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DoubleComplexTriDiagFact Class

Class DoubleComplexTriDiagFact represents the LU factorization of a tridiagonal matrix of double-precision complex floating point numbers.
Inheritance Hierarchy
SystemObject
  CenterSpace.NMath.CoreDoubleComplexTriDiagFact

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

The DoubleComplexTriDiagFact type exposes the following members.

Constructors
  NameDescription
Public methodDoubleComplexTriDiagFact(DoubleComplexTriDiagMatrix)
Constructs an DoubleComplexTriDiagFact 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 methodDoubleComplexTriDiagFact(DoubleComplexTriDiagMatrix, Boolean)
Constructs a DoubleComplexTriDiagFact 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 propertyIsSingular
Gets a boolean value which is true if the matrix factored is singular; 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 methodConditionNumber(NormType)
Computes an estimate of the reciprocal of the condition number of a given matrix in the specified norm type.
Public methodDeterminant
Computes the determinant of the factored matrix.
Public methodFactor(DoubleComplexTriDiagMatrix)
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(DoubleComplexTriDiagMatrix, 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 LU 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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Remarks
The factorization has the form A = LU where L is a product of permutation and unit lower bidiagonal matrices and U is upper triangular with nonzeros in only the main diagonal and first two superdiagonals.
See Also