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tril

  

compute the lower triangular matrix

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

tril(A)

tril(A,k)

Parameters

A

-

matrix, vector, array, or scalar

k

-

(optional) integer

Description

• 

For a matrix A, the tril(A) command returns a matrix R where R[i,j] = A[i,j] when R[i,j] is on or below the main diagonal of R. R[i,j] = 0, otherwise.

• 

For a matrix A, the tril(A,k) command returns a matrix R where R[i,j] = A[i,j] when R[i,j] is on or below the diagonal of R indexed by k. R[i,j] = 0 otherwise.

• 

The diagonals of a matrix are indexed using signed integers, where the main diagonal has index 0. Superdiagonals are indexed with positive integers and subdiagonals are indexed with negative integers.

Examples

withMTM:

AMatrix1,2,1,4,5,6,2,8,1

A121456281

(1)

trilA

100450281

(2)

trilA,1

120456281

(3)

trilA,1

000400280

(4)

See Also

MTM[diag]

MTM[triu]

triangular