کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
567175 876055 2007 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The matrix-restricted total least-squares problem
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر پردازش سیگنال
پیش نمایش صفحه اول مقاله
The matrix-restricted total least-squares problem
چکیده انگلیسی

We present and study the matrix-restricted total least squares   (MRTLS) devised to solve linear systems of the form Ax≈bAx≈b where AA and bb are both subjected to noise and AA has errors of the form DECDEC. DD and CC are known matrices and EE is unknown. We show that the MRTLS problem amounts to solving a problem of minimizing a sum of fractional quadratic terms and a quadratic function and compare it to the related restricted TLS problem of Van Huffel and Zha [The restricted total least squares problem: formulation, algorithm, and properties, SIAM J. Matrix Anal. Appl. 12(2) (1991) 292–309.]. Finally, we present an algorithm for solving the MRTLS, which is based on a reduction to a single-variable minimization problem. This reduction is shown to have the ability of eliminating local optima points.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Signal Processing - Volume 87, Issue 10, October 2007, Pages 2303–2312
نویسندگان
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