Man

Ricardo Lorenzo Soto Montero

Académico

Universidad Católica del Norte

Antofagasta, Chile

Líneas de Investigación


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

Educación

  •  Matemáticas, New Mexico State University. Estados Unidos, 1987

Experiencia Académica

  •   Académico Full Time

    Universidad Católica del Norte

    Ciencias

    Antofagasta, Chile

    1974 - A la fecha

Experiencia Profesional

  •   Académico Full Time

    Universidad Católica del Norte

    Antofagasta, Chile

    1974 - A la fecha

Formación de Capital Humano


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-.



 

Article (79)

Spectra inhabiting the left half-plane that are universally realizable
Centrosymmetric Universal Realizability
On spectra realizable and diagonalizably realizable
Permutative universal realizability
Universal realizability in low dimension
Nonnegative realizability with Jordan structure
On the universal realizability problem
The role of certain Brauer and Rado results in the nonnegative inverse spectral problems
BRAUER'S THEOREM AND NONNEGATIVE MATRICES WITH PRESCRIBED DIAGONAL ENTRIES
Centrosymmetric nonnegative realization of spectra
Extreme Spectra Realization by Nonsymmetric Tridiagonal and Nonsymmetric Arrow Matrices
On universal realizability of spectra
Toeplitz nonnegative realization of spectra via companion matrices
Updating a map of sufficient conditions for the real nonnegative inverse eigenvalue problem
On nonnegative matrices with prescribed eigenvalues and diagonal entries
Spectra universally realizable by doubly stochastic matrices
Universal realizability of spectra with two positive eigenvalues
A map of sufficient conditions for the symmetric nonnegative inverse eigenvalue problem
M-matrices with prescribed elementary divisors
On the A?-spectra of trees
PERMUTATIVE NONNEGATIVE MATRICES WITH PRESCRIBED SPECTRUM
Nonnegative inverse elementary divisors problem in the left half plane
Nonnegative generalized doubly stochastic matrices with prescribed elementary divisors
Nonnegative persymmetric matrices with prescribed elementary divisors
Normal nonnegative realization of spectra
Normal nonnegative realization of spectra
Numerical Reconstruction of Spring-Mass System from Two Nondisjoint Spectra
Persymmetric and bisymmetric nonnegative inverse eigenvalue problem
Persymmetric and bisymmetric nonnegative inverse eigenvalue problem
The Development of Linear Algebra Research in Chile
A family of realizability criteria for the real and symmetric nonnegative inverse eigenvalue problem
A NEW UPPER BOUND ON THE LARGEST NORMALIZED LAPLACIAN EIGENVALUE
Nonnegative matrices with prescribed spectrum and elementary divisors
The Jordan canonical form for a class of weighted directed graphs
A Brauer's theorem and related results
EXTREME SPECTRA REALIZATION BY REAL SYMMETRIC TRIDIAGONAL AND REAL SYMMETRIC ARROW MATRICES
ON NONNEGATIVE REALIZATION OF PARTITIONED SPECTRA
NONNEGATIVE REALIZATION OF COMPLEX SPECTRA
On elementary divisors perturbation of nonnegative matrices
Guo perturbation for symmetric nonnegative circulant matrices
Nonnegativity Preservation under Singular Values Perturbation
ON SPECTRA PERTURBATION AND ELEMENTARY DIVISORS OF POSITIVE MATRICES
TWO INVERSE EIGENPROBLEMS FOR SYMMETRIC DOUBLY ARROW MATRICES
A unified view on compensation criteria in the real nonnegative inverse eigenvalue problem
Nonnegative matrices with prescribed elementary divisors
Nonnegative matrices with prescribed extremal singular values
POSITIVE MATRICES WITH PRESCRIBED SINGULAR VALUES
A map of sufficient conditions for the real nonnegative inverse eigenvalue problem
An inverse eigenvalue problem for symmetrical tridiagonal matrices
Extremal inverse eigenvalue problem for bordered diagonal matrices
Symmetric nonnegative realization of spectra
Applications of a Brauer theorem in the nonnegative inverse eigenvalue problem
Realizability criterion for the symmetric nonnegative inverse eigenvalue problem
On the comparison of some realizability criteria for the real nonnegative inverse eigenvalue problem
REALIZABILITY BY SYMMETRIC NONNEGATIVE MATRICES*
The spectra of the adjacency matrix and Laplacian matrix for some balanced trees
An inverse eigenvalue procedure for damage detection in rods
Negativity compensation in the nonnegative inverse eigenvalue problem
Existence and construction of nonnegative matrices with complex spectrum
Existence and construction of nonnegative matrices with prescribed spectrum
The inverse spectrum problem for positive generalized stochastic matrices
A note on the construction of a positive oscillatory matrix with a prescribed spectrum
A sufficient condition for the existence of an M-matrix with prescribed spectrum
Fast construction of a symmetric nonnegative matrix with a prescribed spectrum
An always nontrivial upper bound for Laplacian graph eigenvalues
Bounds for sums of eigenvalues and applications
ON THE NUMERICAL RECONSTRUCTION OF A SPRING-MASS SYSTEM FROM ITS NATURAL FREQUENCIES
Bounds for the spectral radius and the largest singular value
On related bounds for the extreme eigenvalues
Observability of the Direct Product of Bilinear Control System on Lie Groups
On the solution of a multiplicative inverse eigenvalue problem
Perron Root Bounding for Nonnegative Persymmetric Matrices
Localization of Eigenvalues in Elliptics Regions
A Decreasing Sequence of Eigenvalue Localization Regions
New Eigenvalue Estimates for Complex Matrices
Eigenvalue Localization for Complex Matrices
New Conditions for the Additive Inverse Eiegenvalue Problem
Condiciones para el Problema Inverso Aditivo de Autovalor
A Numerical Reconstruction of a Jacobi Matrix from Spectral Data

BookSection (2)

Capítulo 4: Nonnegative Inverse Elementary Divisors Problem
Capítulo 5: Nonnegative Inverse Eigenvalue Problem

Proyecto (16)

Structured Nonnegative inverse elementary divisors problem
INVERSE ELEMENTARY DIVISORS PROBLEM FOR NONNEGATIVE MATRICES
GRAPH EIGENVALUES, ORDERING TREES AND GRAPH ENERGIES
NONNEGATIVE REALIZATION OF SPECTRA AND RELATED TOPICS
EIGENVALUES OF GRAPHS AND NONNEGATIVE INVERSE EIGENVALUE PROBLEMS
REALIZABILITY CRITERIA AND NEGATIVITY COMPENSATION IN THE NONNEGATIVE INVERSE SPECTRUM PROBLEM
REALIZABILITY CRITERIA AND NEGATIVITY COMPENSATION IN THE NONNEGATIVE INVERSE SPECTRUM PROBLEM
SOME STRUCTURED INVERSE EIGENVALUE PROBLEMS AND LAPLACIAN GRAPH EIGENVALUES
MATRIX INVERSE EIGENVALUE PROBLEMS APPLIED TO STRUCTURAL DAMAGE DETECTION PROBLEMS.
INVERSE EIGENVALUE PROBLEMS FOR NONNEGATIVE MATRICES.
COTAS PARA EL NUMERO DE CONDICION Y ESCALAMIENTO DE UNA MATRIZ.
MATRIX INVERSE E IGENVALUE PROBLEMS APPLIED TO DISCRETE INVERSE PROBLEMS IN VIBRATION
MATRIX INVERSE EOGENVALUE PROBLEMS APPLIED TO DISCRETE INVERSE PROBLEMS IN VIBRATION.
COTAS PARA VALORES SINGULARES DE MATRICES
LOCALIZACION DE AUTOVALORES DE MATRICES Y CONSTRUCCION DE OBSERVADORES
PROBLEMAS INVERSOS DE AUTOVALOR PARA MATRICES
41
Ricardo Soto

Académico

Matemáticas

Universidad Católica del Norte

Antofagasta, Chile

5
Oscar Rojo

UNIVERSIDAD CATÓLICA DEL NORTE

Antofagasta, Chile