MATH 307 Lecture 10: Lecture 10Jan 27, 2020 12_03_03 PM
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Jan. it2020 continuefromlastexample y aix 1bix tax 117 _yi. 121 2 4 ah 132 3102 172 42. I 0 o o o l o a e o. 3x 2 2 i o 3 52 2 i o. 6 2 2 o o w z o o bill 2. O o o e o e e o 6 3 2 00 l. Pjare notcentered unstable thisisessentially due to the fact thatspline polynomials the wind s becomes. Ajcx xjptbjcx xd"t g x xp dj wecanfix this using polynomials ofthisfunction gj. Based onthisidea wecan constructnew polynomials pj as follows n l. Pj x ajlx yj 1 bj xlyj11 t cj 2j t djk ziti ft forunknowns. Xj11 xj 2 f bj31x bj xl xj11 xp i ajcxj1 1 bjcxj 5 0 cjcxj1 0 dj xj o. Pj xj aj xj yj 1 bj xj yj11 1cjxj ej t djcxj zj11 yj. Aj kj111 0 bjlxjtd i g xj111 0 dj xj113 0.
