Stability of Two Direct Methods for Bidiagonalization and Partial Least Squares

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Stability of Two Direct Methods for Bidiagonalization and Partial Least Squares

The partial least squares (PLS) method computes a sequence of approximate solutions xk ∈ Kk(AA,A b), k = 1, 2, . . . , to the least squares problem minx ‖Ax− b‖2. If carried out to completion, the method always terminates with the pseudoinverse solution x† = A†b. Two direct PLS algorithms are analyzed. The first uses the Golub–Kahan Householder algorithm for reducing A to upper bidiagonal form....

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ژورنال

عنوان ژورنال: SIAM Journal on Matrix Analysis and Applications

سال: 2014

ISSN: 0895-4798,1095-7162

DOI: 10.1137/120895639