MA398 Matrix Analysis and Algorithms

Lecturer: Björn Stinner
Office hours: Wed 10-12 room C2.30
Lectures: in Term 1 (29/09/2008 - 6/12/2008, wks 1-10)
Mon 3-4 room MS.B3.03
Thu 4-5 room MS.B3.03
Fri 1-2 room MS.05
Support Class: in Term 2 (wks 20-24)
Mon 09/02/2009, 2-3 room MA.B1.01
Mon 16/02/2009, 2-3 room MA.B1.01
Mon 23/02/2009, 2-3 room MA.B0.13 (changed!)
Mon 02/03/2009, 2-3 room MA.B0.13 (changed!)
Mon 09/03/2009 (no class!)


Lecture Notes: The course will be based on the lecture notes written by J. Voß in collaboration with A.M. Stuart.
Printouts of the lecture notes are available in the general office.
An improved version of the proof on the Schur factorisation can be found here.
Summary of the lectured material.

Exercises: Solutions to the numbered exercises proposed during the lectures are provided below in form of jpg-files if not contained in the lecture notes.
Ex 1(A) and 2(A) page 1 page 2
Ex 3(B) page 1
Ex 4(B) page 1
Ex 5(A) page 1
Ex 6(B) page 1
Ex 7(A) page 1
Ex 8(B) see lecture notes, proof of Lemma 2.5
Ex 9(B) see lecture notes, proof of Lemma 2.8
Ex 10(B) page 1
Ex 11(A) see lecture notes, proofs of Theorems 2.15 and 2.16
Ex 12(B) see lecture notes, proof of Theorem 2.23
Ex 13(A) page 1
Ex 14(B) page 1
Ex 15(A) page 1
Ex 16(A) see lecture notes, proof of Lemma 5.3
Ex 17(B) page 1
Ex 18(A) page 1
Ex 19(B) see lecture notes, proof of Lemma 5.8
Ex 20(A) page 1
Ex 21(B) page 1
Ex 22(A) page 1
Ex 23(B) page 1
Ex 24(A) page 1
Ex 25(B) see lecture notes, proof of Th. 6.4
Ex 26(C) page 1 page 2
Ex 27(B) page 1
Ex 28(B) page 1
Ex 29(A) page 1
Ex 30(A) page 1
Ex 31(C) page 1 page 2
Ex 32(B) page 1 page 2
Ex 33(B) page 1
Ex 34(B) page 1
Ex 35(A) see lecture notes, after Algorithm LSQ via SVD in Sec. 7.2
Ex 36(A) page 1

Exam: Additional exercises on each chapter including solutions will be added from time to time and serve to prepare for the written exam.
Please, report misprints and errors (even if they turn out to be no error)!
Additional exercises can be found in the lecture notes.
Chap 1 exercises solutions
Chap 2 exercises solutions
Chap 3 exercises solutions
Chap 4 exercises solutions
Chap 5 exercises solutions
Chap 6 exercises solutions
Chap 7 exercises solutions
Chap 8 exercises solutions

BSt