Carlos Tomei

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All published works

Action	Title	Year	Authors
+	Higher Dimensional Versions of Theorems of Euler and Fuss	2024	Peter C. Gibson Nicolau C. Saldanha Carlos Tomei
+ PDF Chat	Linearizing Toda and SVD flows on large phase spaces of matrices with real spectrum	2023	Ricardo S. Leite Nicolau C. Saldanha David Martínez Torres Carlos Tomei
+	Linearizing Toda and SVD flows on large phase spaces of matrices with real spectrum	2023	Ricardo S. Leite Nicolau C. Saldanha David Martínez Torres Carlos Tomei
+	Using the critical set to induce bifurcations	2023	O. Kaminski Diego Monteiro Carlos Tomei
+	The geometry of spectral interlacing	2022	Ricardo S. Leite Carlos Tomei
+	An Atlas Adapted to the Toda Flow	2022	David Martínez Torres Carlos Tomei
+	Higher dimensional versions of theorems of Euler and Fuss	2022	Peter Gibson Nicolau C. Saldanha Carlos Tomei
+ PDF Chat	Discrete line fields on surfaces	2021	Tiago Novello João Paixão Carlos Tomei Thomas Lewiner
+	The geometry of spectral interlacing	2021	Ricardo S. Leite Carlos Tomei
+	On the open Toda chain with external forcing	2020	Percy Deift Luen-Chau Li Herbert Spohn Carlos Tomei Thomas Trogdon
+ PDF Chat	Positive eigenvectors and simple nonlinear maps	2020	Marta Calanchi Carlos Tomei
+ PDF Chat	Directed graphs and interferometry	2020	Bruno Melo Igor Brandão Carlos Tomei Thiago Guerreiro
+	Discrete Line Fields on Surfaces	2020	Tiago Novello João Paixão Carlos Tomei Thomas Lewiner
+	On the open Toda chain with external forcing	2020	Percy Deift Luen-Chau Li Herbert Spohn Carlos Tomei Thomas Trogdon
+	Discrete Line Fields on Surfaces	2020	Tiago Novello João Paixão Carlos Tomei Thomas Lewiner
+	Teaching as an Indicator of Mathematical Practices	2019	Carlos Tomei
+	Eigenvectors from eigenvalues revisited	2019	Carlos Tomei
+ PDF Chat	Results of Ambrosetti–Prodi type for non-selfadjoint elliptic operators	2018	Boyan Sirakov Carlos Tomei André Zaccur
+	Cusps and a converse to the Ambrosetti-Prodi theorem	2017	Marta Calanchi Carlos Tomei André Zaccur
+	Discrete Gradient Line Fields on Surfaces	2017	Thomas Lewiner Tiago Novello João Paixão Carlos Tomei
+	Results of Ambrosetti-Prodi type for non-selfadjoint elliptic operators	2017	Boyan Sirakov Carlos Tomei André Zaccur
+	Global folds between Banach spaces as perturbations	2017	Marta Calanchi Carlos Tomei André Zaccur
+	Results of Ambrosetti-Prodi type for non-selfadjoint elliptic operators	2017	Boyan Sirakov Carlos Tomei André Zaccur
+	Discrete Gradient Line Fields on Surfaces	2017	Thomas Lewiner Tiago Novello João Paixão Carlos Tomei
+	The Toda lattice, old and new	2015	Carlos Tomei
+	Abundance of cusps and a converse to the Ambrosetti-Prodi theorem	2015	Marta Calanchi Carlos Tomei André Zaccur
+ PDF Chat	Fibers and global geometry of functions	2015	Marta Calanchi Carlos Tomei André Zaccur
+	Geometric Aspects of Ambrosetti-Prodi operators with Lipschitz nonlinearities	2015	Carlos Tomei André Zaccur
+	The Toda lattice, old and new	2015	Carlos Tomei
+	Abundance of cusps and a converse to the Ambrosetti-Prodi theorem	2015	Marta Calanchi Carlos Tomei André Zaccur
+	Fibers and global geometry of functions	2015	Marta Calanchi Carlos Tomei Andre Zaccur
+ PDF Chat	Geometric Aspects of Ambrosetti–Prodi Operators with Lipschitz Nonlinearities	2014	Carlos Tomei André Zaccur
+	Analysis and Topology in Nonlinear Differential Equations	2014	D.G. de Figueiredo João Marcos do Ó Carlos Tomei
+	Analysis and topology in nonlinear differential equations : a tribute to Bernhard Ruf on the occasion of his 60th birthday	2014	Djairo G. de Figueiredo João Marcos do Ó Carlos Tomei
+ PDF Chat	A Numerical Algorithm for Ambrosetti–Prodi Type Operators	2012	José Teixeira Cal Neto Carlos Tomei
+ PDF Chat	Dynamics of the Symmetric Eigenvalue Problem with Shift Strategies	2012	Ricardo S. Leite Nicolau C. Saldanha Carlos Tomei
+	Numerical analysis of semilinear elliptic equations with finite spectral interaction	2012	José Teixeira Cal Neto Carlos Tomei
+	The geometry of finite difference discretizations of semilinear elliptic operators	2012	Eduardo Teles Carlos Tomei
+	Numerical analysis of semilinear elliptic equations with finite spectral interaction	2011	José Cal Neto Carlos Tomei
+	Epiciclos e interpolação trigonométrica	2011	Carlos Tomei Humberto José Bortolossi Projeto Condigital Mec
+	Numerical analysis of semilinear elliptic equations with finite spectral interaction	2011	José Cal Neto Carlos Tomei
+	Spectral Transformation Algorithms for Computing Unstable Modes of Large Scale Power Systems	2010	Licio H. Bezerra Carlos Tomei
+ PDF Chat	Cut-and-paste of quadriculated disks and arithmetic properties of the adjacency matrix	2009	Nicolau C. Saldanha Carlos Tomei
+ PDF Chat	The Asymptotics of Wilkinson’s Shift: Loss of Cubic Convergence	2009	Ricardo S. Leite Nicolau C. Saldanha Carlos Tomei
+	Convergence rates to deflation of simple shift strategies	2009	Ricardo S. Leite Nicolau C. Saldanha Carlos Tomei
+ PDF Chat	The geometry of the critical set of nonlinear periodic Sturm–Liouville operators	2008	Dan Burghelea Nicolau C. Saldanha Carlos Tomei
+ PDF Chat	An atlas for tridiagonal isospectral manifolds	2008	Ricardo S. Leite Nicolau C. Saldanha Carlos Tomei
+	Ordinary differential equations and the symmetric eigenvalue problem	2008	Percy Deift T. Nanda Carlos Tomei
+	Arithmetic properties of the adjacency matrix of quadriculated disks	2008	Nicolau C. Saldanha Carlos Tomei
+	Correction of “Morin singularities and global geometry in a class of ordinary differential operators”	2008	Iaci Malta Nicolau C. Saldanha Carlos Tomei
+	Integrable systems and random matrices : in honor of Percy Deift : conference on integrable systems, random matrices, and applications in honor of Percy Deift's 60th birthday	2008	Jinho Baik Thomas Kriecherbauer Luen-Chau Li K. T-R McLaughlin Carlos Tomei Percy Deift
+	Morin singularities and global geometry in a class of ordinary differential operators	2007	Iaci Malta Nicolau C. Saldanha Carlos Tomei
+	New inverse data for tridiagonal matrices	2006	Ricardo S. Leite Nicolau C. Saldanha Carlos Tomei
+	The topology of the monodromy map of a second order ODE	2006	Dan Burghelea Nicolau C. Saldanha Carlos Tomei
+	The complete integrability of a Lie-Poisson system proposed by Bloch and Iserles	2006	L.-C. Li Carlos Tomei
+ PDF Chat	The Topology of Critical Sets of Some Ordinary Differential Operators	2005	Nicolau C. Saldanha Carlos Tomei
+	Reconstruction of tridiagonal matrices from spectral data	2005	Ricardo S. Leite Nicolau C. Saldanha Carlos Tomei
+	The complete integrability of a Lie-Poisson system proposed by Bloch and Iserles	2005	Carlos Tomei Luen-Chau Li
+	The topology of the monodromy map of the second order ODE	2005	Dan Burghelea Nicolau C. Saldanha Carlos Tomei
+	The topology of critical sets of some ordinary differential operators	2005	Nicolau C. Saldanha Carlos Tomei
+	The asymptotics of Wilkinson's shift iteration	2004	Ricardo S. Leite Nicolau C. Saldanha Carlos Tomei
+	Tilings of quadriculated annuli	2003	Nicolau C. Saldanha Carlos Tomei
+ PDF Chat	Results on infinite-dimensional topology and applications to the structure of the critical set of nonlinear Sturm–Liouville operators	2003	Dan Burghelea Nicolau C. Saldanha Carlos Tomei
+	Parameterization by polytopes of intersections of orbits by conjugation	2002	Ricardo S. Leite Carlos Tomei
+	Functions from R 2 to R 2 : a study in nonlinearity	2002	Nicolau C. Saldanha Carlos Tomei
+	Rouche goes real: why $z^7 + 5 \bar{z}^4 + z = 0$ has 17 solutions	2002	Nicolau C. Saldanha Carlos Tomei
+ PDF Chat	Critical sets of nonlinear Sturm-Liouville operators of Ambrosetti-Prodi type	2002	Hamilton Bueno Carlos Tomei
+	Slices of matrices - a scenario for spectral theory	2002	Ricardo S. Leite Carlos Tomei
+	The kernel of the adjacency matrix of a rectangular mesh	2002	Carlos Tomei Tania Vieira
+	Functions from $R^2$ to $R^2$: a study in nonlinearity	2002	Nicolau C. Saldanha Carlos Tomei
+	A special tiling of the rectangle	2001	Carlos Tomei Tania Vieira
+	Two results on tilings of quadriculated annuli	2001	Nicolau C. Saldanha Carlos Tomei
+	Results on infinite dimensional topology and applications to the structure of the critical set of nonlinear Sturm-Liouville operators	2001	Dan Burghelea Nicolau C. Saldanha Carlos Tomei
+	Parametrization by polytopes of intersections of orbits by conjugation	2001	Ricardo S. Leite Carlos Tomei
+	Arithmetic properties of the adjacency matrix of quadriculated disks	2001	Nicolau C. Saldanha Carlos Tomei
+	Tilings of quadriculated annuli	2000	Nicolau C. Saldanha Carlos Tomei
+	Tilings of quadriculated annuli	2000	Nicolau C. Saldanha Carlos Tomei
+	Geometric proofs of some theorems of Schur-Horn type	1999	Ricardo S. Leite T.R.W. Richa Carlos Tomei
+ PDF Chat	Spectra of semi-regular polytopes	1998	Nicolau C. Saldanha Carlos Tomei
+	An overview of domino and lozenge tilings	1998	Nicolau C. Saldanha Carlos Tomei
+	An overview of domino and lozenge tilings	1998	Nicolau C. Saldanha Carlos Tomei
+ PDF Chat	Moment maps on symplectic cones	1997	Suzana Falcão B. de Moraes Carlos Tomei
+ PDF Chat	Morin singularities and global geometry in a class of ordinary differential operators	1997	Iaci Malta Nicolau C. Saldanha Carlos Tomei
+	Regular Level Sets of Averages of Nemytskiı Operators Are Contractible	1997	Iaci Malta Nicolau C. Saldanha Carlos Tomei
+	Spectra of semi-regular polytopes	1997	Nicolau C. Saldanha Carlos Tomei
+	Critical sets of proper Whitney functions in the plane	1997	Iaci Malta Nicolau C. Saldanha Carlos Tomei
+	The accumulated distribution of quadratic forms on the sphere	1996	Nicolau C. Saldanha Carlos Tomei
+ PDF Chat	The numerical inversion of functions from the plane to the plane	1996	Iaci Malta Nicolau C. Saldanha Carlos Tomei
+	New methods for fast small-signal stability assessment of large scale power systems	1995	L.T.G. Lima Licio H. Bezerra Carlos Tomei N. Martins
+ PDF Chat	Spaces of domino tilings	1995	Nicolau C. Saldanha Carlos Tomei M. A. Casarin D. Romualdo
+	Symplectic Aspects of Some Eigenvalue Algorithms	1993	Percy Deift L.‐C. Li Carlos Tomei
+ PDF Chat	Spectra of regular polytopes	1992	Nicolau C. Saldanha Carlos Tomei
+	Loop groups, discrete versions of some classical integrable systems, and rank 2 extensions	1992	Percy Deift Luen-Chau Li Carlos Tomei
+	The billiard on an ellipsoid as an integrable system	1992	Percy Deift Luen-Chau Li Carlos Tomei
+	On the problem of solving F(x)=y in the plane	1992	Iaci Malta Nicolau C. Saldanha Carlos Tomei
+	Singularities of vector fields arising from one-dimensional Riemann problems	1991	Iaci Malta Carlos Tomei
+ PDF Chat	The Bidiagonal Singular Value Decomposition and Hamiltonian Mechanics	1991	Percy Deift James Demmel Luen-Chau Li Carlos Tomei
+	A Monotonicity Property for Toda-Type Flows	1991	Percy Deift Saul Rivera Carlos Tomei David S. Watkins
+	Dynamical Aspects of the Bidiagonal Singular Value Decomposition	1991	Percy Deift James Demmel Luen-Chau Li Carlos Tomei
+	Tetrahedral Decompositions of Hexahedral Meshes	1989	Derek Hacon Carlos Tomei
+	The Problem of the Calissons	1989	Guy David Carlos Tomei
+	Inverse scattering for self-adjoint nth order differential operators on the line	1987	Richard Beals Percy Deift Carlos Tomei
+ PDF Chat	The toda flow on a generic orbit is integrable	1986	Percy Deift L.‐C. Li T. Nanda Carlos Tomei
+	Toda flows with infinitely many variables	1985	Percy Deift L.-C. Li Carlos Tomei
+	The topology of isospectral manifolds of tridiagonal matrices	1984	Carlos Tomei
+ PDF Chat	The Toda flow on a generic orbit is integrable	1984	Percy Deift L. C. Li T. Nanda Carlos Tomei
+	Ordinary Differential Equations and the Symmetric Eigenvalue Problem	1983	Percy Deift T. Nanda Carlos Tomei
+	Inverse scattering and the boussinesq equation	1982	Percy Deift Carlos Tomei Eugene Trubowitz

Common Coauthors

Coauthor	Papers Together
Nicolau C. Saldanha	42
Percy Deift	16
Ricardo S. Leite	15
André Zaccur	10
Luen-Chau Li	8
Iaci Malta	8
Marta Calanchi	7
Dan Burghelea	5
Tiago Novello	5
João Paixão	5
Thomas Lewiner	5
T. Nanda	4
David Martínez Torres	3
Boyan Sirakov	3
Licio H. Bezerra	2
L.-C. Li	2
Herbert Spohn	2
L.-C. Li	2
James Demmel	2
Tania Vieira	2
José Cal Neto	2
José Teixeira Cal Neto	2
Thomas Trogdon	2
João Marcos do Ó	2
L.T.G. Lima	1
Djairo G. de Figueiredo	1
Richard Beals	1
Igor Brandão	1
Eduardo Teles	1
David S. Watkins	1
Diego Monteiro	1
Bruno Melo	1
Thiago Guerreiro	1
M. A. Casarin	1
Humberto José Bortolossi	1
Eugene Trubowitz	1
K. T-R McLaughlin	1
Suzana Falcão B. de Moraes	1
Hamilton Bueno	1
D. Romualdo	1
Thomas Kriecherbauer	1
L.C. Li	1
Guy David	1
Peter C. Gibson	1
T.R.W. Richa	1
Jinho Baik	1
Derek Hacon	1
Projeto Condigital Mec	1
Andre Zaccur	1
Saul Rivera	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Hamiltonian group actions and integrable systems	1980	William W. Symes	16
+	Ordinary Differential Equations and the Symmetric Eigenvalue Problem	1983	Percy Deift T. Nanda Carlos Tomei	15
+	The topology of isospectral manifolds of tridiagonal matrices	1984	Carlos Tomei	15
+ PDF Chat	On the inversion of some differentiable mappings with singularities between Banach spaces	1972	Antonio Ambrosetti G. A. Prodi	15
+ PDF Chat	Morin singularities and global geometry in a class of ordinary differential operators	1997	Iaci Malta Nicolau C. Saldanha Carlos Tomei	12
+	The Symmetric Eigenvalue Problem	1998	Beresford Ν. Parlett	11
+	Un'estensione della teoria variazionale classica degli autovalori per operatori ellittici del secondo ordine	1973	Alessandra Manes Micheletti Am	10
+	The solution to a generalized Toda lattice and representation theory	1979	Bertram Kostant	8
+	A convexity theorem for isospectral manifolds of Jacobi matrices in a compact Lie algebra	1990	Anthony M. Bloch H. Flaschka Tudor S. Raţiu	8
+	On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-devries type equations	1978	Mark Adler	7
+	Convexity and Commuting Hamiltonians	1982	Michael Atiyah	7
+ PDF Chat	Spaces of domino tilings	1995	Nicolau C. Saldanha Carlos Tomei M. A. Casarin D. Romualdo	6
+	Parameterization by polytopes of intersections of orbits by conjugation	2002	Ricardo S. Leite Carlos Tomei	6
+	Singularity Theory and Bifurcation Phenomena in Differential Equations	1997	Bernhard Ruf	6
+	The statistics of dimers on a lattice	1961	Piet Kasteleyn	6
+ PDF Chat	Nonlinear integral equations of the Hammerstein type	1949	C. L. Dolph	6
+ PDF Chat	Critical sets of nonlinear Sturm-Liouville operators of Ambrosetti-Prodi type	2002	Hamilton Bueno Carlos Tomei	6
+	<i>Theory of Ordinary Differential Equations</i>	1956	Earl A. Coddington Norman Levinson T. Teichmann	6
+ PDF Chat	The toda flow on a generic orbit is integrable	1986	Percy Deift L.‐C. Li T. Nanda Carlos Tomei	6
+ PDF Chat	An atlas for tridiagonal isospectral manifolds	2008	Ricardo S. Leite Nicolau C. Saldanha Carlos Tomei	6
+	The principal eigenvalue and maximum principle for second‐order elliptic operators in general domains	1994	Henri Berestycki Louis Nirenberg S. R. S. Varadhan	5
+ PDF Chat	Results on infinite-dimensional topology and applications to the structure of the critical set of nonlinear Sturm–Liouville operators	2003	Dan Burghelea Nicolau C. Saldanha Carlos Tomei	5
+	The asymptotics of Wilkinson's shift iteration	2004	Ricardo S. Leite Nicolau C. Saldanha Carlos Tomei	5
+	Inverse Spectral Theory	1987	Jürgen Pöschel Eugene Trubowitz	5
+ PDF Chat	The numerical inversion of functions from the plane to the plane	1996	Iaci Malta Nicolau C. Saldanha Carlos Tomei	5
+	Regular Level Sets of Averages of Nemytskiı Operators Are Contractible	1997	Iaci Malta Nicolau C. Saldanha Carlos Tomei	5
+	On Singularities of Mappings of Euclidean Spaces. I. Mappings of the Plane into the Plane	1955	Hassler Whitney	5
+	Convexity properties of the moment mapping. II	1984	Victor Guillemin S. Sternberg	5
+	On Singularities of Mappings of Euclidean Spaces. I. Mappings of the Plane Into the Plane	1992	Hassler Whitney	5
+	Integrals of nonlinear equations of evolution and solitary waves	1968	Peter D. Lax	5
+	On the number of solutions of a nonlinear Dirichlet problem	1981	A. C. Lazer P. J. McKenna	4
+	Alternating sign matrices and domino tilings	1992	Noam D. Elkies Greg Kuperberg Michael Larsen James Propp	4
+	A Monotonicity Property for Toda-Type Flows	1991	Percy Deift Saul Rivera Carlos Tomei David S. Watkins	4
+ PDF Chat	The Asymptotics of Wilkinson’s Shift: Loss of Cubic Convergence	2009	Ricardo S. Leite Nicolau C. Saldanha Carlos Tomei	4
+	The exact number of solutions for a class of ordinary differential equations through Morse Index computation	1992	David G. Costa Djairo G. de Figueiredo P. N. Srikanth	4
+ PDF Chat	Accurate Singular Values of Bidiagonal Matrices	1990	James Demmel W. Kahan	4
+	Numerical analysis of semilinear elliptic equations with finite spectral interaction	2012	José Teixeira Cal Neto Carlos Tomei	4
+ PDF Chat	Fluxes, Laplacians, and Kasteleyn’s theorem	1993	Élliott H. Lieb Michael Loss	4
+	Geometry of some simple nonlinear differential operators	1986	Huang Ke-an James C. Scovel	4
+	Convexity properties of the moment mapping	1982	Victor Guillemin S. Sternberg	4
+	Global Structure for Nonlinear Operators in Differential and Integral Equations I. Folds	1997	P. T. Church J. G. Timourian	3
+ PDF Chat	The structure of a nonlinear elliptic operator	1993	P. T. Church E. N. Dancer J. G. Timourian	3
+	Spectral distributions and isospectral sets of tridiagonal matrices	2002	Peter C. Gibson	3
+ PDF Chat	Geometric Aspects of Ambrosetti–Prodi Operators with Lipschitz Nonlinearities	2014	Carlos Tomei André Zaccur	3
+ PDF Chat	The Bidiagonal Singular Value Decomposition and Hamiltonian Mechanics	1991	Percy Deift James Demmel Luen-Chau Li Carlos Tomei	3
+ PDF Chat	Fibers and global geometry of functions	2015	Marta Calanchi Carlos Tomei André Zaccur	3
+ PDF Chat	Computer-assisted proofs for semilinear elliptic boundary value problems	2009	Michael Plum	3
+	Global fold maps in differential and integral equations	1992	P. T. Church J. G. Timourian	3
+	Le nombre de solutions de certains problèmes semi-linéaires elliptiques	1981	Henri Berestycki	3
+ PDF Chat	Numerical Continuation Methods--An Introduction.	1992	Layne T. Watson Eugene L. Allgower Kurt Georg	3