Analysis and Linear Algebra for Finance: Part II - eBooks and textbooks from bookboon.com

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Analysis and Linear Algebra for Finance: Part II

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Patrick Roger

Patrick ROGERLaRGE Research Center

EM Strasbourg Business SchoolUniversity of Strasbourg

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Analysis and Linear Algebra for Finance: Part II Contents

Contents

1 Vector spaces and linear mappings 7

2 Functions of several variables 73

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Contents

3 Optimization without constraints 113

4 Constrained optimization 137

4.2 Functions of p variables with m equality constraints 145

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Analysis and Linear Algebra for Finance: Part II Introduction

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Analysis and Linear Algebra for Finance: Part II Vector spaces and linear mappings

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Analysis and Linear Algebra for Finance: Part II Functions of several variables

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0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 0

0.5

1 1.5

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Analysis and Linear Algebra for Finance: Part II Optimization without constraints

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117

Optimization without constraints

-4 -2 0 2 4

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0 1 2 3 4 5 6 7

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119

Optimization without constraints

-5 -4 -3 -2 -1 0

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-8 -6 -4 -2 0 2 4 6 8

x

0 2 4 6 8 10 12 14 16

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STUDY AT A TOP RANKED INTERNATIONAL BUSINESS SCHOOL

Reach your full potential at the Stockholm School of Economics,

in one of the most innovative cities in the world The School

is ranked by the Financial Times as the number one business school in the Nordic and Baltic countries

Visit us at www.hhs.se

Swed

Stockholm

no.1

nine years

in a row

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0.5 1

x1 x2

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-5 0

5 -20

-10 0 10 20

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2 0 5 10

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