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Student[NumericalAnalysis][DividedDifferenceTable] - compute the divided difference table
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Calling Sequence
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DividedDifferenceTable(p)
DividedDifferenceTable(p, pt)
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Parameters
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p
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a POLYINTERP structure
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pt
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(optional) numeric; a point to evaluate the divided difference table
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Description
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The DividedDifferenceTable command takes an interpolation structure and computes the associated divided difference table.
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This command can only be used on interpolation structures that were computed with Hermite or Newton methods.
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Examples
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![with(Student[NumericalAnalysis])](/support/helpjp/helpview.aspx?si=4058/file05071/math75.png)
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![xy := [[1.0, .7651977], [1.3, .6200860], [1.6, .4554022], [1.9, .2818186]]](/support/helpjp/helpview.aspx?si=4058/file05071/math79.png)
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![xy := [[1.0, .7651977], [1.3, .6200860], [1.6, .4554022], [1.9, .2818186]]](/support/helpjp/helpview.aspx?si=4058/file05071/math82.png)
| (1) |
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![Matrix([[.7651977, 0, 0, 0], [.6200860, -.4837056667, 0, 0], [.4554022, -.5489460000, -.1087338888, 0], [.2818186, -.5786120000, -0.4944333333e-1, 0.6587839497e-1]])](/support/helpjp/helpview.aspx?si=4058/file05071/math93.png)
| (2) |
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![p1a := AddPoint(p1, [1.8, .3920223])](/support/helpjp/helpview.aspx?si=4058/file05071/math97.png)
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![Matrix([[.7651977, 0, 0, 0, 0], [.6200860, -.4837056667, 0, 0, 0], [.4554022, -.5489460000, -.1087338888, 0, 0], [.2818186, -.5786120000, -0.4944333333e-1, 0.6587839497e-1, 0], [.3920223, -1.102037000, -2.617125000, -5.135363334, -6.501552161]])](/support/helpjp/helpview.aspx?si=4058/file05071/math104.png)
| (3) |
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![xyyp := [[1, 1.105170918, .2210341836], [1.5, 1.252322716, .3756968148], [2, 1.491824698, .5967298792]]](/support/helpjp/helpview.aspx?si=4058/file05071/math108.png)
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![xyyp := [[1, 1.105170918, .2210341836], [1.5, 1.252322716, .3756968148], [2, 1.491824698, .5967298792]]](/support/helpjp/helpview.aspx?si=4058/file05071/math111.png)
| (4) |
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![Matrix([[1.1052, 0, 0, 0, 0, 0], [1.1052, .22103, 0, 0, 0, 0], [1.2523, .29420, .14634, 0, 0, 0], [1.2523, .37570, .16300, 0.33320e-1, 0, 0], [1.4918, .47900, .20660, 0.43600e-1, 0.10280e-1, 0], [1.4918, .59673, .23546, 0.57720e-1, 0.14120e-1, 0.38400e-2]])](/support/helpjp/helpview.aspx?si=4058/file05071/math122.png)
| (5) |
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