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dc.contributor.advisorSalas-Olaguer, Héctor N.
dc.contributor.authorFuentes-Castilla, Luis R.
dc.date.accessioned2019-04-15T15:50:41Z
dc.date.available2019-04-15T15:50:41Z
dc.date.issued2008
dc.identifier.urihttps://hdl.handle.net/handle/20.500.11801/1969
dc.description.abstractEn 1931 Semion A. Gershgorin publicó un importante resultado en el algebra lineal que ahora es llamado “El Teorema de los Círculos de Gershgorin”. Este teorema establece que dada una matriz A = [ai,j ] ∈ Cn×n, sus autovalores se encuentran dentro de algún círculo centrado en un elemento ai,i de la diagonal de A y con radio la suma de los módulos de las restantes entradas de la fila i de A. En las décadas siguientes se dió una explosión de resultados relativos a regiones donde se encuentran los autovalores de una matriz A = [ai,j ] ∈ Cn×n , muchos de ellos debido a Richard S. Varga quien en el 2004 recopiló estos resultados y los publicó en su libro “Gershgorin and his Circles”. En esta disertación recopilaremos y extenderemos estos resultados a matrices particionadas por bloques. Así como también mostraremos algunos ejemplos de resultados que no se cumplen para matrices particionadas por bloques.en_US
dc.description.abstractIn 1931 Semion A. Gershgorin published an important result in linear algebra which was later called “Gershgorin’s Circles Theorem ”. This theorem establishes that if A is a Cn×n matrix, then its eigenvalues are in some circle with center on an element ai,i of the diagonal and with radius the sum of the absolute values of the remaining entries in the row i. In the following decades there occurred an explosion of results about eigenvalue inclusion regions of a matrix A = [ai,j ] ∈ Cn×n ; many of these results are due to Richard S. Varga who in 2004 compiled and published them in his book “Gershgorin and his Circles.” In this presentation we collect and extend some of these results to partitioned matrices.We also show examples of results that are not true for partitioned matrices.en_US
dc.language.isoSpanishen_US
dc.subjectTeorema de los círculos de Gershgorinen_US
dc.titleRegiones en el plano complejo tipo Gershgorinen_US
dc.typeThesisen_US
dc.rights.licenseAll rights reserveden_US
dc.rights.holder(c) 2008 Luis Ramón Fuentes-Castillaen_US
dc.contributor.committeeAcar, Robert
dc.contributor.committeeCastillo, Paul
dc.contributor.representativeCastellanos, Dorial
thesis.degree.levelM.S.en_US
thesis.degree.disciplinePure Mathematicsen_US
dc.contributor.collegeCollege of Arts and Sciences - Sciencesen_US
dc.contributor.departmentDepartment of Mathematicsen_US
dc.description.graduationYear2008en_US


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    Items included under this collection are theses, dissertations, and project reports submitted as a requirement for completing a degree at UPR-Mayagüez.

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