Computing the Polar Decomposition—with Applications
- 1 October 1986
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Scientific and Statistical Computing
- Vol. 7 (4), 1160-1174
- https://doi.org/10.1137/0907079
Abstract
,A quadrati, polar decomposition, singular value decomposition, Newton’s method, matrix square root AMS(MOS) subject classifications. 65F25, 65F30, 65F35Keywords
This publication has 21 references indexed in Scilit:
- Computing real square roots of a real matrixLinear Algebra and its Applications, 1987
- A Schur method for the square root of a matrixLinear Algebra and its Applications, 1983
- Linear model reduction and solution of the algebraic Riccati equation by use of the sign function†International Journal of Control, 1980
- A faster, more stable method for computing the pth roots of positive definite matricesLinear Algebra and its Applications, 1979
- The numerical solution ofA'Q+QA = -CIEEE Transactions on Automatic Control, 1977
- A unidimensional convergence test for matrix iterative processes applied to Strapdown NavigationInternational Journal for Numerical Methods in Engineering, 1977
- The matrix sign function and computations in systemsApplied Mathematics and Computation, 1976
- Closest Unitary, Orthogonal and Hermitian Operators to a Given OperatorMathematics Magazine, 1975
- Optimal matrices describing linear systems.AIAA Journal, 1968
- Some metric inequalities in the space of matricesProceedings of the American Mathematical Society, 1955