TMatrix Class

Implementation of BaseEntry as a mathematical matrix or a vector.

Tip

A vector is a TMatrix instance with a single column.

Definition

Namespace: SMath.Math.Numeric
Assembly: SMath.Math.Numeric (in SMath.Math.Numeric.dll) Version: 1.73.9126.0

C#

public sealed class TMatrix : BaseEntry

VB

Public NotInheritable Class TMatrix
	Inherits BaseEntry

C++

public ref class TMatrix sealed : public BaseEntry

F#

[<SealedAttribute>]
type TMatrix = 
    class
        inherit BaseEntry
    end

Inheritance: Object BaseEntry TMatrix

Constructors

TMatrix

Constructs TMatrix instance with the specified elements.

Properties

HasUnits	Determines whether current instance of BaseEntry contains units or not. (Inherited from BaseEntry)
Item	Provides access to the specified element of the matrix.
IzZero	Determines whether current instance of BaseEntry is equal to zero or not. (Overrides BaseEntryIzZero)
Type	Type of the BaseEntry which is implemented by a current instance of the object. (Inherited from BaseEntry)
Units	Units of measurement for the expression component. Important Every numeric expression component must have a value in Units. For dimensionless quantities like angles in radians the value of Units is set to 1. (Inherited from BaseEntry)

Methods

Ainterp	Performs interpolation by means of Akima spline.
Alg	Computes the cofactor of a square matrix for the specified row and column. Cofactor for row i and column j is defined as minor for that row and column which is multiplied by (-1)^(i + j).
buildakimaspline	Builds the table of coefficients for Akima spline.
buildcubicspline	Builds the table of coefficients for cubic spline.
buildhermitespline	Builds the table of coefficients for Hermite spline.
buildlinearspline	Builds the table of coefficients for piecewise linear spline.
Cinterp	Performs interpolation by means of cubic spline.
Clone	Creates a copy of this instance. (Overrides BaseEntryClone)
Col	Returns a submatrix for the specified column of this matrix.
Com	Adds value to this instance. (Overrides BaseEntryCom(BaseEntry))
Cos	Computes cosine of this instance. (Inherited from BaseEntry)
Cot	Computes cotangent of this instance. (Inherited from BaseEntry)
CSort	Sorts the specified column of the matrix in ascending order.
Determinant	Computes the determinant of the matrix.
Diag	Builds a square matrix with elements of this vector on the main diagonal.
Div	Divides this instance by value. (Overrides BaseEntryDiv(BaseEntry))
eigenpolyroots	Finds the polynomial roots using the eigenvalue method. The algorithm searches for the roots of a polynomial by searching for the eigenvalues of its companion matrix.
El	Returns the specified element of the matrix.
Equals	Determines whether the specified object is equal to the current object. (Overrides ObjectEquals(Object))
FFT	Computes the nn-point discrete Fourier transform (DFT) of this dIn vector using a fast Fourier transform (FFT) algorithm.
GetHashCode	Serves as the default hash function. (Overrides ObjectGetHashCode)
GetInverse	Inversion of a general matrix.
GetLength	Gets the specified dimension of the matrix.
GetType	Gets the Type of the current instance. (Inherited from Object)
Gt	Returns if this instance is greater than value. (Inherited from BaseEntry)
Im	Returns a matrix which contains imaginary parts of elements of this matrix.
Length	Gets the total number of elements in the matrix, i.e. the product of its dimensions.
Linterp	Performs interpolation by means of piecewise linear spline.
Lt	Returns if this instance is less than value. (Inherited from BaseEntry)
Max	Finds the maximal element in the matrix.
Min	Finds the minimal element in the matrix.
Minor	Computes the first minor of a square matrix for the specified row and column. First minor is defined as determinant of a smaller square matrix which is cut down from the original matrix by removal of the specified row and column.
Mul	Multiplies value by this instance. (Overrides BaseEntryMul(BaseEntry))
Norm1	Computes the 1-norm of the matrix. In order to compute the 1-norm, absolute values are summed down each column and after that the biggest answer is taken.
NormE	Computes the Frobenius (Euclidean) norm of the matrix.
NormI	Computes the infinity-norm of the matrix. In order to compute the infinity-norm, absolute values are summed along each row and after that the biggest answer is taken.
PolyRoots	Finds the polynomial roots for this vector contaning polynomial coefficients. The eigenvalue method is used.
Pow	Exponentiation operation. (Overrides BaseEntryPow(BaseEntry))
Power	Computes exponent with base equal to this and power equal to value.
Rank	Computes the rank of the matrix.
Re	Returns a matrix which contains real parts of elements of this matrix.
Reverse	Flips the matrix vertically.
rmatrixluinverse	Returns the inverse of the original matrix.
Round(BaseEntry)	Rounds the value to the specified number of fractional digits. (Inherited from BaseEntry)
Round(BaseEntry, TDouble)	Rounds the value to the specified number of fractional digits using the specified rounding convention. (Inherited from BaseEntry)
Row	Returns a submatrix for the specified row of this matrix.
RSort	Sorts the specified row of the matrix in ascending order.
Sin	Computes sine of this instance. (Inherited from BaseEntry)
Sort	Sorts this vector in ascending order.
splineinterpolation	Computes the interpolating spline.
Sub	Subtracts value from this instance. (Overrides BaseEntrySub(BaseEntry))
Submatrix	Extracts a contiguous submatrix from the matrix.
Tan	Computes tangent of this instance. (Inherited from BaseEntry)
ToDouble	Converts this instance to a Double value. (Overrides BaseEntryToDouble)
ToString	Converts math expression component to string. (Inherited from BaseEntry)
ToString(IResultOptions)	Converts math expression component to string with options. (Overrides BaseEntryToString(IResultOptions))
ToString(Int32, Int32, FractionsType, Boolean)	Converts math expression component to string with options. (Inherited from BaseEntry) Obsolete.
ToString(Int32, Int32, FractionsType, Boolean, Boolean, MidpointRounding)	Converts math expression component to string with options. (Inherited from BaseEntry) Obsolete.
ToTerms	Converts current expression component to the array of Term in reverse Polish notation (RPN). (Inherited from BaseEntry)
ToTerms(IResultOptions)	Converts current expression component to the array of Term in reverse Polish notation (RPN) with options. (Overrides BaseEntryToTerms(IResultOptions))
ToTerms(Int32, Int32, FractionsType, Boolean)	Converts current expression component to the array of Term in reverse Polish notation (RPN) with options. (Inherited from BaseEntry) Obsolete.
ToTerms(Int32, Int32, FractionsType, Boolean, Boolean, MidpointRounding)	Converts current expression component to the array of Term in reverse Polish notation (RPN) with options. (Inherited from BaseEntry) Obsolete.
Trace	Computes the trace of a square matrix.
Transpose	Transposes the matrix.
Trunc	Returns the integer part of this value. (Inherited from BaseEntry)
VMinor	Extracts the submatrix of a square matrix by removal of the specified row and column. This submatrix is used for computing the related first minor and cofactor.
VMultiplication	Computes the cross product of two vectors in three-dimensional Euclidean space.

Operators

Addition(TComplex, TMatrix)	Adds TMatrix object to TComplex object.
Addition(TMatrix, TComplex)	Adds TComplex object to TMatrix object.
Addition(TMatrix, TMatrix)	Adds two TMatrix objects.
Division(TComplex, TMatrix)	Divides TComplex object by TMatrix object.
Division(TMatrix, TComplex)	Divides TMatrix object by TComplex object.
Division(TMatrix, TMatrix)	Divides two TMatrix objects.
Equality(TMatrix, TMatrix)	Returns if the operands are equal.
(Double to TMatrix)	Provides implicit conversion from Double to TMatrix.
(TComplex to TMatrix)	Provides implicit conversion from TComplex to TMatrix.
(TDouble to TMatrix)	Provides implicit conversion from TDouble to TMatrix.
(TFraction to TMatrix)	Provides implicit conversion from TFraction to TMatrix.
(TInfinity to TMatrix)	Provides implicit conversion from TInfinity to TMatrix.
(TNumber to TMatrix)	Provides implicit conversion from TNumber to TMatrix.
Inequality(TMatrix, TMatrix)	Returns if the operands are not equal.
Multiply(TComplex, TMatrix)	Multiplies TMatrix object by TComplex object.
Multiply(TMatrix, TComplex)	Multiplies TComplex object by TMatrix object.
Multiply(TMatrix, TMatrix)	Multiplies two TMatrix objects.
Subtraction(TComplex, TMatrix)	Subtracts TMatrix object from TComplex object.
Subtraction(TMatrix, TComplex)	Subtracts TComplex object from TMatrix object.
Subtraction(TMatrix, TMatrix)	Subtracts two TMatrix objects.

Fields

MachineEpsilon	Precision for the eigenvalue method.
unit	Elements of the matrix indexed by [row, column].