Computing Real Square Roots of a Real Matrix *

  title={Computing Real Square Roots of a Real Matrix *},
  author={Nicholas J. Higham},
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
Highly Influential
This paper has highly influenced 14 other papers. REVIEW HIGHLY INFLUENTIAL CITATIONS


Publications referenced by this paper.
Showing 1-8 of 8 references

The equivalence of definitions of a matric function , Anzer

  • R. F. Rinehart
  • Math . Monthly
  • 1984

A Schur method for the square root of a matrix, Linear Algebra Appl

  • A. BjGrck, S. Hammarling
  • SIAM J. Numer. Anal
  • 1983

Roots of real matrices , Linear Algebra Appl

  • A. N. Beavers
  • 1981

A Hessenberg-Schur method for the problem AX + XB = C

  • G. H. Golub, S. Nash, C. F. Van Loan
  • IEEE Trans. Automat. Control
  • 1979

An estimate for the condition number of a matrix

  • C. B. Moler, G. W. Stewart, J. H. Wilkinson
  • SIAM J . Numer . Anal .
  • 1979

A faster method of computing the square root of a matrix

  • D. J. Walton
  • IEEE Trans . Automat . Control AC -

On the existence and uniqueness of the real logarithm of a matrix , PTOC

  • N. J. Higham
  • Amer . Math . Sot .

Similar Papers

Loading similar papers…