Citations (51)
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Pamela Gorkin. (2019) Four Theorems with Their Foci on Ellipses. The American Mathematical Monthly 126:2, pages 99-111.
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Hwa-Long Gau, Kuo-Zhong Wang & Pei Yuan Wu. (2016) Circular numerical ranges of partial isometries. Linear and Multilinear Algebra 64:1, pages 14-35.
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Hwa-Long Gau, Kuo-Zhong Wang & Pei Yuan Wu. (2015) Numerical radii for tensor products of matrices. Linear and Multilinear Algebra 63:10, pages 1916-1936.
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Boris Mirman. (2009) Poncelet's porism in the finite real plane. Linear and Multilinear Algebra 57:5, pages 439-458.
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Hwa-Long Gau & Pei Yuan Wu
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Mao-Ting Chien & Hiroshi Nakazato
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Hari Bercovici. (2002) Numerical Ranges of Operators of Class C0
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Pei Yuan Wu. (2000) Polygons and Numerical Ranges. The American Mathematical Monthly 107:6, pages 528-540.
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Hwa-long Gau & Pei yuan Wu. (1999) Lucas' theorem refined
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Hwa-Long Gau & Pei Yuan Wu. (1998) Dilation to inflations of s(φ). Linear and Multilinear Algebra 45:2-3, pages 109-123.
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Articles from other publishers (40)
Maria F. Gamal'László Kérchy. (2024) Rigidity of the numerical range of truncated shifts with isolated singularity on the unit circle. Journal of Mathematical Analysis and Applications 534:1, pages 128042.
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Pamela Gorkin & Elodie Pozzi. 2024. Recent Progress in Function Theory and Operator Theory. Recent Progress in Function Theory and Operator Theory
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Swastika Saha Mondal, Sarita Ojha & Riddhick Birbonshi. (2023) Flat portions of the numerical range of a $$6 \times 6$$ companion matrix. Banach Journal of Mathematical Analysis 17:3.
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Asuman Aksoy, Francesca Arici, M. Celorrio & Pamela Gorkin. (2023) Decomposable Blaschke products of degree 2ⁿ. Transactions of the American Mathematical Society.
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Pei Yuan Wu & Hwa-Long Gau. 2023. Matrix and Operator Equations and Applications. Matrix and Operator Equations and Applications
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Pei Yuan Wu & Hwa-Long Gau. (2022) Which set is the numerical range of an operator?. Acta Scientiarum Mathematicarum 88:1-2, pages 527-545.
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Markus Hunziker, Andrei Martínez-Finkelshtein, Taylor Poe & Brian Simanek. (2022) Poncelet–Darboux, Kippenhahn, and Szegő: Interactions between projective geometry, matrices and orthogonal polynomials. Journal of Mathematical Analysis and Applications 511:1, pages 126049.
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Gregory Adams & Pamela Gorkin. (2021) Curves of geodesic centers and Poncelet ellipses. Journal of Functional Analysis 281:8, pages 109110.
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Leonid V. Kovalev & Xuerui Yang. (2021) Extreme values of the derivative of Blaschke products and hypergeometric polynomials. Bulletin des Sciences Mathématiques 169, pages 102979.
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Elias Wegert & Ilya Spitkovsky. (2021) On partial isometries with circular numerical range. Concrete Operators 8:1, pages 176-186.
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Markus Hunziker, Andrei Martinez-Finkelshtein, Taylor Poe & Brian Simanek. 2021. From Operator Theory to Orthogonal Polynomials, Combinatorics, and Number Theory. From Operator Theory to Orthogonal Polynomials, Combinatorics, and Number Theory
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László Kérchy. (2020) Numerical ranges of model operators and Clark measures. Journal of Mathematical Analysis and Applications 491:1, pages 124281.
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Kelly Bickel, Pamela Gorkin, Anne Greenbaum, Thomas Ransford, Felix L. Schwenninger & Elias Wegert. (2020) Crouzeix’s Conjecture and Related Problems. Computational Methods and Function Theory 20:3-4, pages 701-728.
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Mao-Ting Chien, Hiroshi Nakazato & Jie Meng. (2019) The diameter and width of numerical ranges. Linear Algebra and its Applications 582, pages 76-98.
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Pamela Gorkin & Jonathan R. Partington. (2019) Norms of Truncated Toeplitz Operators and Numerical Radii of Restricted Shifts. Computational Methods and Function Theory 19:3, pages 487-508.
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Andrei Martínez–Finkelshtein, Brian Simanek & Barry Simon. (2019) Poncelet's theorem, paraorthogonal polynomials and the numerical range of compressed multiplication operators. Advances in Mathematics 349, pages 992-1035.
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Hwa-Long Gau & Yueh-Hua Lu. (2019) Extremality of numerical radii of tensor products of matrices. Linear Algebra and its Applications 565, pages 82-98.
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Peng-Ruei Huang & Hiroshi Nakazato. (2018) Product of two diagonal entries of a 3-by-3 normal matrix. Linear Algebra and its Applications 544, pages 115-140.
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Mao-Ting Chien & Hiroshi Nakazato. (2018) Unitary similarity of the determinantal representation of unitary bordering matrices. Linear Algebra and its Applications 541, pages 13-35.
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Stephan Ramon Garcia, Javad Mashreghi & William T. RossStephan Ramon Garcia, Javad Mashreghi & William T. Ross. 2018. Finite Blaschke Products and Their Connections. Finite Blaschke Products and Their Connections
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Mao-Ting Chien & Hiroshi Nakazato. (2017) Reducibility of the ternary forms of unitary bordering matrices. Linear Algebra and its Applications 527, pages 73-86.
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László Kérchy. (2017) Uniqueness of the numerical range of truncated shifts. Acta Scientiarum Mathematicarum 83:1-2, pages 243-261.
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Ulrich Daepp, Pamela Gorkin, Andrew Shaffer & Karl Voss. (2017) Möbius transformations and Blaschke products: The geometric connection. Linear Algebra and its Applications 516, pages 186-211.
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Mao-Ting Chien & Hiroshi Nakazato. (2017) Singular points of the algebraic curves associated to unitary bordering matrices. Linear Algebra and its Applications 513, pages 224-239.
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Mao-Ting Chien & Hiroshi Nakazato. (2015) A new Poncelet curve for the boundary generating curve of a numerical range. Linear Algebra and its Applications 487, pages 1-21.
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Hari Bercovici & Dan Timotin. (2014) The numerical range of a contraction with finite defect numbers. Journal of Mathematical Analysis and Applications 417:1, pages 42-56.
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Hwa-Long Gau & Pei Yuan Wu. (2013) Numerical ranges of KMS matrices. Acta Scientiarum Mathematicarum 79:3-4, pages 583-610.
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Boris Mirman. (2012) Explicit solutions to Poncelet’s porism. Linear Algebra and its Applications 436:9, pages 3531-3552.
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Chafiq Benhida, Pamela Gorkin & Dan Timotin. (2010) Numerical Ranges of C 0(N) Contractions. Integral Equations and Operator Theory 70:2, pages 265-279.
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Boris Mirman. (2010) Short cycles of Poncelet’s conics. Linear Algebra and its Applications 432:10, pages 2543-2564.
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Ulrich Daepp, Pamela Gorkin & Karl Voss. (2010) Poncelet's theorem, Sendov's conjecture, and Blaschke products. Journal of Mathematical Analysis and Applications 365:1, pages 93-102.
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Hwa-Long Gau. (2010) Numerical ranges of reducible companion matrices. Linear Algebra and its Applications 432:5, pages 1310-1321.
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Hwa-Long Gau & Pei Yuan Wu. (2007) Numerical ranges of companion matrices. Linear Algebra and its Applications 421:2-3, pages 202-218.
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Boris Mirman & Pradeep Shukla. (2005) A characterization of complex plane Poncelet curves. Linear Algebra and its Applications 408, pages 86-119.
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Hwa-Long Gau & Pei Yuan Wu. (2004) Numerical range of a normal compression II. Linear Algebra and its Applications 390, pages 121-136.
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Hwa-Long Gau & Pei Yuan Wu. (2004) Numerical range circumscribed by two polygons. Linear Algebra and its Applications 382, pages 155-170.
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Hwa-Long Gau & Pei Yuan Wu. (2003) Condition for the numerical range to contain an elliptic disc. Linear Algebra and its Applications 364, pages 213-222.
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Boris Mirman. (2003) UB-matrices and conditions for Poncelet polygon to be closed. Linear Algebra and its Applications 360, pages 123-150.
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Boris Mirman, Vladimir Borovikov, Lev Ladyzhensky & Robert Vinograd. (2001) Numerical ranges, Poncelet curves, invariant measures. Linear Algebra and its Applications 329:1-3, pages 61-75.
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