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Bachelor thesis

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2019-06-20

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cc-by-nc-nd (c) Bertran Miquel Oliver, 2019
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/150857

Resolution of general linear systems: numerical methods and applications

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Abstract

[en] The Singular Value Decomposition and the complete orthogonal decomposition algorithms are two numerical methods based on orthogonal matrix transformations. Among other usages, both are used for least square approximately solving general linear systems. Not all the systems have a unique solution, but all the possible solutions can be found. Besides, in this project, these two methods are going to be compared each other and then see how apply them to nonlinear systems in a geodesic scope.

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Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2019, Director: Antoni Benseny

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Espais vectorials, Treballs de fi de grau, Equacions funcionals, Matrius (Matemàtica), Àlgebra lineal, Anàlisi numèrica

Subject (English)

Vector spaces, Bachelor's theses, Functional equations, Matrices, Linear algebra, Numerical analysis

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Treballs Finals de Grau (TFG) - Matemàtiques

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MIQUEL OLIVER, Bertran. Resolution of general linear systems: numerical methods and applications. [consulted: 6 of October of 2026]. Available at: https://hdl.handle.net/2445/150857

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