triu

Upper triangular part of matrix

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Syntax

U = triu(A)

U = triu(A,k)

Description

example

U = triu(A)returns theupper triangularportion of matrixA.

U = triu(A,k)returns the elements on and above the kth diagonal ofA.

Examples

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Extract Upper Triangular Portions of Matrix

Open Live Script

Create a 4-by-4 matrix of ones. Extract the upper triangular portion.

A = ones(4)

A =4×41 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

B = triu(A)

B =4×41 1 1 1 0 1 1 1 0 0 1 1 0 0 0 1

Extract only the elements above the main diagonal.

C = triu(A,1)

C =4×40 1 1 1 0 0 1 1 0 0 0 1 0 0 0 0

Input Arguments

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`A`—Input matrix
matrix

Input matrix.

`k`—Diagonals to include
`0`(default) |scalar

Diagonals to include, specified as a scalar.k = 0is the main diagonal,k > 0is above the main diagonal, andk < 0is below the main diagonal.

Example:triu(A,3)

More About

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Upper Triangular

The upper triangular portion of a matrix includes the main diagonal and all elements above it. The shaded blocks in this graphic depict the upper triangular portion of a 6-by-6 matrix.

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.

Usage notes and limitations:

If you supply the argument that represents the order of the diagonal matrix, then it must be a real and scalar integer value.

GPU Code Generation
Generate CUDA® code for NVIDIA® GPUs using GPU Coder™.

Usage notes and limitations:

If you supply the argument that represents the order of the diagonal matrix, then it must be a real and scalar integer value.

GPU Arrays
Accelerate code by running on a graphics processing unit (GPU) using Parallel Computing Toolbox™.

This function fully supports GPU arrays. For more information, seeRun MATLAB Functions on a GPU(Parallel Computing Toolbox).

Distributed Arrays
Partition large arrays across the combined memory of your cluster using Parallel Computing Toolbox™.

This function fully supports distributed arrays. For more information, seeRun MATLAB Functions with Distributed Arrays(Parallel Computing Toolbox).

MATLAB Documentation

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Introducing Deep Learning with MATLAB

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triu

Syntax

Description

Examples

Extract Upper Triangular Portions of Matrix

Input Arguments

A—Input matrixmatrix

k—Diagonals to include0(default) |scalar

More About

Upper Triangular

Extended Capabilities

C/C++ Code GenerationGenerate C and C++ code using MATLAB® Coder™.

GPU Code GenerationGenerate CUDA® code for NVIDIA® GPUs using GPU Coder™.

GPU ArraysAccelerate code by running on a graphics processing unit (GPU) using Parallel Computing Toolbox™.

Distributed ArraysPartition large arrays across the combined memory of your cluster using Parallel Computing Toolbox™.

See Also

MATLAB Documentation

万博1manbetx

Introducing Deep Learning with MATLAB

`A`—Input matrix
matrix

`k`—Diagonals to include
`0`(default) |scalar

C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.

GPU Code Generation
Generate CUDA® code for NVIDIA® GPUs using GPU Coder™.

GPU Arrays
Accelerate code by running on a graphics processing unit (GPU) using Parallel Computing Toolbox™.

Distributed Arrays
Partition large arrays across the combined memory of your cluster using Parallel Computing Toolbox™.