ComplexMatrixDivide(ComplexMatrix, ReadOnlyDoubleMatrix) Method

public static ComplexMatrix Divide(
	ComplexMatrix left,
	ReadOnlyDoubleMatrix right
)

Public Shared Function Divide ( 
	left As ComplexMatrix,
	right As ReadOnlyDoubleMatrix
) As ComplexMatrix

public:
static ComplexMatrix^ Divide(
	ComplexMatrix^ left, 
	ReadOnlyDoubleMatrix^ right
)

static member Divide : 
        left : ComplexMatrix * 
        right : ReadOnlyDoubleMatrix -> ComplexMatrix 

Parameters

left  ComplexMatrix

The left operand.

right  ReadOnlyDoubleMatrix

The right operand.

Return Value

Let and be the left number of rows and columns, respectively, and consider its generic entry



Analogously, Let and be the right number of rows and columns, respectively, and let its generic entry given by

The method operates as follows.

• If left is scalar, then the method returns a matrix having the same dimensions of right, whose generic entry is:
  
  
  
  
• If right is scalar, then the method returns a matrix having the same dimensions of left, whose generic entry is:
  
  
  
  
• If neither left nor right is scalar, then the method interprets the division of left by right as the solution of the following system of simultaneous equations:
  
  
  
  provided that both left and right have the same number of columns; otherwise, an exception is thrown.

  If right is square, then the solution is computed differently for specific patterns. More thoroughly, if right is upper or lower triangular, then a back or forward substitution algorithm is executed, respectively, or, if right is symmetric, a Cholesky decomposition is tentatively applied; in every other case, the solution is obtained by LU decomposition of matrix right.

  If right is not square, then the solution is computed by QR or LQ factorization of right, provided that it has full rank; otherwise, an exception is thrown.

Reference

Other Resources