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. , or . 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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