleHermitianPDBandFact 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.
Public methodDoubleHermitianPDBandFact(DoubleHermitianBandMatrix, Boolean) Constructs an DoubleHermitianPDBandFact instance by factoring the given matrix.
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Properties
 NameDescription
Public propertyCols Gets the number of columns in the matrix represented by the factorization.
Public propertyHalfBandwidth Gets the half bandwidth of the factored Hermitian banded matrix.
Public propertyIsGood 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.
Public propertyIsPositiveDefinite Gets a boolean value which is true if the matrix factored is positive definite; otherwise, false.
Public propertyRows Gets the number of rows in the matrix represented by the factorization.
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Methods
 NameDescription
Public methodClone Creates a deep copy of this factorization.
Public methodConditionNumber Computes an estimate of the reciprocal of the condition number of a given matrix with respect to the one norm.
Public methodDeterminant Computes the determinant of the factored matrix.
Public methodFactor(DoubleHermitianBandMatrix) 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.
Public methodFactor(DoubleHermitianBandMatrix, Boolean) Factors the matrix A so that self represents the LU factorization of A.
Public methodInverse Computes the inverse of the factored matrix.
Public methodSolve(DoubleComplexMatrix) Uses this factorization to solve the linear system AX = B.
Public methodSolve(DoubleComplexVector) Uses the LU factorization of self to solve the linear system Ax = b.
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See Also