Verification of dLVv Transformation for Singular Vector Computation with High Accuracy
نویسندگان
چکیده
Let a singular value of a bidiagonal matrix be known. Then the corresponding singular vector can be computed through the twisted factorization of a tridiagonal matrix by the discrete Lotka-Volterra with variable step-size (dLVv) transformation. Errors of the singular value then sensitively affect the conditional number of the tridiagonal matrix. In this paper, we first examine a relationship between errors of singular value and the accuracy of singular vector. Secondly, we discuss a suitable parameter choice of the dLVv transformation by evaluating the orthogonality of singular vectors and the errors of singular value decomposi-
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