Matrix Computations and Applications, 7.5 credits
The course is discontinued
Computational Science and Engineering: Second cycle, has only first-cycle course/s as entry requirements
Contents
The aim of the course is to acquire knowledge and understanding of matrix computations in different application areas, which in turn requires deeper studies in theory, methods, algorithms, and software for different matrix computational problems. Examples include, matrix factorizations, iterative methods for solving linear systems and eigenvalue problems and how they are used in applications like information retrieval on the Internet, computer graphics, simulation, signal processing and various engineering applications. Computer laboratory tasks are important for acquiring skills and increased understanding.
Required Knowledge
Univ: To be admitted you must have 60 ECTS-credits in Computing Science or 2 years of completed studies, in both cases including the courses Calculus in One Variable 1 (5MA009), Calculus in One Variable 2 (5MA011), Linear Algebra (5MA019), a basic course in programming methodology (e.g. 5DV104, 5DV105, 5DV106, or 5DV114), and Scientific Computing (5DV005)/Introductory Numerical Methods (5DV040)/Scientific Computing I (5DV116) or equivalent. English proficiency equivalent to English A from Swedish Upper secondary education. (IELTS (Academic) with minimum score 5.5 and no individual score below 5.0. TOEFL (Paper based with minimum score 530 and minimum TWE 4). TOEFL (Internet based with minimum score 72 and minimum Written 17)). Basic entrance requirements for higher studies in Swedish language proficiency is also required if the course is taught in Swedish.
Literature
Strang Gilbert
Introduction to linear algebra
4. ed. :
Wellesley, MA. :
Wellesley-Cambridge Press :
cop. 2009 :
x, 574 s. :
ISBN: 978-0-9802327-2-1 (Int. ed.)
Mandatory
Search the University Library catalogue
The PageRank Citation Ranking: Bringing Order to the Web
Brin Sergey, Page Lawrence, Motwani Rajeev, Winograd Terry
Stanford InfoLab :
1999 :
Artikelns hemsida
Mandatory
Matrices, Vector Spaces, and Information Retrieval
Berry Michael W., Drmač Zlatko, Jessup Elizabeth R.
SIAM Review , Vol. 41, No. 2 (Jun., 1999), pp. 335-362 :
1999 :
Artikelns hemsida
Mandatory
A Survey of Eigenvector Methods for Web Information Retrieval
Langville Amy, Meyer Carl
SIAM Rev., 47(1), 135–161. (27 pages) :
2005 :
Mandatory
Wallace Gregory K.
The JPEG still picture compression standard
Communications of the ACM, Pages 30-44 :
1991 :
Artikelns hemsida
Mandatory
Digital image processing
Gonzalez Rafael C., Woods Richard E.
[New ed.] :
Upper Saddle River, N.J. :
Prentice Hall :
cop. 2002 :
xx, 793 s. :
http://www.imageprocessingbook.com/ z Bokens hemsida
ISBN: 0-201-18075-8
Search the University Library catalogue
Hamilton Eric
JPEG File Interchange Format, Version 1.02
C-Cube Microsystems(?) :
1992 :
Artikelns hemsida
Strang Gilbert
Introduction to linear algebra
4. ed. :
Wellesley, MA. :
Wellesley-Cambridge Press :
cop. 2009 :
x, 574 s. :
ISBN: 978-0-9802327-2-1 (Int. ed.)
Mandatory
Search the University Library catalogue
The PageRank Citation Ranking: Bringing Order to the Web
Brin Sergey, Page Lawrence, Motwani Rajeev, Winograd Terry
Stanford InfoLab :
1999 :
Artikelns hemsida
Mandatory
Matrices, Vector Spaces, and Information Retrieval
Berry Michael W., Drmač Zlatko, Jessup Elizabeth R.
SIAM Review , Vol. 41, No. 2 (Jun., 1999), pp. 335-362 :
1999 :
Artikelns hemsida
Mandatory
A Survey of Eigenvector Methods for Web Information Retrieval
Langville Amy, Meyer Carl
SIAM Rev., 47(1), 135–161. (27 pages) :
2005 :
Mandatory
Wallace Gregory K.
The JPEG still picture compression standard
Communications of the ACM, Pages 30-44 :
1991 :
Artikelns hemsida
Mandatory
Digital image processing
Gonzalez Rafael C., Woods Richard E.
[New ed.] :
Upper Saddle River, N.J. :
Prentice Hall :
cop. 2002 :
xx, 793 s. :
http://www.imageprocessingbook.com/ z Bokens hemsida
ISBN: 0-201-18075-8
Search the University Library catalogue
Hamilton Eric
JPEG File Interchange Format, Version 1.02
C-Cube Microsystems(?) :
1992 :
Artikelns hemsida
Strang Gilbert
Introduction to linear algebra
4. ed. :
Wellesley, MA. :
Wellesley-Cambridge Press :
cop. 2009 :
x, 574 s. :
ISBN: 978-0-9802327-2-1 (Int. ed.)
Mandatory
Search the University Library catalogue
Strang Gilbert
Introduction to linear algebra
3. ed. :
Wellesley, Mass. :
Wellesley-Cambridge Press :
2003 :
viii, 568 s. :
ISBN: 0-9614088-9-8 (inb.)
Search the University Library catalogue