Matvec Users’ Guide

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56 CHAPTER 9. MACRO PACKAGES Row 1 1 2 3 Row 2 2 3 0 Row 3 3 0 0 > hankel([1,2,3],[3,4,5]) Col 1 Col 2 Col 3 Row 1 1 2 3 Row 2 2 3 4 Row 3 3 4 5 9.3.4 vander vander(C) returns the Vandermonde matrix whose second to last column is C. The j-th column of a Vandermonde matrix is given by A(∗, j) = C ( n − j). For example, > package("special_matrix"); > vander([1,2,3]) Col 1 Col 2 Col 3 Row 1 1 1 1 Row 2 4 2 1 Row 3 9 3 1 9.3.5 hadamard hadamard(k) return the Hadamard matrix of order n = 2 k . not available 9.3.6 pascal pascal(n) returns the Pascal matrix of order n: a symmetric positive definite matrix with integer entries, made up from Pascal’s triangle. For example, > package("special_matrix"); > pascal(3) Col 1 Col 2 Col 3 Row 1 1 1 1 Row 2 1 2 3 Row 3 1 3 6 9.3.7 toeplitz toeplitz(C) returns a symmetric (or Hermitian) Toeplitz matrix; whereas toeplitz(C,R) returns a nonsymmetric Toeplitz matrix having C as its first column and R as its first row. For example, > package("special_matrix"); > toeplitz([1,2,3]) Col 1 Col 2 Col 3 Row 1 1 2 3 Row 2 2 1 2 Row 3 3 2 1
9.4. LINEAR PROGRAMMING PACKAGE 57 > toeplitz([1,2,3],[1,4,5]) Col 1 Col 2 Col 3 Row 1 1 4 5 Row 2 2 1 4 Row 3 3 2 1 9.4 Linear Programming Package not available yet
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Matvec Users’ Guide Version 1.03
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iv CONTENTS 3.3.1 Accessing element
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vi CONTENTS 10.7 Variance Component
Page 9 and 10:
Chapter 1 A Tour of Matvec 1.1 Runn
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1.5. GETTING ONLINE HELP 3 Example
Page 13 and 14: 1.8. VARIABLES, EXPRESSIONS, AND ST
Page 15 and 16: 1.9. INBREEDING COEFFICIENT COMPUTA
Page 17 and 18: Chapter 2 Working on Objects Matvec
Page 19 and 20: 2.4. MATRIX OBJECT 11 Another metho
Page 21 and 22: 2.7. DATA OBJECT 13 2.6.3 inbcoef P
Page 23 and 24: Chapter 3 Matrix Object Matrix comp
Page 25 and 26: 3.3. MANIPULATION 17 3.2.2 Relation
Page 27 and 28: 3.4. COMPUTATION 19 3.3.3 Selecting
Page 29 and 30: 3.4. COMPUTATION 21 This member fun
Page 31 and 32: 3.4. COMPUTATION 23 > A.fliplr() fl
Page 33 and 34: 3.4. COMPUTATION 25 max A.max() ret
Page 35 and 36: 3.4. COMPUTATION 27 reshape A.resha
Page 37 and 38: 3.4. COMPUTATION 29 sort If A is a
Page 39 and 40: 3.4. COMPUTATION 31 Col 1 Col 2 Col
Page 41 and 42: 3.5. SPECIAL MATRICES 33 Row 3 0 0
Page 43 and 44: Chapter 4 Program Flow Control The
Page 45 and 46: 4.3. WHILE STATEMENT 37 that all th
Page 47 and 48: Chapter 5 File Stream Control Matve
Page 49 and 50: Chapter 6 Time Control Though I do
Page 51 and 52: 6.2. WESTERN CALENDAR 43 6.2 Wester
Page 53 and 54: Chapter 7 User-Defined Function 7.1
Page 55 and 56: Chapter 8 2D/3D Object-Oriented Plo
Page 57 and 58: 8.3. EXAMPLES 49 Figure 8.1: The cu
Page 59 and 60: Chapter 9 Macro Packages A macro pa
Page 61 and 62: 9.1. DEMO PACKAGE 53 10: 2.20765 2.
Page 63: 9.3. SPECIAL MATRIX PACKAGE 55 i =
Page 67 and 68: Chapter 10 Linear Model Analyses 10
Page 69 and 70: 10.3. BEST LINEAR UNBIASED PREDICTI
Page 71 and 72: 10.3. BEST LINEAR UNBIASED PREDICTI
Page 73 and 74: 10.6. LEAST SQUARES MEANS (LSMEANS)
Page 75 and 76: 10.7. VARIANCE COMPONENTS ESTIMATIO
Page 77 and 78: Chapter 11 Generalized Linear Mixed
Page 79 and 80: 11.1. GENERALIZED LINEAR MODEL 71 T
Page 81 and 82: 11.1. GENERALIZED LINEAR MODEL 73 1
Page 83 and 84: 11.1. GENERALIZED LINEAR MODEL 75 T
Page 85 and 86: 11.1. GENERALIZED LINEAR MODEL 77 1
Page 87 and 88: 11.2. PENALIZED QUASI-LIKELIHOOD 79
Page 95 and 96: Chapter 12 Segregation and Linkage
Page 97 and 98: Chapter 13 Statistical Distribution
Page 99 and 100: 13.2. CONTINUOUS DISTRIBUTION 91 4.
Page 101 and 102: 13.2. CONTINUOUS DISTRIBUTION 93 Ex
Page 103 and 104: 13.2. CONTINUOUS DISTRIBUTION 95 13
Page 105 and 106: 13.2. CONTINUOUS DISTRIBUTION 97 Pr
Page 107 and 108: 13.2. CONTINUOUS DISTRIBUTION 99 Ex
Page 109 and 110: 13.2. CONTINUOUS DISTRIBUTION 101 M
Page 111 and 112: 13.3. DISCRETE DISTRIBUTION 103 Fig
Page 113 and 114: 13.3. DISCRETE DISTRIBUTION 105 Mat
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13.3. DISCRETE DISTRIBUTION 107 13.
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Chapter 14 Exception Exceptions in
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Chapter 15 Matvec C++ API 15.1 An O
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Index *, 16 *=, 16 +, 16 ++, 16 +=,
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INDEX 115 leapyear, 43 least-square
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INDEX 117 t distribution, 95 cdf, 9
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