Abstract
For every positive real number p that lies between even integers 2(m − 2) and 2(m − 1) we demonstrate a matrix A = [a ij ] of order 2m such that A is positive definite but the matrix with entries |a ij |p is not.
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Bhatia, R., Elsner, L. Positivity Preserving Hadamard Matrix Functions. Positivity 11, 583–588 (2007). https://doi.org/10.1007/s11117-007-2104-8
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DOI: https://doi.org/10.1007/s11117-007-2104-8