Entry Liu:1997:OAE from tog.bib
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BibTeX entry
@Article{Liu:1997:OAE,
author = "Wayne Liu and Stephen Mann",
title = "An Optimal Algorithm for Expanding the Composition of
Polynomials",
journal = j-TOG,
volume = "16",
number = "2",
pages = "155--178",
month = apr,
year = "1997",
CODEN = "ATGRDF",
ISSN = "0730-0301",
bibdate = "Mon May 26 09:24:06 MDT 1997",
bibsource = "http://www.acm.org/pubs/toc/",
URL = "http://www.acm.org/pubs/citations/journals/tog/1997-16-2/p155-liu/",
abstract = "A runtime analysis is made of a previously published
algorithm for polynomial composition. The relationship
between this composition algorithm and
Sablonni{\`e}re's algorithm is explored. This
composition algorithm is then made optimal aby first
performing a change of basis.",
acknowledgement = ack-nhfb,
keywords = "algorithms; design; performance",
subject = "{\bf I.3.5}: Computing Methodologies, COMPUTER
GRAPHICS, Computational Geometry and Object Modeling,
Curve, surface, solid, and object representations. {\bf
F.2.1}: Theory of Computation, ANALYSIS OF ALGORITHMS
AND PROBLEM COMPLEXITY, Numerical Algorithms and
Problems, Computations on polynomials. {\bf J.6}:
Computer Applications, COMPUTER-AIDED ENGINEERING,
Computer-aided design (CAD).",
}
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15(1)72,
17(3)143,
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18(3)213,
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19(3)204,
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5(1)1,
6(1)19,
6(1)29,
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13(3)277,
14(2)134,
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17(4)259,
18(1)35
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13(3)209,
13(3)256,
26(3)107,
27(3)57,
27(5)134,
27(5)151
- COMPUTER-AIDED,
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4(4)291,
5(1)1,
6(3)238,
6(4)274,
7(1)1,
7(1)42,
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7(3)198,
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6(4)274,
7(1)1,
7(1)42,
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8(1)25,
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8(2)100,
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8(4)263,
8(4)325,
8(4)335,
8(4)360,
9(1)41,
9(2)147,
9(2)160,
9(2)170,
9(2)212,
9(3)301,
10(1)71,
10(3)297,
10(3)312,
10(4)378,
11(1)12,
11(2)140,
11(2)152,
12(1)56,
12(2)113,
12(3)209,
12(4)305,
13(1)3,
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13(4)400,
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16(1)34,
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18(1)35,
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19(1)27,
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7(3)180,
7(3)198,
8(1)25,
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8(4)263,
8(4)325,
8(4)335,
8(4)360,
9(1)28,
9(1)133,
9(2)147,
9(2)160,
9(2)212,
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10(1)71,
10(2)111,
10(2)201,
10(3)213,
10(3)297,
10(3)312,
10(4)366,
10(4)378,
11(1)12,
11(2)140,
11(2)152,
12(1)56,
12(2)113,
12(3)209,
12(4)277,
12(4)305,
12(4)327,
13(1)3,
13(1)43,
13(3)209,
13(3)277,
13(4)400,
14(2)103,
14(3)266,
15(3)211,
15(4)265,
16(1)34,
16(1)74,
16(2)179,
16(3)319,
17(4)259,
18(1)35
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19(4)246,
27(5)114,
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11(1)12,
20(3)151,
26(2)11
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14(3)266,
16(1)34,
16(1)74,
16(2)179,
16(3)319,
17(4)259,
18(1)35,
18(4)329,
19(1)27,
19(1)56
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10(2)152,
14(1)77,
14(2)162,
15(1)37,
15(3)211,
19(2)79,
19(4)279,
20(1)10,
20(3)169,
26(2)9,
26(3)6,
26(3)42,
26(3)73,
27(3)43,
27(3)71,
27(3)88,
27(3)99,
27(5)110,
27(5)163,
28(3)28,
28(3)51,
28(3)73
- Mann, Stephen,
12(2)113
- numerical,
7(2)83,
8(4)298,
8(4)325,
8(4)360,
9(2)212,
9(4)424,
10(3)255,
10(4)342,
11(1)61,
12(3)233,
12(4)327,
13(1)73,
13(2)103,
13(3)277,
14(2)134,
15(1)1,
16(1)34,
16(3)260,
16(3)319,
17(1)1,
17(3)143,
17(3)158,
17(3)177,
18(2)195,
18(3)213,
18(4)316,
19(1)27,
19(1)56,
19(2)79,
19(4)279,
20(4)232,
22(3)908,
26(1)4,
26(3)13,
26(3)14,
26(3)78,
27(3)66,
27(4)104,
27(5)166,
28(2)16,
28(2)17,
28(3)38,
28(3)51,
28(4)101
- optimal,
6(1)19,
11(4)348,
12(4)305,
13(2)103,
13(4)313,
15(3)249,
16(2)109,
16(3)260,
17(4)209,
19(2)122,
26(1)5,
26(3)6,
26(3)7,
26(3)8,
26(3)10,
26(3)21,
26(3)22,
26(3)45,
26(3)62,
26(3)63,
26(3)65,
26(3)80,
26(3)93,
26(3)106,
27(1)1,
27(3)15,
27(3)22,
27(3)55,
27(5)118,
27(5)127,
27(5)131,
27(5)147,
28(2)16,
28(3)23,
28(3)53,
28(3)60,
28(3)82
- performing,
3(3)223,
7(1)76,
9(1)28,
26(2)7,
26(3)88,
26(3)94,
26(4)18,
27(1)9,
27(5)121,
27(5)124,
27(5)159,
28(3)26,
28(3)45,
28(3)47
- polynomial,
2(1)1,
6(1)1,
6(2)81,
7(1)1,
7(2)83,
8(1)41,
8(2)89,
8(2)100,
8(3)147,
8(3)164,
8(3)174,
8(3)235,
8(3)243,
8(4)298,
8(4)325,
8(4)335,
8(4)360,
9(1)41,
9(2)198,
9(2)212,
9(3)301,
9(4)424,
10(2)152,
10(3)297,
10(4)342,
11(1)61,
11(2)140,
12(2)113,
12(4)327,
13(1)3,
13(1)73,
13(2)156,
13(3)240,
14(1)21,
14(2)134,
14(2)162,
14(2)171,
16(1)34,
16(3)277,
16(3)319,
17(1)1,
17(3)143,
17(4)209,
19(1)27,
19(1)56,
19(4)279,
20(1)1,
27(2)13,
27(5)121,
27(5)165,
28(2)13,
28(2)17
- previously,
10(2)182,
13(3)240,
14(3)203,
15(3)179,
16(1)74,
16(4)359,
17(1)1,
20(3)169,
26(1)6,
26(3)59,
27(5)127,
27(5)164,
28(3)22
- PROBLEM,
2(4)237,
4(1)12,
4(4)276,
5(1)1,
6(1)19,
6(1)29,
7(1)1,
8(1)51,
8(4)325,
8(4)360,
9(1)66,
9(2)170,
11(1)1,
11(1)12,
11(1)61,
12(3)233,
12(4)305,
12(4)327,
13(1)43,
13(1)73,
13(3)277,
14(2)134,
15(4)301,
15(4)354,
16(3)319,
17(1)1,
17(4)259,
18(1)35
- published,
2(2)109,
16(1)74,
16(2)109,
28(3)73
- relationship,
9(1)1,
11(1)12,
11(1)40,
13(4)400,
14(1)58,
18(1)35,
26(3)27,
27(3)27,
27(3)61,
27(5)121,
28(3)89
- runtime,
27(2)13,
27(3)27,
27(3)36,
27(4)105,
27(5)135,
27(5)144,
27(5)163,
27(5)165,
28(1)11,
28(3)39
- then,
3(1)52,
4(4)291,
7(3)151,
10(2)111,
10(2)152,
10(2)182,
11(2)103,
11(3)201,
11(3)228,
12(2)113,
12(4)277,
13(1)3,
13(3)277,
13(4)337,
14(1)58,
14(3)203,
15(3)249,
16(1)3,
16(2)179,
16(3)217,
16(3)260,
18(3)213,
18(3)257,
19(2)79,
20(3)169,
20(4)232,
21(1)52,
26(3)8,
26(3)12,
26(3)30,
26(3)33,
26(3)44,
26(3)51,
26(3)57,
26(3)70,
26(3)74,
26(3)76,
26(3)81,
26(3)83,
26(3)84,
26(3)94,
27(1)1,
27(1)5,
27(2)11,
27(3)15,
27(3)17,
27(3)29,
27(3)31,
27(3)36,
27(3)38,
27(3)42,
27(3)44,
27(3)50,
27(3)54,
27(3)73,
27(3)79,
27(3)92,
27(3)94,
27(3)96,
27(3)99,
27(3)100,
27(5)109,
27(5)111,
27(5)114,
27(5)123,
27(5)124,
27(5)128,
27(5)138,
27(5)145,
27(5)152,
27(5)159,
27(5)161,
27(5)163,
28(1)4,
28(1)6,
28(1)11,
28(2)18,
28(3)21,
28(3)35,
28(3)39,
28(3)44,
28(3)53,
28(3)55,
28(3)61,
28(3)68,
28(3)76,
28(3)77,
28(3)81,
28(3)89,
28(3)91,
28(3)96,
28(4)102,
28(4)104