## On graded QR decompositions of products of matrices.(English)Zbl 0855.65036

The author introduces a new method to compute the singular values and vectors of a product of $$n \times n$$ matrices. The method is based on the successive factorization $$A_1 A_2 \dots A_m = QRP^T$$, where $$Q$$ is orthogonal, $$R$$ is graded upper triangular, and $$P$$ is a permutation matrix.

### MSC:

 65F20 Numerical solutions to overdetermined systems, pseudoinverses 65F15 Numerical computation of eigenvalues and eigenvectors of matrices
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