﻿FloatComplexBandFact Class

# FloatComplexBandFact Class

Class FloatComplexBandFact represents the factorization of a banded matrix of complex single-precision floating point numbers.
Inheritance Hierarchy
SystemObject
CenterSpace.NMath.CoreFloatComplexBandFact

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

The FloatComplexBandFact type exposes the following members.

Constructors
NameDescription
FloatComplexBandFact(FloatComplexBandMatrix)
Constructs a FloatComplexBandFact 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.
FloatComplexBandFact(FloatComplexBandMatrix, Boolean)
Constructs a FloatComplexBandFact instance by factoring the given matrix.
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Properties
NameDescription
Cols
Gets the number of columns in the matrix represented by the factorization.
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.
IsSingular
Gets a boolean value which is true if the matrix factored is singular; otherwise, false.
LowerBandwidth
Gets the lower bandwidth of the factored banded matrix.
Rows
Gets the number of rows in the matrix represented by the factorization.
UpperBandwidth
Gets the upper bandwidth of the factored banded matrix.
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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 in the 1-norm.
ConditionNumber(NormType)
Computes an estimate of the reciprocal of the condition number of a given matrix in the specified norm type.
Determinant
Computes the determinant of the factored matrix.
Factor(FloatComplexBandMatrix)
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(FloatComplexBandMatrix, Boolean)
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.
Inverse
Computes the inverse of the factored matrix.
Solve(FloatComplexMatrix)
Uses this factorization to solve the linear system AX = B.
Solve(FloatComplexVector)
Uses the LU factorization of self to solve the linear system Ax = b.
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