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DoubleHermPDTriDiagFact Class

Class DoubleHermPDTriDiagFact represents the LDL' factorization of a Hermitian, positive definite, tridiagonal matrix of complex double-precision floating point numbers.
Inheritance Hierarchy
SystemObject
  CenterSpace.NMath.CoreDoubleHermPDTriDiagFact

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

The DoubleHermPDTriDiagFact type exposes the following members.

Constructors
 NameDescription
Public methodDoubleHermPDTriDiagFact(DoubleComplexTriDiagMatrix) Constructs a DoubleHermPDTriDiagFact 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 methodDoubleHermPDTriDiagFact(DoubleComplexTriDiagMatrix, Boolean) Constructs a DoubleHermPDTriDiagFact 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 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 is positive definite and the factorization may be used to solve equations, compute determinants, inverses, and so on; 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 in the 1-norm.
Public methodDeterminant Computes the determinant of the factored matrix.
Public methodFactor(DoubleComplexTriDiagMatrix) Factors the matrix A so that self represents the LDL' 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(DoubleComplexTriDiagMatrix, Boolean) Factors the matrix A so that self represents the LDL' factorization of A.
Public methodInverse Computes the inverse of the factored matrix.
Public methodSolve(DoubleComplexMatrix) Uses this LDL' factorization to solve the linear system AX = B.
Public methodSolve(DoubleComplexVector) Uses the LDL' factorization of self to solve the linear system Ax = b.
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Remarks
The factorization has the form:
C#
A = LDL'
where D is diagonal and L is unit lower bidiagonal (L' is the conjugate transpose of the matrix L).
See Also