Problem 2585. How to reverse spdiags?

Created by Jean-Marie Sainthillier

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The spdiags function extracts all nonzero diagonals from the m-by-n matrix A.
So if
  A = [1 2 3;4 5 6;7 8 9]
then
  spdiags(A) = [7 4 1 0 0;
                0 8 5 2 0;
                0 0 9 6 3]
But if I give you spdiags(A), can you give me A ?

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Last Solution submitted on Oct 06, 2025

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Paul Berglund on 5 Oct 2014

% this problem is not guaranteed solvable
isequal(spdiags([eye(5) zeros(5)]),spdiags(eye(5)))

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Problem 2585. How to reverse spdiags?

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Problem 2585. How to reverse spdiags?

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