SQUARE ROOT OF CERTAIN MATRICES
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References
Alimohammad Nazari, Hojjatollah Fereydooni and Mohsen Bayat, “ A Manual Approach for Calcultating the root of
Square Matrix of dimension 3â€, Mathematical Sciences 2013, 7:44.
A. Bjorck, S. Hammarling, “ A Schur method for the Square Root of a Matrixâ€, Linear Algebra Appl. 52/53:127-140
(1983).
Donald Sullivan, “The Square Roots of 2x2 Matricesâ€, Mathematics Magazine, Vol.66, No.5, Dec 1993, pp. 314-316.
Edvin Deadman, Nicholas J. Higham and Rui Ralha, “ A Recursive Blocked Schur Algorithm for computing the
Matrix Square Rootâ€, MIMS E Print 2012.26, Manchester, UK: Manchester institute for Mathematical Sciences,
University of Manchester, Jan 2012.
Ihab Ahmad Abd Al-Baset AL-Tamimi, “The Square Roots of 2x2 Invertible Matricesâ€, Advances in Algebra
(ISSN 0973-6964), Vol 3, No.1(2010), pp.15-18.
Nicholas J. Higham, “Newtons Method for the Matrix Square Rootâ€, Math. of Computation, 46(1986), pp 537-549.
Panayiotis J. Psarrokos, “On the mth Roots of a Complex Matrixâ€, The Electronic Journal of Linear Algebra
(ISSN 1081-3810), Vol. g, pp. 32-41, April 2002.
S. Sambasiva Rao, P. Jagadeeshwar, K. Somasekhar, “On the Square root of a Matrixâ€, JGRMA (ISSN 2320-5822)
Vol.1, No.11 (2013), pp. 30-33.
Yuttanan, B and Nilrat, C., “ Roots of Matricesâ€, Songklanakarin J. Sci. Technol., 2005, 27(3), 659-665.
Charles R. Johnson, Kazuyoshi Okuba, Robert Reams, “Uniqueness of Matrix Square Roots and an Applicationâ€,
Linear Algebra and its applications 323(2001), pp 51-60.
G. Strang, “Linear Algebra and its Applicationsâ€, 3rd Edition, Harcourt, Brace, Jovanovich, San Diego, CA, 1988.
Yood, B., “Rootless Matricesâ€, Mathematics Magazine, 75, 2002, 219-223.