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Built-in Mathematica Symbol

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UpperTriangularize

UpperTriangularize[m]
gives a matrix in which all but the upper triangular elements of m are replaced with zeros.

UpperTriangularize[m, k]
replaces with zeros only the elements below the k

subdiagonal of m.

MORE INFORMATION

UpperTriangularize[m] works even if m is not a square matrix.

In UpperTriangularize[m, k] positive k refers to subdiagonals above the main diagonal and negative k refers to subdiagonals below the main diagonal.

UpperTriangularize works with SparseArray objects.

Basic Examples (2)

Get the upper triangular part of a matrix:

Out[1]//MatrixForm=

Get the strictly upper triangular part of a matrix:

Out[1]//MatrixForm=

Properties & Relations (1)

LowerTriangularize Diagonal Band LUDecomposition

Linear Systems

Matrices and Linear Algebra

Parts of Matrices

Summary of New Features in 7.0

New in 7.0: Alphabetical Listing

New in 7.0: Lists and Matrices

New in 7.0: Mathematics & Algorithms

Demonstrations with UpperTriangularize (Wolfram Demonstrations Project)

New in 7

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