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DoubleTriDiagFact Class

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

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

The DoubleTriDiagFact type exposes the following members.

Constructors
 NameDescription
Public methodDoubleTriDiagFact(DoubleTriDiagMatrix) Constructs an DoubleTriDiagFact 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 methodDoubleTriDiagFact(DoubleTriDiagMatrix, Boolean) Constructs a DoubleTriDiagFact 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(DoubleTriDiagMatrix) 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(DoubleTriDiagMatrix, 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(DoubleMatrix) Uses this LU factorization to solve the linear system AX = B.
Public methodSolve(DoubleVector) 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