NM5_space - The Space of Equation Sets Reference Ayyub and...

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1 The “Space” of Equation Sets Reference Ayyub and McCuen Chapter 5
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2 Types of Equations There are three types of equation sets that can arise in engineering: Underdetermined Determined Overdetermined
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3 Underdetermined more unknowns than equations n<m Solution techniques Optimization
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4 Determined equal number of equations and unknowns n=m Solution techniques inverse Gauss Elimination LU decomposition
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5 Overdetermined more equations than unknowns n>m Solution Techniques least squares generalized inverse singular value decomposition
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6 The solution of sets of equations When faced with the challenge of solving sets of simultaneous equations, the first two questions to ask are: Does a solution exist? If a solution exists, is it unique?
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The solution continued When working with two equations and two unknowns, these concepts are easy to visualize and comprehend. However, they can lead to insight into the solution
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This note was uploaded on 10/13/2010 for the course MECH 342 taught by Professor Vemaganti during the Winter '05 term at University of Cincinnati.

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NM5_space - The Space of Equation Sets Reference Ayyub and...

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