In [F. Uhlig, Explicit polar decomposition and a near-characteristic polynomial: The 2 × 2 case, Linear Algebra Appl., 38:239–249, 1981], the author gives a representation for the factors of the polar decomposition of a nonsingular real square matrix of order 2. Uhlig’s formulae are generalized to encompass all nonzero complex matrices of order 2 as well as all order n complex matrices with rank at least n − 1.
Explicit polar decomposition of complex matrices / Horn, R. A.; Piazza, Giuseppe; Politi, Tiziano. - In: THE ELECTRONIC JOURNAL OF LINEAR ALGEBRA. - ISSN 1081-3810. - 18:(2009), pp. 693-699.
Explicit polar decomposition of complex matrices
PIAZZA, Giuseppe;POLITI, Tiziano
2009-01-01
Abstract
In [F. Uhlig, Explicit polar decomposition and a near-characteristic polynomial: The 2 × 2 case, Linear Algebra Appl., 38:239–249, 1981], the author gives a representation for the factors of the polar decomposition of a nonsingular real square matrix of order 2. Uhlig’s formulae are generalized to encompass all nonzero complex matrices of order 2 as well as all order n complex matrices with rank at least n − 1.File in questo prodotto:
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