# Difference between revisions of "Majorization"

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− | A sequence <math>\displaystyle A=a_1,a_2,\cdots,a_n</math> is said to '''majorize''' a sequence <math>\displaystyle B=b_1,b_2,\cdots,b_n</math> [[if and only if]] all of the following are true: | + | A [[sequence]] <math>\displaystyle A=a_1,a_2,\cdots,a_n</math> is said to '''majorize''' a sequence <math>\displaystyle B=b_1,b_2,\cdots,b_n</math> [[if and only if]] all of the following are true: |

<math>\displaystyle a_1\geq b_1</math> | <math>\displaystyle a_1\geq b_1</math> |

## Revision as of 22:39, 25 June 2006

A sequence is said to **majorize** a sequence if and only if all of the following are true:

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