How to create a square matrix with zero on main diagonal and all 1's, 2's, 3's, ... n's on upper and lower diagonals?

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Kelsey Allis 2021-2-1

0
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https://ww2.mathworks.cn/matlabcentral/answers/732228-how-to-create-a-square-matrix-with-zero-on-main-diagonal-and-all-1-s-2-s-3-s-n-s-on-upper-and

编辑： Kelsey Allis 2021-2-1

在 MATLAB Online 中打开

Hello,

I have to create a square matrix using a diag function that has the pattern:

m = [ 0 1 2 3 4.... ;

1 0 1 2 3 .... ;

2 1 0 1 2 ....]

The issue is with the line m = m + diag(n, i). It doesn't have the right dimensions. Any feedback would be appreciated!

function m = matpat(n)
%UNTITLED5 Summary of this function goes here
%  Function creates an n x n matrix with a pattern of 0 on main diagonal,
%  and all 1s, 2s, 3s, ... on upper and lower diagonals
m = zeros(n) ;
for i = 1 : (n - 1)
    m = m + diag(n , i) ;
end

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Answer 1

madhan ravi 2021-2-1

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https://ww2.mathworks.cn/matlabcentral/answers/732228-how-to-create-a-square-matrix-with-zero-on-main-diagonal-and-all-1-s-2-s-3-s-n-s-on-upper-and#answer_611053

在 MATLAB Online 中打开

help toeplitz
 TOEPLITZ Toeplitz matrix.
    TOEPLITZ(C,R) is a non-symmetric Toeplitz matrix having C as its
    first column and R as its first row.
 
    TOEPLITZ(R) is a symmetric Toeplitz matrix for real R.
    For a complex vector R with a real first element, T = toeplitz(r)
    returns the Hermitian Toeplitz matrix formed from R. When the
    first element of R is not real, the resulting matrix is Hermitian
    off the main diagonal, i.e., T_{i,j} = conj(T_{j,i}) for i ~= j.
 
    Class support for inputs C,R:
       float: double, single
       integer: uint8, int8, uint16, int16, uint32, int32, uint64, int64
 
    See also HANKEL.

    Documentation for toeplitz
       doc toeplitz

    Other functions named toeplitz

       distributed/toeplitz    sym/toeplitz