Matrices, Graphs and Convexity
Faculteit | Economie en Bedrijfskunde |
Jaar | 2021/22 |
Vakcode | EBB073A05 |
Vaknaam | Matrices, Graphs and Convexity |
Niveau(s) | bachelor, uitwisseling |
Voertaal | Engels |
Periode | semester I a |
ECTS | 5 |
Rooster | rooster |
Uitgebreide vaknaam | Matrices, Graphs and Convexity | ||||||||||||||||
Leerdoelen | Upon completion of the course the student is able to: 1. Compute the Kronecker product, a Singular Value Decomposition, all left/right/generalized inverses and the Moore-Penrose inverse. 2. Check, prove and apply certain properties of (un)directed graphs. 3. Check and prove that a non-negative matrix is irreducible/primitive. 4. Check and prove that a set is convex and determine its extreme points. 5. Check and prove that a function is (quasi-)convex. 6. Compute all supporting/separating hyper-planes of convex sets. |
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Omschrijving | The students will acquire knowledge and skills of mathematical methods used in econometrics and operations research. Topics: Kronecker product, singular value decomposition, one-sided inverses and generalized inverses of matrices, (un)directed graphs, irreducible non-negative matrices, convex sets, convex and quasi-convex functions, supporting hyper-planes of a convex set and separating hyper-planes of two convex sets. | ||||||||||||||||
Uren per week | 4 | ||||||||||||||||
Onderwijsvorm |
-hoorcollege , -werkcollege
(lectures, practices) |
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Toetsvorm | -schriftelijk tentamen (open vragen) | ||||||||||||||||
Vaksoort | bachelor | ||||||||||||||||
Coördinator | dr. W. Romeijnders | ||||||||||||||||
Docent(en) | dr. W. Romeijnders , student-assistants , L.M. van der Heide | ||||||||||||||||
Verplichte literatuur |
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Entreevoorwaarden | The contents of: Mathematics I for EOR, Mathematics II for EOR, Multivariate Calculus, Linear algebra for EOR | ||||||||||||||||
Opmerkingen | Info: Dr Ward Romeijnders, phone: +3150 36 38613. Secr: Operations, phone: +3150 36 37491, e-mail: secr.operations.feb@rug.nl. |
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Opgenomen in |
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