numan_C0

# numan_C0 - MT 3802 NUMERICAL ANALYSIS 2008/2009 Dr Clare E...

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Unformatted text preview: MT 3802 NUMERICAL ANALYSIS 2008/2009 Dr Clare E Parnell and Dr St´ ephane R´ egnier October 1, 2008 Chapter 0 Handout 0.1 Notation Throughout this course we will be using scalars, vectors and matrices. It is essential that you know what they are and can tell the difference between them!! • Scalar: e.g. α , β or γ . Scalars belong to a field F such as R or C . • Vectors: e.g. x or f ( x ). The first vector belongs to a Vector Space (defined later) such as R n , C n and is of the form x = ( x i , x 2 , . . . , x n ). The second vector is a continuous function such as the polynomial x 2 + x and belongs to a vector space such as C (-∞ , ∞ ). In the lectures, vectors will be denoted by: x- i.e. a small letter with a wiggly line under and in the online lecture notes by x- i.e. a bold small letter . • Matrices: e.g. A or B . An n × n matrix has the form A = a 11 a 12 . . . a 1 n a 21 a 22 . . . . . . . . . . . . . . . . . . a n 1 . . . . . . a nn . In the lectures, a matrix will be denoted by: A- a capital letter with a straight line under 1 and in the online lecture notes by...
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numan_C0 - MT 3802 NUMERICAL ANALYSIS 2008/2009 Dr Clare E...

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