Le, Thanh Hieu; Van Barel, Marc A convex optimization model for finding non-negative polynomials. (English) Zbl 1382.90076 J. Comput. Appl. Math. 301, 121-134 (2016). MSC: 90C25 90C22 93C80 93E11 94C30 PDFBibTeX XMLCite \textit{T. H. Le} and \textit{M. Van Barel}, J. Comput. Appl. Math. 301, 121--134 (2016; Zbl 1382.90076) Full Text: DOI
Bultheel, A.; van Gucht, P.; van Barel, M. Orthogonal rational functions with real coefficients and semiseparable matrices. (English) Zbl 1178.93065 J. Comput. Appl. Math. 233, No. 5, 1192-1201 (2010). MSC: 93B60 65F30 65F18 93B30 PDFBibTeX XMLCite \textit{A. Bultheel} et al., J. Comput. Appl. Math. 233, No. 5, 1192--1201 (2010; Zbl 1178.93065) Full Text: DOI
Bultheel, A.; Van Barel, M.; Rolain, Y.; Pintelon, R. Numerically robust transfer function modeling from noisy frequency domain data. (English) Zbl 1365.93156 IEEE Trans. Autom. Control 50, No. 11, 1835-1839 (2005). MSC: 93B40 93C80 PDFBibTeX XMLCite \textit{A. Bultheel} et al., IEEE Trans. Autom. Control 50, No. 11, 1835--1839 (2005; Zbl 1365.93156) Full Text: DOI
Bultheel, A.; Van Barel, M.; Van gucht, P. Orthogonal basis functions in discrete least-squares rational approximation. (English) Zbl 1046.93010 J. Comput. Appl. Math. 164-165, 175-194 (2004). MSC: 93B30 41A20 65F18 42C15 PDFBibTeX XMLCite \textit{A. Bultheel} et al., J. Comput. Appl. Math. 164--165, 175--194 (2004; Zbl 1046.93010) Full Text: DOI
Van Gestel, Tony; Van Barel, Marc; De Moor, Bart On an alternative parametrization of the solutions of the partial realization problem. (English) Zbl 0979.93017 Acta Appl. Math. 61, No. 1-3, 317-331 (2000). Reviewer: Valeriu Prepeliţă (Bucureşti) MSC: 93B15 41A20 41A05 PDFBibTeX XMLCite \textit{T. Van Gestel} et al., Acta Appl. Math. 61, No. 1--3, 317--331 (2000; Zbl 0979.93017) Full Text: DOI
Van Barel, Marc; Bultheel, Adhemar A generalized minimal partial realization problem. (English) Zbl 0877.93025 Linear Algebra Appl. 254, 527-551 (1997). Reviewer: M.Tibaldi (Bologna) MSC: 93B20 93B11 41A05 41A20 65D05 PDFBibTeX XMLCite \textit{M. Van Barel} and \textit{A. Bultheel}, Linear Algebra Appl. 254, 527--551 (1997; Zbl 0877.93025) Full Text: DOI
Bultheel, Adhemar; Van Barel, Marc Linear prediction: Mathematics and engineering. (English) Zbl 0792.94001 Bull. Belg. Math. Soc. - Simon Stevin 1, No. 1, 1-58 (1994). MSC: 94A12 93E11 65F05 94-01 41A20 PDFBibTeX XMLCite \textit{A. Bultheel} and \textit{M. Van Barel}, Bull. Belg. Math. Soc. - Simon Stevin 1, No. 1, 1--58 (1994; Zbl 0792.94001) Full Text: EuDML
Van Barel, Marc; Bultheel, Adhemar An algebraic method to solve the minimal partial realization problem for matrix sequences. (English) Zbl 0682.15018 Linear circuits, systems and signal processing, Sel. Pap. 8th Int. Symp. Math. Theory Networks Syst., Phoenix/Ariz. 1987, 93-100 (1988). Reviewer: Y.C.Yang MSC: 15A54 93C05 93B35 PDFBibTeX XML
Van Barel, Marc; Bultheel, Adhemar A minimal partial realization algorithm for data with relative errors. (English) Zbl 0667.93031 Linear algebra in signals, systems, and control, Proc. SIAM Conf., Boston/Mass. 1986, 459-477 (1988). MSC: 93B40 93B20 93C05 93B15 PDFBibTeX XML
van Barel, M. Padé techniques for model reduction in linear system theory: a survey. (English) Zbl 0583.65044 J. Comput. Appl. Math. 14, 401-438 (1986). MSC: 65K10 93C05 65D15 PDFBibTeX XMLCite \textit{M. van Barel}, J. Comput. Appl. Math. 14, 401--438 (1986; Zbl 0583.65044) Full Text: DOI