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The Least Squares Approximation is a examples-intensive concept. However, it can be solved using the following concise formulas:
 +
 
 +
for system
 +
:,
 +
:,
 +
which is equivalent to
 +
:.
 +
 
 +
 
 +
'''NOTE:'''
 +
 
 +
Thorough examples are available in the [[MA265]] textbook, Webassign problems, and Past Exam Archive. Most problems only deal with linear and parabolic fits.
  
  

Revision as of 08:05, 8 December 2010

The Least Squares Solution



The Least Squares Approximation is a examples-intensive concept. However, it can be solved using the following concise formulas:

for system

,
,

which is equivalent to

.


NOTE:

Thorough examples are available in the MA265 textbook, Webassign problems, and Past Exam Archive. Most problems only deal with linear and parabolic fits.


Ryan Jason Tedjasukmana


Back to Inner Product Spaces and Orthogonal Complements

Back to MA265 Fall 2010 Prof Walther

Back to MA265

Alumni Liaison

Ph.D. 2007, working on developing cool imaging technologies for digital cameras, camera phones, and video surveillance cameras.

Buyue Zhang