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Interval package: Difference between revisions
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Interval vectors and matrices
(Interval vectors and matrices) |
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octave:17> infsup ("-42??u") | octave:17> infsup ("-42??u") | ||
ans = [-42, +Inf] | ans = [-42, +Inf] | ||
==== Interval vectors and matrices ==== | |||
Vectors and matrices of intervals can be created by passing numerical matrices, char vectors or cell arrays to the <code>infsup</code> constructor. With cell arrays it is also possible to mix several types of boundaries. | |||
octave:18> M = infsup (magic (3)) | |||
M = 3×3 interval matrix | |||
[8] [1] [6] | |||
[3] [5] [7] | |||
[4] [9] [2] | |||
octave:19> infsup (magic (3), magic (3) + 1) | |||
ans = 3×3 interval matrix | |||
[8, 9] [1, 2] [6, 7] | |||
[3, 4] [5, 6] [7, 8] | |||
[4, 5] [9, 10] [2, 3] | |||
octave:20> infsup (["0.1"; "0.2"; "0.3"; "0.4"; "0.5"]) | |||
ans ⊂ 5×1 interval vector | |||
[.09999999999999999, .10000000000000001] | |||
[.19999999999999998, .20000000000000002] | |||
[.29999999999999998, .30000000000000005] | |||
[.39999999999999996, .40000000000000003] | |||
[.5] | |||
octave:21> infsup ({1, eps; "4/7", "pi"}, {2, 1; "e", "0xff"}) | |||
ans ⊂ 2×2 interval matrix | |||
[1, 2] [2.220446049250313e-16, 1] | |||
[.5714285714285713, 2.7182818284590456] [3.1415926535897931, 255] | |||
When matrices are resized using subscripted assignment, any implicit new matrix elements will carry an empty interval. | |||
octave:22> M (4, 4) = 42 | |||
M = 4×4 interval matrix | |||
[8] [1] [6] [Empty] | |||
[3] [5] [7] [Empty] | |||
[4] [9] [2] [Empty] | |||
[Empty] [Empty] [Empty] [42] | |||
=== Decorations === | === Decorations === | ||