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Ricardo Lorenzo Soto Montero

Académico

Universidad Católica del Norte

Antofagasta, Chile

Linear Algebra; Numerical Linear Algebra; Matrix Theory; Nonnegative matrices; Nonnegative inverse eigenvalue problem; Nonnegative inverse elementary divisors problem; universal realizability problem.

Matemáticas, New Mexico State University. Estados Unidos, 1987

Académico Full Time

Universidad Católica del Norte

Ciencias

Antofagasta, Chile

1974 - A la fecha

Académico Full Time

Universidad Católica del Norte

Antofagasta, Chile

1974 - A la fecha

Dirección de Tesis de Postgrado (Magíster)
Terminadas:
1.- Alumno: Santiago Relos Pacos
Tesis: Localización de Autovalores de Omega Matrices. 1993.
2.- Alumno: Juan Egaña Arancibia.
Tesis: Sobre Problemas Inversos de Autovalor para Matrices. 1994.
3.- Alumno: Mario Salas García.
Tesis : Cotas para el Spread de Matrices. 1996.
4.- Alumno: María Torreblanca Todco
Tesis: Problema Inverso de Autovalor para Matrices Oscilatorias. 2001.
5.- Alumno: Ana María Cano García
Tesis: El problema inverso de autovalor para matrices no negativas. 2001.
6.- Alumno: Susana Arela Pérez
Tesis: Problema Inverso de Autovalor para Matrices Estocásticas. 2002
7.- Alumno: Javier Ccapa Cruz.
Tesis: Teoría de Brauer en el Problema Inverso de Autovalor para Matrices no Negativas. 2003.
8.- Alumno: Miriam Vásquez Chinguel
Tesis: Espectros realizables por matrices simétricas no negativas. 2005.
9.- Alumno: Juan Carlos Fernández Ramírez:
Tesis: Espectros de Matrices Doblemente Estocásticas. 2005.
10.- Alumno: Desanka Salinas Vucina
Tesis: Resultados de Hazel Perfect en el Problema Inverso de Autovalor para Matrices no Negativas. 2006.
11.- Alumno: Ana Julio Torres
Tesis: El rol de ciertos teoremas de Brauer en el problema inverso de autovalor para matrices no negativas. 2010.
12.- Alumno: Roberto Díaz Martínez
Tesis: Autovalores de matrices no negativas y simétricas no negativas. 2011.
13.- Alumno: Jaime Alfaro Hempeller
Tesis: Matrices no negativas con autovalores y entradas diagonales prescritas. 2016

Dirección de Tesis de Postgrado (Doctorado)
Terminadas:
1.- Alumno: Hubert Pickmann Soto
Tesis: Problemas inversos para clases de matrices simétricas con cierto tipo de información espectral. Agosto 2008.
2.- Alumno: Emedin Montaño Rojas
Tesis: El problema inverso de valores singulares. Perturbaciones y realización no negativa. Septiembre 2008.
3.- Alumno: Javier Ccapa Cruz
Tesis: Sobre el problema inverso de los divisores elementales para matrices no negativas. Mayo 2009.
4.- Alumna: Cristina Manzaneda Herrera
Tesis: Sobre el problema inverso de autovalores para matrices no negativas. Septiembre 2012.
5.- Alumno: Hans Nina Hooper
Tesis: Matrices no negativas y el problema inverso de los divisores elementales. 2014.
6.- Alumno: Elvis Valero Kari
Tesis: Matrices no negativas estructuradas con espectro y divisores elementales prescritos. 2014.
7.- Alumno: Roberto Díaz Martínez
Tesis: Nonnegative Inverse Elementary Divisors Problem and Spectral Perturbation. 2015.
8.- Alumna: Ana Julio Torres
Tesis: Structured inverse eigenvalue problem. Applications to Elementary Divisors. 2015.
9.- Alumno: Macarena Collao Morales
Tesis: Problema inverso de divisores elementales para matrices estructuradas. 2019.

En Ejecución:
10.- Alumno: Jaime Alfaro Hempeller
Tesis: Sobre realizabilidad universal de espectros y tópicos relacionados. 2019-.


Extension of Brauer and Rado perturbation theorems for regular matrix pencils Gonzalez-Pizarro, Javier; Salas, Mario Article ISI SCOPUS Physica Scripta (2023)
On new universal realizability criteria SOTO-MONTERO, RICARDO LORENZO Article ISI SCOPUS Special Matrices (2023)
Spectra universally realizable by doubly stochastic matrices (vol 6, pg 301, 2018) Collao, Macarena; Salas, Mario Article ISI SCOPUS Special Matrices (2023)
Spectra inhabiting the left half-plane that are universally realizable Article ISI Special Matrices (2022)
Centrosymmetric Universal Realizability Linares, Yankis Article ISI (2021)
On spectra realizable and diagonalizably realizable Arrieta, Luis E. Article ISI LINEAR ALGEBRA AND ITS APPLICATIONS (2021)
Permutative universal realizability Julio, Ana I.; Alfaro, Jaime H. Article ISI Special Matrices (2021)
Universal realizability in low dimension Article ISI ELECTRONIC JOURNAL OF LINEAR ALGEBRA (2021)
Nonnegative realizability with Jordan structure Johnson, C. R.; Julio, AI Article ISI SCOPUS LINEAR ALGEBRA AND ITS APPLICATIONS (2020)
On the universal realizability problem Julio, AI Article SCOPUS Linear Algebra and Its Applications (2020)
The role of certain Brauer and Rado results in the nonnegative inverse spectral problems Article ISI ELECTRONIC JOURNAL OF LINEAR ALGEBRA (2020)
BRAUER'S THEOREM AND NONNEGATIVE MATRICES WITH PRESCRIBED DIAGONAL ENTRIES Soto, RL Article ISI SCOPUS ELECTRONIC JOURNAL OF LINEAR ALGEBRA (2019)
Centrosymmetric nonnegative realization of spectra Julio, AI Article ISI SCOPUS LINEAR ALGEBRA AND ITS APPLICATIONS (2019)
Toeplitz nonnegative realization of spectra via companion matrices Article WOS-ESCI SCOPUS Special Matrices (2019)
Updating a map of sufficient conditions for the real nonnegative inverse eigenvalue problem Pisonero M. Article SCOPUS Special Matrices (2019)
Spectra universally realizable by doubly stochastic matrices Soto, RL Article WOS-ESCI SCOPUS Special Matrices (2018)
PERMUTATIVE NONNEGATIVE MATRICES WITH PRESCRIBED SPECTRUM Article ISI SCOPUS Electronic Journal of Linear Algebra (2017)
Nonnegative inverse elementary divisors problem in the left half plane Díaz, RC; Soto, RL Article ISI SCOPUS LINEAR & MULTILINEAR ALGEBRA (2016)
Numerical Reconstruction of Spring-Mass System from Two Nondisjoint Spectra Pickmann, H; Soto, RL Article ISI SCOPUS Mathematical Problems in Engineering (2015)
The Development of Linear Algebra Research in Chile Article IMAGE, The Bolletin of the International Linear Algebra Society (2014)
POSITIVE MATRICES WITH PRESCRIBED SINGULAR VALUES MONTAÑO, EMEDIN; Salas, Mario; Soto, Ricardo L. Article SCIELO SCOPUS Proyecciones (Antofagasta) - Revista de matemï¿½tica (2008)
On the comparison of some realizability criteria for the real nonnegative inverse eigenvalue problem Soto, R; Borobia, A; Moro, J Article ISI SCOPUS LINEAR ALGEBRA AND ITS APPLICATIONS (2005)
REALIZABILITY BY SYMMETRIC NONNEGATIVE MATRICES* Soto, Ricardo L. Article SCIELO Proyecciones (Antofagasta) - Revista de matemï¿½tica (2005)
The spectra of the adjacency matrix and Laplacian matrix for some balanced trees Rojo, O; Soto, R Article ISI SCOPUS LINEAR ALGEBRA AND ITS APPLICATIONS (2005)
Negativity compensation in the nonnegative inverse eigenvalue problem Borobia, A; Moro, J; Soto, R Article ISI SCOPUS LINEAR ALGEBRA AND ITS APPLICATIONS (2004)
A note on the construction of a positive oscillatory matrix with a prescribed spectrum Rojo, O; Soto, R; Egaña, J Article ISI SCOPUS COMPUTERS & MATHEMATICS WITH APPLICATIONS (2001)
Fast construction of a symmetric nonnegative matrix with a prescribed spectrum Rojo, O; Soto, R; Rojo, H Article ISI SCOPUS COMPUTERS & MATHEMATICS WITH APPLICATIONS (2001)
An always nontrivial upper bound for Laplacian graph eigenvalues Rojo, O; Soto, R; Rojo, H Article ISI SCOPUS LINEAR ALGEBRA AND ITS APPLICATIONS (2000)
Bounds for sums of eigenvalues and applications Rojo, O; Soto, R; Rojo, H Article ISI SCOPUS COMPUTERS & MATHEMATICS WITH APPLICATIONS (2000)
ON THE NUMERICAL RECONSTRUCTION OF A SPRING-MASS SYSTEM FROM ITS NATURAL FREQUENCIES EGAÑA, JUAN C.; Soto, Ricardo L. Article SCIELO SCOPUS Proyecciones (Antofagasta) - Revista de matemï¿½tica (2000)
Bounds for the spectral radius and the largest singular value Soto, Ricardo; Rojo, H Article Computer and Mathematics with Applications (1999)
On related bounds for the extreme eigenvalues Soto, Ricardo Lorenzo; Rojo, H Article COMPUTERS AND MATHEMATICS WITH APPLICATIONS (1999)
Observability of the Direct Product of Bilinear Control System on Lie Groups Soto, Ricardo Lorenzo Article COMPUTERS AND MATHEMATICS WITH APPLICATIONS (1998)
On the solution of a multiplicative inverse eigenvalue problem Soto, Ricardo Lorenzo Article PROYECCIONES (ANTOFAGASTA) (1996)
Perron Root Bounding for Nonnegative Persymmetric Matrices Soto, Ricardo Article COMPUTERS AND MATHEMATICS WITH APPLICATIONS (1996)
Localization of Eigenvalues in Elliptics Regions Soto, Ricardo; Rojo, Hector Article COMPUTERS AND MATHEMATICS WITH APPLICATIONS (1995)
A Decreasing Sequence of Eigenvalue Localization Regions Soto, Ricardo; Rojo, Hector Article LINEAR ALGEBRA AND ITS APPLICATIONS (1994)
New Eigenvalue Estimates for Complex Matrices Soto, Ricardo Article COMPUTERS AND MATHEMATICS WITH APPLICATIONS (1993)
Eigenvalue Localization for Complex Matrices Soto, Ricardo; Rojo, Hector; Tin Yau Tamv Article PROYECCIONES (ANTOFAGASTA) (1992)
New Conditions for the Additive Inverse Eiegenvalue Problem Article COMPUTERS AND MATHEMATICS WITH APPLICATIONS (1992)
Condiciones para el Problema Inverso Aditivo de Autovalor Article PROYECCIONES (ANTOFAGASTA) (1990)
A Numerical Reconstruction of a Jacobi Matrix from Spectral Data Soto, Ricardo Lorenzo Article Tamkang Journal of Mathematicas (1989)


Capítulo 4: Nonnegative Inverse Elementary Divisors Problem BookSection (2016)
Capítulo 5: Nonnegative Inverse Eigenvalue Problem Soto, Ricardo L. BookSection (2012)