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Algorithms for the polar decomposition. (English) Zbl 0722.65021

A new family of iterative methods for the polar decomposition of rectangular matrices is proposed. The new methods converge globally and, like N. J. Higham’s method for square matrices [SIAM J. Sci. Stat. Comput. 7, 1160-1174 (1986; Zbl 0607.65014)] only matrix operations that vectorize and parallelize well are used. A listing of the computer program is supplied.

MSC:

65F20 Numerical solutions to overdetermined systems, pseudoinverses
65F30 Other matrix algorithms (MSC2010)
65Y05 Parallel numerical computation
15-04 Software, source code, etc. for problems pertaining to linear algebra
15A23 Factorization of matrices

Citations:

Zbl 0607.65014
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