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The Joint Bidiagonalization of a Matrix Pair with Inaccurate Inner Iterations

The Joint Bidiagonalization of a Matrix Pair with Inaccurate Inner Iterations

.The joint bidiagonalization (JBD) process iteratively reduces a matrix pair \(\{A,L\}\) to two bidiagonal forms simultaneously, which can be used for computing a partial generalized singular value decomposition (GSVD) of \(\{A,L\}\). The process has a nested inner-outer iteration structure, where the inner iteration usually cannot be computed exactly. In this …