Carlos M. Saiago

 

Departamento de Matemática

Faculdade de Ciências e Tecnologia

Campus da Caparica

2829-516 Caparica

Portugal

Email: cls [at] fct <dot> unl <dot> pt

Phone number: +351 212 948 388

 

Assistant Professor at Faculdade de Ciências e Tecnologia da Universidade NOVA de Lisboa

Member of the Algebra and Logic Group of Centro de Matemática e Aplicações da Universidade NOVA de Lisboa (CMA/FCT/UNL)

Research interests: Linear Algebra

ORCID ID: 0000-0001-9843-3821

Scopus Author ID: 6506876273

 

Academic Degrees

 

PhD in Mathematics, Speciality of Algebra, Faculdade de Ciências e Tecnologia, Universidade NOVA de Lisboa (2004)

Master Degree in Actuarial Science (Mestrado em Actuariado e Gestão de Riscos Financeiros), Instituto Superior de Economia e Gestão, Universidade Técnica de Lisboa (1996).

Five Years Undergraduate Degree in Applied Mathematics, Speciality of Actuarial Science, Faculdade de Ciências e Tecnologia, Universidade NOVA de Lisboa, (1992) 

 

Publications

 

·       Papers in Refereed Journals

                     [1]           Charles R. Johnson, Carlos M. Saiago, and Kenji Toyonaga, The change in multiplicity of an eigenvalue due to adding or removing edges, Linear Algebra Appl. 560, 86-99 (2019).

                     [2]           Charles R. Johnson, António Leal-Duarte, Carlos M. Saiago, The minimum number of eigenvalues of multiplicity one in a diagonalizable matrix, over a field, whose graph is a tree , Linear Algebra Appl. 559, 1-10 (2018).

                     [3]           Charles R. Johnson, Carlos M. Saiago, and Kenji Toyonaga, Classification of vertices and edges with respect to the geometric multiplicity of an eigenvalue in a matrix, with a given graph, over a field, Linear Multilinear Algebra 66, No. 11, 2168-2182 (2018).

                     [4]           Charles R. Johnson, Carlos M. Saiago, Geometric Parter–Wiener, etc. theory, Linear Algebra Appl. 537, 332-347 (2018).

                     [5]           Charles R. Johnson, António Leal-Duarte, Carlos M. Saiago, The number of distinct eigenvalues for which an index decreases multiplicity, Linear Algebra Appl. 516, 8-23 (2017).

                     [6]           Shannon P. Buckley, Joseph G. Corliss, Charles R. Johnson, Cristina Araúz Lombardía, Carlos M. Saiago, Questions, conjectures, and data about multiplicity lists for trees, Linear Algebra Appl. 511, 72-109 (2016).

                     [7]           Charles R. Johnson, Carlos M. Saiago, Diameter minimal trees, Linear Multilinear Algebra 64, No. 3, 557-571 (2016).

                     [8]           Charles R. Johnson, António Leal-Duarte, Carlos M. Saiago, The change in eigenvalue multiplicity associated with perturbation of a diagonal entry, Linear Multilinear Algebra 60, No. 5, 525-532 (2012).

                     [9]           Charles R. Johnson, Carlos M. Saiago, Branch duplication for the construction of multiple eigenvalues in an Hermitian matrix whose graph is a tree, Linear Multilinear Algebra 56, No. 4, 357-380 (2008).

                  [10]           Charles R. Johnson, António Leal-Duarte, Carlos M. Saiago, The structure of matrices with a maximum multiplicity eigenvalue, Linear Algebra Appl. 429, No. 4, 875-886 (2008).

                  [11]           Charles R. Johnson, António Leal-Duarte, Carlos M. Saiago, David Sher, Eigenvalues, multiplicities and graphs, Algebra and Its Applications, Contemporary Mathematics 419, 167-183 (2006).

                  [12]           Charles R. Johnson, Carlos M. Saiago, The trees for which maximum multiplicity implies the simplicity of other eigenvalues, Discrete Math. 306, No. 23, 3130-3135 (2006).

                  [13]           Charles R. Johnson, António Leal-Duarte, Carlos M. Saiago, The Parter–Wiener theorem: Refinement and generalization, SIAM J. Matrix Anal. Appl. 25, No. 2, 352-361 (2003).

                  [14]           Charles R. Johnson, António Leal-Duarte, Carlos M. Saiago, Inverse eigenvalue problems and lists of multiplicities of eigenvalues for matrices whose graph is a tree: The case of generalized stars and double generalized stars, Linear Algebra Appl. 373, 311-330 (2003).

                  [15]           Charles R. Johnson, António Leal-Duarte, Carlos M. Saiago, Brian D. Sutton, Andrew J. Witt, On the relative position of multiple eigenvalues in the spectrum of an Hermitian matrix with a given graph, Linear Algebra Appl. 363, 147-159 (2003).

                  [16]           Charles R. Johnson, Carlos M. Saiago, Estimation of the maximum multiplicity of an eigenvalue in terms of the vertex degrees of the graph of a matrix, Electron. J. Linear Algebra 9, 27-31 (2002).

 

·       Book Chapter

Charles R. Johnson, António Leal-Duarte, Carlos M. Saiago. Multiplicity Lists for the Eigenvalues of Symmetric Matrices with a Given Graph. Chapter 34, CRC Handbook of Linear Algebra (HLA), pages 34_1--34_16. Editor: Leslie Hogben, CRC Press, Bacon Raton, Fl, 2007.

 

·       Books

o   Charles R. Johnson & Carlos M. Saiago. Eigenvalues, Multiplicities and Graphs, Cambridge Tracts in Mathematics, Cambridge University Press, 2018 (310 pages)

§  Hardback ISBN: 9781107095458

§  Online ISBN: 9781316155158, doi:10.1017/9781316155158

o   Isabel Cabral, Cecília Perdigão, Carlos Saiago, Álgebra Linear, 5ª Edição, Escolar Editora, 2018 (592 Páginas, com 2 capítulos adicionais) ISBN: 9789725925386

o   Isabel Cabral, Cecília Perdigão, Carlos Saiago, Álgebra Linear, 4ª Edição, Escolar Editora, 2014 (464 páginas) ISBN: 9789725924464

 

 

·       Thesis

o   Carlos M. Saiago, The Possible Multiplicities of the Eigenvalues of an Hermitian Matrix whose Graph is a Tree, PhD Thesis, Faculdade de Ciências e Tecnologia, Universidade NOVA de Lisboa, 2003 (Supervisor: Professor Doutor Charles R. Johnson).

o   Carlos M. Saiago, Incorporação do Resseguro “Excess of Loss” no Cálculo da Probabilidade de Ruína, Msc Thesis, Instituto Superior de Economia e Gestão, Universidade Técnica de Lisboa, 1995 (Supervisor: Professora Doutora Maria de Lourdes Centeno).

 

Teaching

 

·       Análise Matemática I

·       Álgebra Linear e Geometria Analítica

·       Análise Matricial

·       Matemática 0

·       Geometria

·       Álgebra Linear e Teoria das Matrizes

·       Grafos e Aplicações

·       Fundos de Pensões

·       Matemáticas Actuariais II

·       Matemáticas Actuariais I

·       Análise Matemática II

·       Introdução à Lógica e Álgebra de Boole