Gift, Sarah; Woerdeman, Hugo J. Real factorization of positive semidefinite matrix polynomials. (English) Zbl 07787818 Linear Algebra Appl. 683, 125-150 (2024). MSC: 47A68 46C20 15B48 93B05 PDFBibTeX XMLCite \textit{S. Gift} and \textit{H. J. Woerdeman}, Linear Algebra Appl. 683, 125--150 (2024; Zbl 07787818) Full Text: DOI arXiv
Dela Rosa, Kennett L.; Woerdeman, Hugo J. Completing an operator matrix and the free joint numerical radius. (English) Zbl 07643711 Complex Anal. Oper. Theory 16, No. 8, Paper No. 114, 34 p. (2022). MSC: 47A12 47A13 47A56 47A62 15A22 15A24 15A60 15A83 00A27 PDFBibTeX XMLCite \textit{K. L. Dela Rosa} and \textit{H. J. Woerdeman}, Complex Anal. Oper. Theory 16, No. 8, Paper No. 114, 34 p. (2022; Zbl 07643711) Full Text: DOI
Poon, Edward; Spitkovsky, Ilya M.; Woerdeman, Hugo J. Factorization of singular matrix polynomials and matrices with circular higher rank numerical ranges. (English) Zbl 07579346 SIAM J. Matrix Anal. Appl. 43, No. 3, 1423-1439 (2022). MSC: 47A68 47A56 15A23 15A60 47A12 PDFBibTeX XMLCite \textit{E. Poon} et al., SIAM J. Matrix Anal. Appl. 43, No. 3, 1423--1439 (2022; Zbl 07579346) Full Text: DOI
Jackson, Joshua D.; Woerdeman, Hugo J. Minimal realizations and determinantal representations in the indefinite setting. (English) Zbl 1490.15014 Integral Equations Oper. Theory 94, No. 2, Paper No. 18, 13 p. (2022). MSC: 15A16 15A15 47A13 13P15 PDFBibTeX XMLCite \textit{J. D. Jackson} and \textit{H. J. Woerdeman}, Integral Equations Oper. Theory 94, No. 2, Paper No. 18, 13 p. (2022; Zbl 1490.15014) Full Text: DOI
Dela Rosa, Kennett L.; Woerdeman, Hugo J. Location of Ritz values in the numerical range of normal matrices. (English) Zbl 1483.15005 Linear Multilinear Algebra 69, No. 15, 2749-2778 (2021). MSC: 15A18 15A29 15A60 47A12 47A20 65F55 PDFBibTeX XMLCite \textit{K. L. Dela Rosa} and \textit{H. J. Woerdeman}, Linear Multilinear Algebra 69, No. 15, 2749--2778 (2021; Zbl 1483.15005) Full Text: DOI arXiv
Poon, Edward; Woerdeman, Hugo J. Isospectrality and matrices with concentric circular higher rank numerical ranges. (English) Zbl 1476.15018 Linear Algebra Appl. 631, 174-180 (2021). Reviewer: Tin Yau Tam (Reno) MSC: 15A18 15B57 15A22 15A60 PDFBibTeX XMLCite \textit{E. Poon} and \textit{H. J. Woerdeman}, Linear Algebra Appl. 631, 174--180 (2021; Zbl 1476.15018) Full Text: DOI arXiv
Dela Rosa, Kennett L.; Woerdeman, Hugo J. Continuity of submatrices and Ritz sets associated to a point in the numerical range. (English) Zbl 1476.15012 Linear Algebra Appl. 624, 1-13 (2021). MSC: 15A18 15A60 47A12 47A20 PDFBibTeX XMLCite \textit{K. L. Dela Rosa} and \textit{H. J. Woerdeman}, Linear Algebra Appl. 624, 1--13 (2021; Zbl 1476.15012) Full Text: DOI
Grossmann, Ben; Woerdeman, Hugo J. Fractional minimal rank. (English) Zbl 1460.15030 Linear Multilinear Algebra 69, No. 1, 19-39 (2021). Reviewer: John D. Dixon (Ottawa) MSC: 15A83 15A03 15A69 PDFBibTeX XMLCite \textit{B. Grossmann} and \textit{H. J. Woerdeman}, Linear Multilinear Algebra 69, No. 1, 19--39 (2021; Zbl 1460.15030) Full Text: DOI arXiv
Woerdeman, Hugo J. Linear algebra. What you need to know. (English) Zbl 1457.15003 Textbooks in Mathematics. Boca Raton, FL: CRC Press (ISBN 978-0-367-69738-9/hbk; 978-0-367-68473-0/pbk; 978-1-003-13770-2/ebook). xxii, 261 p. (2021). MSC: 15-01 15Axx PDFBibTeX XMLCite \textit{H. J. Woerdeman}, Linear algebra. What you need to know. Boca Raton, FL: CRC Press (2021; Zbl 1457.15003) Full Text: DOI
Xie, Dongxiu; Woerdeman, Hugo J.; Xu, An-Bao Parametrized quasi-soft thresholding operator for compressed sensing and matrix completion. (English) Zbl 1442.65078 Comput. Appl. Math. 39, No. 3, Paper No. 149, 24 p. (2020). MSC: 65F55 15A83 PDFBibTeX XMLCite \textit{D. Xie} et al., Comput. Appl. Math. 39, No. 3, Paper No. 149, 24 p. (2020; Zbl 1442.65078) Full Text: DOI
Grossmann, Ben W.; Woerdeman, Hugo J. On the preservers of maximally entangled states. (English) Zbl 1429.15025 Linear Algebra Appl. 583, 171-194 (2019). Reviewer: Janko Marovt (Maribor) MSC: 15A86 15A04 15A69 15B57 46B04 46N50 81P40 PDFBibTeX XMLCite \textit{B. W. Grossmann} and \textit{H. J. Woerdeman}, Linear Algebra Appl. 583, 171--194 (2019; Zbl 1429.15025) Full Text: DOI arXiv
Grinshpan, Anatolii; Woerdeman, Hugo J. A linear-algebraic proof of Hilbert’s ternary quartic theorem. (English) Zbl 1443.11029 Am. Math. Mon. 126, No. 7, 620-627 (2019). Reviewer: Matthew C. Lettington (Cardiff) MSC: 11E20 15B48 90C22 PDFBibTeX XMLCite \textit{A. Grinshpan} and \textit{H. J. Woerdeman}, Am. Math. Mon. 126, No. 7, 620--627 (2019; Zbl 1443.11029) Full Text: DOI arXiv
Sremac, Stefan; Woerdeman, Hugo J.; Wolkowicz, Henry Maximum determinant positive definite Toeplitz completions. (English) Zbl 1426.15044 Bart, Harm (ed.) et al., Operator theory, analysis and the state space approach. In honor of Rien Kaashoek. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 271, 421-441 (2018). MSC: 15B05 15A60 15A83 90C22 PDFBibTeX XMLCite \textit{S. Sremac} et al., Oper. Theory: Adv. Appl. 271, 421--441 (2018; Zbl 1426.15044) Full Text: DOI arXiv
Cao, Lei; Woerdeman, Hugo J. Real zero polynomials and A. Horn’s problem. (English) Zbl 1391.15036 Linear Algebra Appl. 552, 147-158 (2018). MSC: 15A18 15A42 05A17 PDFBibTeX XMLCite \textit{L. Cao} and \textit{H. J. Woerdeman}, Linear Algebra Appl. 552, 147--158 (2018; Zbl 1391.15036) Full Text: DOI arXiv
Paulsen, Vern I.; Woerdeman, Hugo J. Reverse Cholesky factorization and tensor products of nest algebras. (English) Zbl 1527.15009 Proc. Am. Math. Soc. 146, No. 4, 1693-1698 (2018). MSC: 15A23 15A60 47L35 47A68 46L06 46E22 PDFBibTeX XMLCite \textit{V. I. Paulsen} and \textit{H. J. Woerdeman}, Proc. Am. Math. Soc. 146, No. 4, 1693--1698 (2018; Zbl 1527.15009) Full Text: DOI arXiv
Davidson, Kenneth R.; Paulsen, Vern I.; Woerdeman, Hugo J. Complete spectral sets and numerical range. (English) Zbl 06830479 Proc. Am. Math. Soc. 146, No. 3, 1189-1195 (2018). MSC: 47A12 47A25 15A60 PDFBibTeX XMLCite \textit{K. R. Davidson} et al., Proc. Am. Math. Soc. 146, No. 3, 1189--1195 (2018; Zbl 06830479) Full Text: DOI arXiv
Grinshpan, Anatolii; Kaliuzhnyi-Verbovetskyi, Dmitry S.; Vinnikov, Victor; Woerdeman, Hugo J. Stable and real-zero polynomials in two variables. (English) Zbl 1375.32008 Multidimensional Syst. Signal Process. 27, No. 1, 1-26 (2016). MSC: 32A10 15A15 PDFBibTeX XMLCite \textit{A. Grinshpan} et al., Multidimensional Syst. Signal Process. 27, No. 1, 1--26 (2016; Zbl 1375.32008) Full Text: DOI arXiv
Grinshpan, Anatolii; Kaliuzhnyi-Verbovetskyi, Dmitry S.; Vinnikov, Victor; Woerdeman, Hugo J. Matrix-valued Hermitian Positivstellensatz, lurking contractions, and contractive determinantal representations of stable polynomials. (English) Zbl 1377.47005 Eisner, Tanja (ed.) et al., Operator theory, function spaces, and applications. International workshop on operator theory and applications, Amsterdam, The Netherlands, July 14–18, 2014. Basel: Birkhäuser/Springer (ISBN 978-3-319-31381-8/hbk; 978-3-319-31383-2/ebook). Operator Theory: Advances and Applications 255, 123-136 (2016). MSC: 47A13 15A15 13P15 90C25 93B28 47N70 PDFBibTeX XMLCite \textit{A. Grinshpan} et al., Oper. Theory: Adv. Appl. 255, 123--136 (2016; Zbl 1377.47005) Full Text: DOI arXiv
Grinshpan, Anatolii; Kaliuzhnyi-Verbovetskyi, Dmitry S.; Vinnikov, Victor; Woerdeman, Hugo J. Contractive determinantal representations of stable polynomials on a matrix polyball. (English) Zbl 1343.15008 Math. Z. 283, No. 1-2, 25-37 (2016). Reviewer: Jorma K. Merikoski (Tampere) MSC: 15A15 32A10 47N70 14A22 PDFBibTeX XMLCite \textit{A. Grinshpan} et al., Math. Z. 283, No. 1--2, 25--37 (2016; Zbl 1343.15008) Full Text: DOI arXiv
Woerdeman, Hugo J. Advanced linear algebra. (English) Zbl 1343.15001 Textbooks in Mathematics. Boca Raton, FL: CRC Press (ISBN 978-1-4987-5403-3/hbk; 978-1-4987-5405-7/ebook). xxi, 327 p. (2016). Reviewer: Cyril Fischer (Praha) MSC: 15-01 15A04 15A21 15A63 65F20 15A69 65H04 68Q12 94B35 81P68 PDFBibTeX XMLCite \textit{H. J. Woerdeman}, Advanced linear algebra. Boca Raton, FL: CRC Press (2016; Zbl 1343.15001)
Greif, Chen (ed.); Psarrakos, Panayiotis J. (ed.); Woerdeman, Hugo J. (ed.) Preface to the 18th ILAS conference proceedings, Providence, 2013. (English) Zbl 1315.00100 Linear Algebra Appl. 468, 1-2 (2015). MSC: 00B25 15-06 PDFBibTeX XMLCite \textit{C. Greif} (ed.) et al., Linear Algebra Appl. 468, 1--2 (2015; Zbl 1315.00100) Full Text: DOI
Cao, Lei; Woerdeman, Hugo J. A normal variation of the Horn problem: the rank 1 case. (English) Zbl 1297.15010 Ann. Funct. Anal. 5, No. 2, 138-146 (2014). MSC: 15A18 15A29 15B57 15A42 PDFBibTeX XMLCite \textit{L. Cao} and \textit{H. J. Woerdeman}, Ann. Funct. Anal. 5, No. 2, 138--146 (2014; Zbl 1297.15010) Full Text: DOI EMIS Link
Voronin, Sergey; Woerdeman, Hugo J. A new iterative firm-thresholding algorithm for inverse problems with sparsity constraints. (English) Zbl 1294.65039 Appl. Comput. Harmon. Anal. 35, No. 1, 151-164 (2013). MSC: 65F10 15A29 65F50 65F22 94A12 PDFBibTeX XMLCite \textit{S. Voronin} and \textit{H. J. Woerdeman}, Appl. Comput. Harmon. Anal. 35, No. 1, 151--164 (2013; Zbl 1294.65039) Full Text: DOI
Woerdeman, Hugo J. Determinantal representations of stable polynomials. (English) Zbl 1282.15009 Kaashoek, Marinus A. (ed.) et al., Advances in structured operator theory and related areas. The Leonid Lerer anniversary volume on the occasion of his 70th birthday. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0638-1/hbk; 978-3-0348-0639-8/ebook). Operator Theory: Advances and Applications 237, 241-246 (2013). MSC: 15A15 11C20 47A13 47A48 PDFBibTeX XMLCite \textit{H. J. Woerdeman}, Oper. Theory: Adv. Appl. 237, 241--246 (2013; Zbl 1282.15009) Full Text: DOI
Grinshpan, Anatolii; Kaliuzhnyi-Verbovetskyi, Dmitry S.; Woerdeman, Hugo J. Norm-constrained determinantal representations of multivariable polynomials. (English) Zbl 1273.15004 Complex Anal. Oper. Theory 7, No. 3, 635-654 (2013). MSC: 15A15 47A13 47A20 47A48 PDFBibTeX XMLCite \textit{A. Grinshpan} et al., Complex Anal. Oper. Theory 7, No. 3, 635--654 (2013; Zbl 1273.15004) Full Text: DOI arXiv
Kaashoek, Marinus A. (ed.); Rodman, Leiba (ed.); Woerdeman, Hugo J. (ed.) Advances in structured operator theory and related areas. The Leonid Lerer anniversary volume on the occasion of his 70th birthday. (English) Zbl 1272.47001 Operator Theory: Advances and Applications 237. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0638-1/hbk; 978-3-0348-0639-8/ebook). xix, 246 p. (2013). MSC: 47-06 00B15 00B30 01A70 47A68 47B35 47A13 47A48 39Bxx 15A15 PDFBibTeX XMLCite \textit{M. A. Kaashoek} (ed.) et al., Advances in structured operator theory and related areas. The Leonid Lerer anniversary volume on the occasion of his 70th birthday. Basel: Birkhäuser/Springer (2013; Zbl 1272.47001) Full Text: DOI
Wasson, Ryan D.; Woerdeman, Hugo J. The normal defect of some classes of matrices. (English) Zbl 1269.15030 Linear Algebra Appl. 438, No. 8, 3530-3546 (2013). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15A83 15A18 15B57 PDFBibTeX XMLCite \textit{R. D. Wasson} and \textit{H. J. Woerdeman}, Linear Algebra Appl. 438, No. 8, 3530--3546 (2013; Zbl 1269.15030) Full Text: DOI arXiv
Koyuncu, Selcuk; Woerdeman, Hugo J. The inverse of a two-level positive definite Toeplitz operator matrix. (English) Zbl 1259.15042 Dym, Harry (ed.) et al., A panorama of modern operator theory and related topics. The Israel Gohberg memorial volume. Basel: Birkhäuser (ISBN 978-3-0348-0220-8/hbk; 978-3-0348-0221-5/ebook). Operator Theory: Advances and Applications 218, 387-401 (2012). Reviewer: Wai-Shun Cheung (Hong Kong) MSC: 15B05 15A09 65F05 PDFBibTeX XMLCite \textit{S. Koyuncu} and \textit{H. J. Woerdeman}, Oper. Theory: Adv. Appl. 218, 387--401 (2012; Zbl 1259.15042) Full Text: DOI
Koyuncu, Selcuk; Woerdeman, Hugo J. The inverse of nonsymmetric two-level Toeplitz operator matrices. (English) Zbl 1268.47037 Linear Algebra Appl. 437, No. 9, 2142-2158 (2012). Reviewer: Leonid Golinskii (Kharkov) MSC: 47B35 47A56 15B05 PDFBibTeX XMLCite \textit{S. Koyuncu} and \textit{H. J. Woerdeman}, Linear Algebra Appl. 437, No. 9, 2142--2158 (2012; Zbl 1268.47037) Full Text: DOI
Bakonyi, Mihály; Woerdeman, Hugo J. Matrix completions, moments, and sums of Hermitian squares. (English) Zbl 1236.15056 Princeton Series in Applied Mathematics. Princeton, NJ: Princeton University Press (ISBN 978-0-691-12889-4/hbk; 978-1-400-84059-5/ebook). xii, 518 p. (2011). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15A83 15-02 15B05 15B57 90C22 15B48 44A60 47A05 47A20 47A57 PDFBibTeX XMLCite \textit{M. Bakonyi} and \textit{H. J. Woerdeman}, Matrix completions, moments, and sums of Hermitian squares. Princeton, NJ: Princeton University Press (2011; Zbl 1236.15056)
Chu, Delin; Hung, Y. S.; Woerdeman, Hugo J. Inertia and rank characterizations of some matrix expressions. (English) Zbl 1198.15010 SIAM J. Matrix Anal. Appl. 31(2009), No. 3, 1187-1226 (2010). Reviewer: Jorma K. Merikoski (Tampere) MSC: 15A24 15A03 15A18 65F30 15A83 PDFBibTeX XMLCite \textit{D. Chu} et al., SIAM J. Matrix Anal. Appl. 31, No. 3, 1187--1226 (2010; Zbl 1198.15010) Full Text: DOI Link
Kaliuzhnyi-Verbovetskyi, Dmitry S.; Spitkovsky, Ilya M.; Woerdeman, Hugo J. Matrices with normal defect one. (English) Zbl 1181.15045 Oper. Matrices 3, No. 3, Article ID 24, 401-438 (2009). Reviewer: Grozio Stanilov (Sofia) MSC: 15B57 47A20 47B15 81P68 15A83 15A60 PDFBibTeX XMLCite \textit{D. S. Kaliuzhnyi-Verbovetskyi} et al., Oper. Matrices 3, No. 3, Article ID 24, 401--438 (2009; Zbl 1181.15045) Full Text: arXiv Link
Woerdeman, Hugo J. Estimates of inverses of multivariable Toeplitz matrices. (English) Zbl 1163.15005 Oper. Matrices 2, No. 4, 507-515 (2008). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 15A09 47B35 65F30 15B57 PDFBibTeX XMLCite \textit{H. J. Woerdeman}, Oper. Matrices 2, No. 4, 507--515 (2008; Zbl 1163.15005) Full Text: DOI
Kimsey, David P.; Woerdeman, Hugo J. Minimal normal and commuting completions. (English) Zbl 1155.15018 Int. J. Inf. Syst. Sci. 4, No. 1, 50-59 (2008). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15A29 15A24 15B57 PDFBibTeX XMLCite \textit{D. P. Kimsey} and \textit{H. J. Woerdeman}, Int. J. Inf. Syst. Sci. 4, No. 1, 50--59 (2008; Zbl 1155.15018)
Woerdeman, Hugo J. A matrix and its inverse: Revisiting minimal rank completions. (English) Zbl 1136.15002 Ball, Joseph A. (ed.) et al., Recent advances in matrix and operator theory. Proceedings of the 16th international workshop on operator theory and applications, IWOTA, Storrs, CT, USA, 2005. Basel: Birkhäuser (ISBN 978-3-7643-8538-5/hbk). Operator Theory: Advances and Applications 179, 329-338 (2008). MSC: 15A09 15A03 15A29 PDFBibTeX XMLCite \textit{H. J. Woerdeman}, Oper. Theory: Adv. Appl. 179, 329--338 (2008; Zbl 1136.15002) Full Text: arXiv
Woerdeman, Hugo J. The higher rank numerical range is convex. (English) Zbl 1137.15018 Linear Multilinear Algebra 56, No. 1-2, 65-67 (2008). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 15A60 PDFBibTeX XMLCite \textit{H. J. Woerdeman}, Linear Multilinear Algebra 56, No. 1--2, 65--67 (2008; Zbl 1137.15018) Full Text: DOI
Hachez, Yvan; Woerdeman, Hugo J. The Fischer-Frobenius transformation and outer factorization. (English) Zbl 1199.47089 Bakonyi, Mihály (ed.) et al., Operator theory, structured matrices, and dilations. Tiberiu Constantinescu memorial volume. Bucharest: Theta (ISBN 978-973-87899-0-6). Theta Series in Advanced Mathematics 7, 181-203 (2007). MSC: 47A68 47B35 15B48 90C22 PDFBibTeX XMLCite \textit{Y. Hachez} and \textit{H. J. Woerdeman}, Theta Ser. Adv. Math. 7, 181--203 (2007; Zbl 1199.47089)
Geronimo, Jeffrey S.; Woerdeman, Hugo Two variable orthogonal polynomials on the bicircle and structured matrices. (English) Zbl 1149.42015 SIAM J. Matrix Anal. Appl. 29, No. 3, 796-825 (2007). MSC: 42C05 30E05 47A57 15B48 47B35 PDFBibTeX XMLCite \textit{J. S. Geronimo} and \textit{H. Woerdeman}, SIAM J. Matrix Anal. Appl. 29, No. 3, 796--825 (2007; Zbl 1149.42015) Full Text: DOI arXiv
Fallat, Shaun M.; Woerdeman, Hugo J. Refinements on the interlacing of eigenvalues of certain totally nonnegative matrices. (English) Zbl 1145.15009 Oper. Matrices 1, No. 2, 271-281 (2007). Reviewer: Mariano Gasca (Zaragoza) MSC: 15A18 15B48 42C05 PDFBibTeX XMLCite \textit{S. M. Fallat} and \textit{H. J. Woerdeman}, Oper. Matrices 1, No. 2, 271--281 (2007; Zbl 1145.15009) Full Text: DOI
Geronimo, Jeffrey S.; Woerdeman, Hugo J. Two-variable polynomials: intersecting zeros and stability. (English) Zbl 1374.15025 IEEE Trans. Circuits Syst. I, Regul. Pap. 53, No. 5, 1130-1139 (2006). MSC: 15A23 26C05 93B60 PDFBibTeX XMLCite \textit{J. S. Geronimo} and \textit{H. J. Woerdeman}, IEEE Trans. Circuits Syst. I, Regul. Pap. 53, No. 5, 1130--1139 (2006; Zbl 1374.15025) Full Text: DOI
Woerdeman, Hugo J. Interlacing properties of roots of certain biorthogonal polynomials. (English) Zbl 1119.15020 J. Approximation Theory 143, No. 2, 150-158 (2006). MSC: 15B48 33C45 PDFBibTeX XMLCite \textit{H. J. Woerdeman}, J. Approx. Theory 143, No. 2, 150--158 (2006; Zbl 1119.15020) Full Text: DOI
Li, Chi-Kwong; Woerdeman, Hugo J. A lower bound on the C-numerical radius of nilpotent matrices appearing in coherent spectroscopy. (English) Zbl 1098.15022 SIAM J. Matrix Anal. Appl. 27, No. 3, 793-800 (2006). Reviewer: Alexey Alimov (Moskva) MSC: 15A60 15A18 15B57 81V80 PDFBibTeX XMLCite \textit{C.-K. Li} and \textit{H. J. Woerdeman}, SIAM J. Matrix Anal. Appl. 27, No. 3, 793--800 (2006; Zbl 1098.15022) Full Text: DOI Link
Geronimo, Jeffrey S.; Woerdeman, Hugo J. The operator valued autoregressive filter problem and the suboptimal Nehari problem in two variables. (English) Zbl 1098.47016 Integral Equations Oper. Theory 53, No. 3, 343-361 (2005). Reviewer: Dan E. Popovici (Timişoara) MSC: 47A57 47B35 15B48 42C05 47A20 60G25 43A17 PDFBibTeX XMLCite \textit{J. S. Geronimo} and \textit{H. J. Woerdeman}, Integral Equations Oper. Theory 53, No. 3, 343--361 (2005; Zbl 1098.47016) Full Text: DOI arXiv
Geronimo, Jeffrey S.; Woerdeman, Hugo J. Positive extension, Fejér-Riesz factorization and autoregressive filters in two variables. (English) Zbl 1084.42019 Ann. Math. (2) 160, No. 3, 839-906 (2005). Reviewer: Ilie Valuşescu (Bucureşti) MSC: 42C05 47A57 15A23 PDFBibTeX XMLCite \textit{J. S. Geronimo} and \textit{H. J. Woerdeman}, Ann. Math. (2) 160, No. 3, 839--906 (2005; Zbl 1084.42019) Full Text: DOI Euclid
Dritschel, Michael A.; Woerdeman, Hugo J. Outer factorizations in one and several variables. (English) Zbl 1073.47024 Trans. Am. Math. Soc. 357, No. 11, 4661-4679 (2005). Reviewer: Ilie Valuşescu (Bucureşti) MSC: 47A68 47B35 15B48 42A05 PDFBibTeX XMLCite \textit{M. A. Dritschel} and \textit{H. J. Woerdeman}, Trans. Am. Math. Soc. 357, No. 11, 4661--4679 (2005; Zbl 1073.47024) Full Text: DOI arXiv
Hachez, Yvan; Woerdeman, Hugo J. Approximating sums of squares with a single square. (English) Zbl 1092.47019 Linear Algebra Appl. 399, 187-201 (2005). Reviewer: Ilie Valuşescu (Bucureşti) MSC: 47A68 15B48 42B05 93B36 PDFBibTeX XMLCite \textit{Y. Hachez} and \textit{H. J. Woerdeman}, Linear Algebra Appl. 399, 187--201 (2005; Zbl 1092.47019) Full Text: DOI
Woerdeman, Hugo J. The separability problem and normal completions. (English) Zbl 1050.15017 Linear Algebra Appl. 376, 85-95 (2004). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15A29 15B57 81P15 PDFBibTeX XMLCite \textit{H. J. Woerdeman}, Linear Algebra Appl. 376, 85--95 (2004; Zbl 1050.15017) Full Text: DOI
Woerdeman, Hugo J.; Geronimo, Jeffrey S.; Castro, Glaysar A numerical algorithm for stable 2D autoregressive filter design. (English) Zbl 1144.94316 Signal Process. 83, No. 6, 1299-1308 (2003). MSC: 94A11 93E11 42C05 15B48 42B05 47A57 47A20 60G25 60G10 PDFBibTeX XMLCite \textit{H. J. Woerdeman} et al., Signal Process. 83, No. 6, 1299--1308 (2003; Zbl 1144.94316) Full Text: DOI
Rodman, Leiba; Spitkovsky, Ilya M.; Woerdeman, Hugo J. Noncanonical factorizations of almost periodic multivariable matrix functions. (English) Zbl 1079.47019 Böttcher, Albrecht (ed.) et al., Singular integral operators, factorization and applications. Proceedings of the 12th international workshop on operator theory and applications, IWOTA 2000, Faro, Portugal, September 12–15, 2000. Basel: Birkhäuser (ISBN 3-7643-6947-7/hbk). Oper. Theory, Adv. Appl. 142, 311-344 (2003). Reviewer: Maria Amelia Bastos (Lisboa) MSC: 47A56 42A75 26B99 15A54 47A68 47B35 PDFBibTeX XMLCite \textit{L. Rodman} et al., in: Singular integral operators, factorization and applications. Proceedings of the 12th international workshop on operator theory and applications, IWOTA 2000, Faro, Portugal, September 12--15, 2000. Basel: Birkhäuser. 311--344 (2003; Zbl 1079.47019)
Rodman, Leiba; Spitkovsky, Ilya M.; Woerdeman, Hugo J. Contractive extension problems for matrix valued almost periodic functions of several variables. (English) Zbl 1025.42011 J. Oper. Theory 47, No. 1, 3-35 (2002). Reviewer: A.Gheondea (Bucureşti) MSC: 42B99 42A75 47A56 42A82 47B35 15A54 PDFBibTeX XMLCite \textit{L. Rodman} et al., J. Oper. Theory 47, No. 1, 3--35 (2002; Zbl 1025.42011)
Rodman, Leiba; Spitkovsky, Ilya M.; Woerdeman, Hugo J. Abstract band method via factorization, positive and band extensions of multivariable almost periodic matrix functions, and spectral estimation. (English) Zbl 1017.47014 Mem. Am. Math. Soc. 762, 71 p. (2002). Reviewer: F.H.Vasilescu (Villeneuve d’Ascq) MSC: 47A57 42A75 47A68 15A54 47B35 42A82 93E10 60G12 PDFBibTeX XMLCite \textit{L. Rodman} et al., Abstract band method via factorization, positive and band extensions of multivariable almost periodic matrix functions, and spectral estimation. Providence, RI: American Mathematical Society (AMS) (2002; Zbl 1017.47014) Full Text: DOI
Okubo, K.; Woerdeman, H. J. Rank reducing matrix norms. (English) Zbl 1003.15024 Linear Multilinear Algebra 50, No. 2, 185-197 (2002). Reviewer: Rabe von Randow (Bonn) MSC: 15A60 15A03 PDFBibTeX XMLCite \textit{K. Okubo} and \textit{H. J. Woerdeman}, Linear Multilinear Algebra 50, No. 2, 185--197 (2002; Zbl 1003.15024) Full Text: DOI Link
Kaashoek, M. A.; Woerdeman, H. J. Positive extensions and diagonally connected patterns. (English) Zbl 0993.47017 Dijksma, A. (ed.) et al., Recent advances in operator theory. The Israel Gohberg anniversary volume. Proceedings of the international workshop on operator theory and its applications, IWOTA-98, Groningen, Netherlands, June 30-July 3, 1998. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 124, 287-305 (2001). Reviewer: Vyacheslav Pivovarchik (Odessa) MSC: 47A57 15A30 PDFBibTeX XMLCite \textit{M. A. Kaashoek} and \textit{H. J. Woerdeman}, in: Recent advances in operator theory. The Israel Gohberg anniversary volume. Proceedings of the international workshop on operator theory and its applications, IWOTA-98, Groningen, Netherlands, June 30--July 3, 1998. Basel: Birkhäuser. 287--305 (2001; Zbl 0993.47017)
Bostian, A. A.; Woerdeman, H. J. Unicity of minimal rank completions for tri-diagonal partial block matrices. (English) Zbl 0988.15004 Linear Algebra Appl. 325, No. 1-3, 23-55 (2001). Reviewer: Rabe von Randow (Bonn) MSC: 15A29 15A03 15A09 PDFBibTeX XMLCite \textit{A. A. Bostian} and \textit{H. J. Woerdeman}, Linear Algebra Appl. 325, No. 1--3, 23--55 (2001; Zbl 0988.15004) Full Text: DOI
Dritschel, Michael A.; Mccullough, Scott; Woerdeman, Hugo J. Model theory for \(\rho\)-contractions, \(\rho\leq 2\). (English) Zbl 0997.47006 J. Oper. Theory 41, No. 2, 321-350 (1999). MSC: 47A12 15A60 47A20 PDFBibTeX XMLCite \textit{M. A. Dritschel} et al., J. Oper. Theory 41, No. 2, 321--350 (1999; Zbl 0997.47006)
Bakonyi, M.; Rodman, L.; Spitkovsky, I. M.; Woerdeman, H. J. Positive matrix functions on the bitorus with prescribed Fourier coefficients in a band. (English) Zbl 0930.42010 J. Fourier Anal. Appl. 5, No. 1, 21-44 (1999). Reviewer: I.Valuşescu (Bucureşti) MSC: 42B99 47B35 15A54 60G35 PDFBibTeX XMLCite \textit{M. Bakonyi} et al., J. Fourier Anal. Appl. 5, No. 1, 21--44 (1999; Zbl 0930.42010) Full Text: DOI EuDML
Nævdal, Geir; Woerdeman, Hugo J. Cone inclusion numbers. (English) Zbl 0914.15015 SIAM J. Matrix Anal. Appl. 19, No. 3, 613-639 (1998). Reviewer: R.Covaci (Cluj-Napoca) MSC: 15B48 15B57 05C50 15A60 PDFBibTeX XMLCite \textit{G. Nævdal} and \textit{H. J. Woerdeman}, SIAM J. Matrix Anal. Appl. 19, No. 3, 613--639 (1998; Zbl 0914.15015) Full Text: DOI
Li, Chi-Kwong; Woerdeman, Hugo J. Special classes of positive and completely positive maps. (English) Zbl 0874.15002 Linear Algebra Appl. 255, 247-258 (1997). Reviewer: A.K.Lal (Kanpur) MSC: 15A04 PDFBibTeX XMLCite \textit{C.-K. Li} and \textit{H. J. Woerdeman}, Linear Algebra Appl. 255, 247--258 (1997; Zbl 0874.15002) Full Text: DOI
Woerdeman, Hugo J. Hermitian and normal completions. (English) Zbl 0895.15008 Linear Multilinear Algebra 42, No. 3, 239-280 (1997). Reviewer: T.Nôno (Hiroshima) MSC: 15B57 15A24 15A45 PDFBibTeX XMLCite \textit{H. J. Woerdeman}, Linear Multilinear Algebra 42, No. 3, 239--280 (1997; Zbl 0895.15008) Full Text: DOI
Dritschel, Michael A.; Woerdeman, Hugo J. Model theory and linear extreme points in the numerical radius unit ball. (English) Zbl 0913.47007 Mem. Am. Math. Soc. 615, 62 p. (1997). Reviewer: Wu Pei Yuan (Hsinchu) MSC: 47A12 47A20 15A60 47-02 46A55 PDFBibTeX XMLCite \textit{M. A. Dritschel} and \textit{H. J. Woerdeman}, Model theory and linear extreme points in the numerical radius unit ball. Providence, RI: American Mathematical Society (AMS) (1997; Zbl 0913.47007) Full Text: DOI
Bakonyi, Mihály; Kaftal, Victor G.; Weiss, Gary; Woerdeman, Hugo J. Bounds for operator/Hilbert-Schmidt norm minimization using entropy. (English) Zbl 0892.47006 Indiana Univ. Math. J. 46, No. 2, 405-425 (1997). MSC: 47A20 15A60 PDFBibTeX XMLCite \textit{M. Bakonyi} et al., Indiana Univ. Math. J. 46, No. 2, 405--425 (1997; Zbl 0892.47006) Full Text: DOI Link
Wainberg, Bella I.; Woerdeman, Hugo J. The maximum row length nonsingularity radius. (English) Zbl 0880.15033 Linear Algebra Appl. 247, 251-263 (1996). Reviewer: T.B.Andersen (Aarhus) MSC: 15A60 PDFBibTeX XMLCite \textit{B. I. Wainberg} and \textit{H. J. Woerdeman}, Linear Algebra Appl. 247, 251--263 (1996; Zbl 0880.15033) Full Text: DOI
Li, Chi-Kwong; Woerdeman, Hugo J. A research problem: A generalized numerical radius. (English) Zbl 0871.15029 Linear Multilinear Algebra 41, No. 1, 41-47 (1996). MSC: 15A60 47A12 PDFBibTeX XMLCite \textit{C.-K. Li} and \textit{H. J. Woerdeman}, Linear Multilinear Algebra 41, No. 1, 41--47 (1996; Zbl 0871.15029) Full Text: DOI
Barrett, Wayne W.; Lundquist, Michael E.; Johnson, Charles R.; Woerdeman, Hugo J. Completing a block diagonal matrix with a partially prescribed inverse. (English) Zbl 0831.15010 Linear Algebra Appl. 223-224, 73-87 (1995). Reviewer: V.Prepeliţă (Bucureşti) MSC: 15A24 15A09 PDFBibTeX XMLCite \textit{W. W. Barrett} et al., Linear Algebra Appl. 223--224, 73--87 (1995; Zbl 0831.15010) Full Text: DOI
Bakonyi, Mihály; Woerdeman, Hugo J. Maximum entropy elements in the intersection of an affine space and the cone of positive definite matrices. (English) Zbl 0827.15023 SIAM J. Matrix Anal. Appl. 16, No. 2, 369-376 (1995). Reviewer: W.Wiȩsław (Wrocław) MSC: 15B48 PDFBibTeX XMLCite \textit{M. Bakonyi} and \textit{H. J. Woerdeman}, SIAM J. Matrix Anal. Appl. 16, No. 2, 369--376 (1995; Zbl 0827.15023) Full Text: DOI
Kos, Johan; Woerdeman, Hugo J. Hermitian completions of band matrices and applications. (English) Zbl 0820.15013 Linear Algebra Appl. 215, 21-62 (1995). Reviewer: F.Uhlig (Auburn) MSC: 15A60 47A20 15B57 15A23 15A24 PDFBibTeX XMLCite \textit{J. Kos} and \textit{H. J. Woerdeman}, Linear Algebra Appl. 215, 21--62 (1995; Zbl 0820.15013) Full Text: DOI
Rodman, Leiba; Woerdeman, Hugo J. Perturbations, singular values, and ranks of partial triangular matrices. (English) Zbl 0820.15012 SIAM J. Matrix Anal. Appl. 16, No. 1, 278-288 (1995). Reviewer: F.Uhlig (Auburn) MSC: 15A60 15A24 47A20 15A18 93C55 15A03 93B15 PDFBibTeX XMLCite \textit{L. Rodman} and \textit{H. J. Woerdeman}, SIAM J. Matrix Anal. Appl. 16, No. 1, 278--288 (1995; Zbl 0820.15012) Full Text: DOI
Woerdeman, Hugo J. Superoptimal completions of triangular matrices. (English) Zbl 0824.47018 Integral Equations Oper. Theory 20, No. 4, 491-501 (1994). MSC: 47A66 47A20 15A18 PDFBibTeX XMLCite \textit{H. J. Woerdeman}, Integral Equations Oper. Theory 20, No. 4, 491--501 (1994; Zbl 0824.47018) Full Text: DOI
Woerdeman, Hugo J. Toeplitz minimal rank completions. (English) Zbl 0802.15001 Linear Algebra Appl. 202, 267-278 (1994). Reviewer: G.Bonanno (Davis) MSC: 15A03 15B57 PDFBibTeX XMLCite \textit{H. J. Woerdeman}, Linear Algebra Appl. 202, 267--278 (1994; Zbl 0802.15001) Full Text: DOI
Helton, J. William; Lam, Daniel; Woerdeman, Hugo J. Sparsity patterns with high rank extremal positive semidefinite matrices. (English) Zbl 0796.05065 SIAM J. Matrix Anal. Appl. 15, No. 1, 299-312 (1994). Reviewer: A.Torgašev (Beograd) MSC: 05C50 05B20 15B57 PDFBibTeX XMLCite \textit{J. W. Helton} et al., SIAM J. Matrix Anal. Appl. 15, No. 1, 299--312 (1994; Zbl 0796.05065) Full Text: DOI
Woerdeman, Hugo J. Minimal rank completions of partial banded matrices. (English) Zbl 0789.15001 Linear Multilinear Algebra 36, No. 1, 59-68 (1993). Reviewer: D.Kershaw (Lancaster) MSC: 15A03 15B57 PDFBibTeX XMLCite \textit{H. J. Woerdeman}, Linear Multilinear Algebra 36, No. 1, 59--68 (1993; Zbl 0789.15001) Full Text: DOI
Helton, J. William; Woerdeman, Hugo J. Symmetric Hankel operators: Minimal norm extensions and eigenstructures. (English) Zbl 0774.15015 Linear Algebra Appl. 185, 1-19 (1993). Reviewer: W.Wiȩsław (Wrocław) MSC: 15B57 65F30 15A18 PDFBibTeX XMLCite \textit{J. W. Helton} and \textit{H. J. Woerdeman}, Linear Algebra Appl. 185, 1--19 (1993; Zbl 0774.15015) Full Text: DOI
Gohberg, Israel; Rodman, Leiba; Shalom, Tamir; Woerdeman, Hugo J. Bounds for eigenvalues and singular values of matrix completions. (English) Zbl 0812.15009 Linear Multilinear Algebra 33, No. 3-4, 233-249 (1993). MSC: 15A42 15B57 PDFBibTeX XMLCite \textit{I. Gohberg} et al., Linear Multilinear Algebra 33, No. 3--4, 233--249 (1993; Zbl 0812.15009) Full Text: DOI
Nævdal, Geir; Woerdeman, Hugo J. Partial matrix contractions and intersections of matrix balls. (English) Zbl 0768.15019 Linear Algebra Appl. 175, 225-238 (1992). Reviewer: J.M.Day (San José) MSC: 15A60 PDFBibTeX XMLCite \textit{G. Nævdal} and \textit{H. J. Woerdeman}, Linear Algebra Appl. 175, 225--238 (1992; Zbl 0768.15019) Full Text: DOI
Gohberg, I.; Kaashoek, M. A.; Woerdeman, H. J. A note on extensions of band matrices with maximal and submaximal invertible blocks. (English) Zbl 0725.15022 Linear Algebra Appl. 150, 157-166 (1991). Reviewer: Yingchen Yang (Beijing) MSC: 15B57 65F05 PDFBibTeX XMLCite \textit{I. Gohberg} et al., Linear Algebra Appl. 150, 157--166 (1991; Zbl 0725.15022) Full Text: DOI
Woerdeman, H. J. Strictly contractive and positive completions for block matrices. (English) Zbl 0707.15006 Linear Algebra Appl. 136, 63-105 (1990). Reviewer: J.A.Ball MSC: 15A60 15A04 15B57 PDFBibTeX XMLCite \textit{H. J. Woerdeman}, Linear Algebra Appl. 136, 63--105 (1990; Zbl 0707.15006) Full Text: DOI
Woerdeman, H. J. Matrix and operator extension. (English) Zbl 0685.15019 CWI Tract, 68. Amsterdam: Centrum voor Wiskunde en Informatica (Based on the author’s thesis written at the Vrije Univ. Amsterdam). 158 p. Dfl. 48.00 (1989). Reviewer: L.Rodman MSC: 15A60 15-02 47A20 47Gxx PDFBibTeX XMLCite \textit{H. J. Woerdeman}, Matrix and operator extension. Amsterdam: Centrum voor Wiskunde en Informatica (1989; Zbl 0685.15019)
Woerdeman, H. J. Minimal rank completions for block matrices. (English) Zbl 0681.15002 Linear Algebra Appl. 121, 105-122 (1989). Reviewer: V.Mehrmann MSC: 15A03 15A15 15B57 15A18 PDFBibTeX XMLCite \textit{H. J. Woerdeman}, Linear Algebra Appl. 121, 105--122 (1989; Zbl 0681.15002) Full Text: DOI
Cohen, Nir; Johnson, Charles R.; Rodman, Leiba; Woerdeman, Hugo J. Ranks of completions of partial matrices. (English) Zbl 0676.15001 The Gohberg anniversary collection. Vol. I: Matrix theory papers, Proc. Int. Conf. Oper. Theory., Calgary/Canada 1988, Oper. Theory, Adv. Appl. 40, 165-185 (1989). Reviewer: J.D.Dixon MSC: 15A03 PDFBibTeX XML
Woerdeman, H. J. The lower order of lower triangular operators and minimal rank extensions. (English) Zbl 0644.47017 Integral Equations Oper. Theory 10, 859-879 (1987). Reviewer: H.J.Woerdeman MSC: 47A66 47A20 15A03 PDFBibTeX XMLCite \textit{H. J. Woerdeman}, Integral Equations Oper. Theory 10, 859--879 (1987; Zbl 0644.47017) Full Text: DOI