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1 | function tf = ishermitian(A, tol) |
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2 | % ISHERMITIAN True if the given matrix is Hermitian to within the tolerance |
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3 | % given (optionally) by the second parameter. |
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4 | |
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5 | % Copyright © 2005 Stephen J. Sangwine and Nicolas Le Bihan. |
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6 | % See the file : Copyright.m for further details. |
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7 | |
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8 | error(nargchk(1, 2, nargin)), error(nargoutchk(0, 1, nargout)) |
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9 | |
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10 | if nargin == 1 |
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11 | tol = 4 .* eps; % The tolerance was not specified, supply a default. |
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12 | end |
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13 | |
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14 | [r, c] = size(A); |
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15 | |
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16 | if r ~= c |
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17 | error('Cannot test whether a non-square matrix is Hermitian.'); |
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18 | end |
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19 | |
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20 | tf = ~any(any(abs(vector(A + A.')) ./ max(max(abs(A))) > tol)); |
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