CMV matrices: Five years after

Barry Simon

Type: Article

Publication Date: 2006-11-29

Citations: 157

DOI: https://doi.org/10.1016/j.cam.2006.10.033

View Publication

Locations

Journal of Computational and Applied Mathematics - View
arXiv (Cornell University) - View - PDF
CiteSeer X (The Pennsylvania State University) - View - PDF

Similar Works

Action	Title	Year	Authors
+	CMV matrices: Five years after	2006	Barry Simon
+ PDF Chat	CMV matrices in random matrix theory and integrable systems: a survey	2006	Irina Nenciu
+ PDF Chat	Reflectionless CMV Matrices and Scattering Theory	2015	Sherry Chu Benjamin Landon Jane Panangaden
+	CMV block matrices for symmetric matrix measures on the unit circle	2019	Edinson Fuentes Luis E. Garza
+	Review: Common Cyclic Vectors for Unitary Operators	2010	Stephan Ramon Garcia
+ PDF Chat	CMV: The unitary analogue of Jacobi matrices	2006	Rowan Killip Irina Nenciu
+	Hermitian and symmetric matrices	1985	Roger A. Horn Charles R. Johnson
+ PDF Chat	CMV Matrices and Little and Big −1 Jacobi Polynomials	2012	Maxim Derevyagin Luc Vinet Alexei Zhedanov
+ PDF Chat	A SUPPLEMENTARY MEMOIR ON THE THEORY OF MATRICES	2009	Arthur Cayley
+	CMV matrices and little and big -1 Jacobi polynomials	2011	Maxim Derevyagin Luc Vinet Alexei Zhedanov
+	CMV matrices and little and big -1 Jacobi polynomials	2011	Maxim Derevyagin Luc Vinet Alexei Zhedanov
+	CMV: the unitary analogue of Jacobi matrices	2005	Rowan Killip Irina Nenciu
+	A formula related to CMV matrices and Szegő cocycles	2018	Fengpeng Wang
+	A formula related to CMV matrices and Szego cocycles	2018	Fengpeng Wang
+	INFINITE VAN DER MONDE MATRICES	1995
+	Pauli matrices, rotations, and unitary operators	2009	E. Desurvire
+	None	2005	Luen-Chau Li
+	Unitary Matrix	2014
+	Trace Formulas and a Borg-type Theorem for CMV Operators with Matrix-valued Coefficients	2008	Maxim Zinchenko
+	Cantor spectrum of CMV matrices, Jacobi matrices and Schrodinger operators with dynamically defined coefficients and potentials	2020	Hyunkyu Jun

Works That Cite This (140)

Action	Title	Year	Authors
+	Darboux transformations for CMV matrices	2016	Maŕıa José Cantero Francisco Marcellán Leandro del Moral Ituarte L. Velázquez
+ PDF Chat	Wall Rational Functions and Khrushchev’s Formula for Orthogonal Rational Functions	2009	Olav Njåstad L. Velázquez
+	A formula related to CMV matrices and Szegő cocycles	2018	Fengpeng Wang
+	Anderson localization for quasi-periodic CMV matrices and quantum walks	2018	Fengpeng Wang David Damanik
+ PDF Chat	Orthogonal polynomials, Toda lattices and Painlevé equations	2022	Walter Van Assche
+	Index	2020	Mourad E. H. Ismail Walter Van Assche
+ PDF Chat	Essential Closures and AC Spectra for Reflectionless CMV, Jacobi, and Schrödinger Operators Revisited	2008	Fritz Gesztesy Konstantin A. Makarov Maxim Zinchenko
+ PDF Chat	Weak convergence of CD kernels and applications	2009	Barry Simon
+ PDF Chat	Orthogonal Laurent polynomials on the unit circle and snake-shaped matrix factorizations	2008	Ruymán Cruz‐Barroso Steven Delvaux
+	Solutions of matrix NLS systems and their discretizations: a unified treatment	2010	Aristophanes Dimakis Folkert Müller-Hoissen

Works Cited by This (66)

Action	Title	Year	Authors
+	Inverse Problem for Polynomials Orthogonal on the Unit Circle	1998	Jeffrey S. Geronimo Randal Johnson
+ PDF Chat	Zur Theorie der quadratischen und bilinearen Formen von unendlichvielen Veränderlichen	1911	Otto Toeplitz
+	Representations of Finite and Compact Groups	1995	Barry Simon
+	Introduction to the theory of linear nonselfadjoint operators	1969	M. Г. Крейн Israel Gohberg
+	Constructing a Unitary Hessenberg Matrix from Spectral Data	1991	Gregory Ammar William B. Gragg Lothar Reichel
+	Methods of Modern Mathematical Physics	1972	Michael C. Reed Barry Simon
+	Trace Ideals and Their Applications	2010	Barry Simon
+ PDF Chat	Schur flows for orthogonal Hessenberg matrices	1995	Gregory S. Ammar William B. Gragg
+	None	2005	Luen-Chau Li
+	Orthogonal Polynomials on the Unit Circle	2005	Barry Simon