Computing Real Square Roots of a Real Matrix *

@inproceedings{Higham1987ComputingRS,
  title={Computing Real Square Roots of a Real Matrix *},
  author={Nicholas J. Higham},
  year={1987}
}
Bjiirck and Hammarling [l] describe a fast, stable Schur method for computing a square root X of a matrix A (X2 = A). We present an extension of their method which enables real arithmetic to be used throughout when computing a real square root of a real matrix. For a nonsingular real matrix A conditions are given for the existence of a real square root, and for the existence of a real square root which is a polynomial in A; the number of square roots of the latter type is determined. The… CONTINUE READING
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