Matrix

Full name SMRUCC.genomics.Analysis.HTS.FELLA.Math.Matrix Assembly SMRUCC.genomics.Analysis.HTS.FELLA Members 30

Dense matrix class with basic linear algebra operations. Used for graph Laplacian, diffusion kernel, and PageRank computations. All operations use only basic .NET math functions.

01 Syntax

SMRUCC.genomics.Analysis.HTS.FELLA.Math.Matrix

02 Methods

Name	Overloads	Summary
.ctor	2	Create a matrix from a 2D array
Identity	1	Create an identity matrix of size n
Diagonal	1	Create a diagonal matrix from a vector
Zeros	1	Create a zero matrix
Clone	1	Clone this matrix
op_Addition	1	Matrix addition
op_Subtraction	1	Matrix subtraction
op_Multiply	3	Matrix multiplication
MultiplyVector	1	Matrix-vector multiplication: result = M * v
Transpose	1	Transpose
Solve	1	Solve linear system Ax = b using Gaussian elimination with partial pivoting.
SolveIterative	1	Solve linear system Ax = b using iterative Gauss-Seidel method.
Inverse	1	Compute matrix inverse using Gaussian elimination.
GetRow	1	Get a row as a vector
GetColumn	1	Get a column as a vector
SetRow	1	Set a row from a vector
SetColumn	1	Set a column from a vector
RowSums	1	Compute row sums as a vector
ColumnSums	1	Compute column sums as a vector
Abs	1	Element-wise absolute value
FrobeniusNorm	1	Frobenius norm
FromColumns	1	Create matrix from column vectors (each vector is a column)
ToString	1

03 Properties

Name	Overloads	Summary
Rows	1	Number of rows
Cols	1	Number of columns
Item	1	Access element at (i, j)
Data	1	Get the underlying 2D array (copy)

04 Members

method .ctor overload 2 #

#ctor(Int32, Int32)

Create an empty matrix of given dimensions

method .ctor #

#ctor(Double[0:,0:])

Create a matrix from a 2D array

method Identity #

Identity(Int32)

Create an identity matrix of size n

method Diagonal #

Diagonal(Double())

Create a diagonal matrix from a vector

method Zeros #

Zeros(Int32, Int32)

Create a zero matrix

method Clone #

Clone

Clone this matrix

method op_Addition #

op_Addition(Matrix, Matrix)

Matrix addition

method op_Subtraction #

op_Subtraction(Matrix, Matrix)

Matrix subtraction

method op_Multiply overload 2 #

op_Multiply(Matrix, Double)

Scalar multiplication

method op_Multiply overload 3 #

op_Multiply(Double, Matrix)

Scalar multiplication (commutative)

method op_Multiply #

op_Multiply(Matrix, Matrix)

Matrix multiplication

method MultiplyVector #

MultiplyVector(Double())

Matrix-vector multiplication: result = M * v

method Transpose #

Transpose

method Solve #

Solve(Matrix, Double())

Solve linear system Ax = b using Gaussian elimination with partial pivoting. Returns solution vector x.

method SolveIterative #

SolveIterative(Matrix, Double(), Int32, Double)

Solve linear system Ax = b using iterative Gauss-Seidel method. More memory-efficient for large sparse-like systems.

method Inverse #

Inverse

Compute matrix inverse using Gaussian elimination. Returns A^{-1}.

method GetRow #

GetRow(Int32)

Get a row as a vector

method GetColumn #

GetColumn(Int32)

Get a column as a vector

method SetRow #

SetRow(Int32, Double())

Set a row from a vector

method SetColumn #

SetColumn(Int32, Double())

Set a column from a vector

method RowSums #

RowSums

Compute row sums as a vector

method ColumnSums #

ColumnSums

Compute column sums as a vector

method Abs #

Abs

Element-wise absolute value

method FrobeniusNorm #

FrobeniusNorm

Frobenius norm

method FromColumns #

FromColumns(Double()())

Create matrix from column vectors (each vector is a column)

property Rows #

Rows

Number of rows

property Cols #

Cols

Number of columns

property Item #

Item(Int32, Int32)

Access element at (i, j)

property Data #

Data

Get the underlying 2D array (copy)

method ToString #

ToString()