M5110 Matrix Theory

Faculty of Science
Autumn 2001
Extent and Intensity
2/1/0. 5 credit(s). Type of Completion: zk (examination).
prof. RNDr. Ladislav Skula, DrSc. (lecturer)
Mgr. Jiří Zelinka, Dr. (seminar tutor)
Guaranteed by
prof. RNDr. Ivanka Horová, CSc.
Department of Mathematics and Statistics - Departments - Faculty of Science
Contact Person: prof. RNDr. Ladislav Skula, DrSc.
Prerequisites (in Czech)
M2110 Linear algebra II
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
Various types of generalized inverses (generalized inverse, reflexive generalized inverse, Moore-Penrose inverse, generalized inverse of symmetric matrices, QR decomposition. Method of the least squares for a system of linear equations. The sym- metric problem of eigenvalues (decompositions, QR algorithm). Nonsymmetric problem of eigenvalues (properties and decompositions, Hessenberg and real Schur forms, power matrices). Lancz method. Matrix functions {Lagrange-Sylvester interpolation polynomial, the values of a function on the spectrum of a matrix, the fundamental formula for the value of function in a matrix, the matrix series, some formulas).
Language of instruction
Further Comments
The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 1999, Autumn 2000, Autumn 2003, Autumn 2005, Autumn 2007, Autumn 2009, Autumn 2011, Autumn 2013, Autumn 2015, autumn 2017.
  • Enrolment Statistics (Autumn 2001, recent)
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