ILLIAC AUXILIARY PROGRAM LIBRARY INDEX** Sep 8, 1961 LABEL SERIAL TITLE B2 50 Complex Number Operations (54) (DOI or SADOI) CO1 110 Post Mortem for Fractions and their Locations (63) (Bootstrap) D3 35 Sequence Checking Routine (30) (SADOI Only) E1 40 Integration for f(x) Given at Equal Increments of x (45) (SADOI or DOI) E6 221 Integration over a Single Interval (Tabulated Values) (32) (SADOI or DOI) E7 253 Simultaneous Integration by Simpson's Rule (49) (DOI or SADOI) E8 307 Integration by Weddle's Rule (30) E9 308 Closed (Newton-clodes) and open (Steffensen) Quadrature (Numerical Integration for tabulated function values) 15+N(Closed Quadrature) 13+N(Open Quadrature) E10 310 Evaluation of Exponentially Weighted Semi-Infinite Integrals by Quadrature (Laguerre Quadrature) (12+2N) E11 311 Evaluation of Exponentially Weighted Infinite Integrals by Quadra- ture (Hermite Quadrature) (18+2N) EA1 257 Floating Point Simpson's Rule Integration (41) (SADOI Only) HF1 111 Zero of a Solution of a Differential Equation (16) (SADOI or DOI) K4 171 Analysis and Intercorrelation of Scores Based on Paired Comparisons (Entire Program) (DOI Only) K7 188 Interative Estimation of Communalities. Principle Axes Method of Factor Analysis (Complete Program) K11 192 Quartimax Orthogonal Rotation of Factors (Complete Program) (DOI Only) KA1 123 Polynomial Approximation (60) M2 118 Automatic Inversion of a Symetric Matrix (Entire Program) M3 117 Automatic Eigenvalue-Eigenvector Program (Entire Program) (DOI Only) M7 150 Principal Axes Factor Analysis (Entire Program) (DOI Only) M8 151 Sums of Squares of Rows and Columns (Entire Program) (DOI Only) M9 152 Square Root Factorization (See Description) M10 153 Estimation of Communalities by the Method of Maximum Likelihood (Entire Program) M16 187 Matrix Multiplication when the Common Dimension is Large (Complete Program) M29 295 Drum Routine for Linear Programming by the Simplex Method (Complete Floating Point Program) (DOI or SADOI) M30 296 William's Memory Routine for Linear Programming by the Simplex Method-Modified for a Variable Resource b (Complete Floating Point Program) (SADOI or DOI) i M31 297 Drum Routine for Linear Programming by the Simplex Method-Modified for Variable Resource b (Complete Floating Point Program) (SADOI or DOI) i M32 298 William's Memory Routine for Linear Programming by the Simplex Method-Modified for Variable C (Complete Floating Point Program) j M33 299 Drum Routine for Linear Programming by the Simplex Method-Modified for Variable C (Complete Floating Program) j M35 319 Symmetric Matrix Inversion (Closed with 3 preset parameters) N4 131 Input a Sequence of Integers (17) (SADOI or DOI) N9 196 Matrix Modifying Input (43+26 words of N-2) (SADOI or DOI) N10 205 Input a Sequence of Integers with Sum Check (26) (SADOI or DOI) P1 75 Print one Number Fractional or Integer in a Manner Determined by a Program Parameter (28) P7 125 Letter Printing (32) P8 54 Tape Lettering (110) (SADOI Only) P9 28 Decimal Order Print Routine (23) (SADOI or DOI) P11 148 Rounded or Unrounded Print (18) (SADOI or DOI) P20 265 Data Plotter Output Converter (Complete Program) (SADOI Only) P21 268 Data Plotter Output Converter II (Complete Program) P22 327 Mixed Number Output (20 + 56 words of P16) (DOI or SADOI) Q1 81 Logical Algebra (230) (SADOI Only) Q3 217 Complete Circuit Analyzer (161) (DOI Only) Q4 228 Single Circuit Analyzer (125) (DOI Only) Q5 237 Complete Circuit Analyzer (Main Program 324) R4 68 Cube Root (15) (SADOI or DOI) R5 149 Reciprocal (17) (SADOI or DOI) S2 64 Exponential (33) (SADOI or DOI) S6 300 Exponential with Scaled Exponent (30) T1 66 Sine-Cosine (30) (SADOI or DOI) T3 77 Arctangent in Degrees (15) (SADOI or DOI) T6 238 Fast Arcsin (10) (SADOI or DOI) V3 101 Sequence of Random Numbers with Optional Preparatory Interlude (6--7) V5 184 Spherical Bessel Function (59) (SADOI Only) V6 202 Associated Lengendre Functions (80) (SADOI Only) V7 206 Provide Sets of Random Numbers from 1 to N (DOI Only) V8 219 Ordinary Bessel Functions (297) (SADOI Only) V10 290 Generate a Random Normal Deviate (26 plus 10) (SADOI Only) V11 294 Modified Bessel Functions (297) (SADOI Only) V12 304 Ordinary Bessel Functions (242) (SADOI Only) V13 314 Errors Function (22) (DOI or SADOI) V14 323 Regular Spherical Bessel Functions (159(124 plus S3 and T5)) V16 326 Irregular Spherical Bessel Functions (Spherical Neumann Functions) (29) (SADOI or DOI) V17 328 Reciprocal Gamma Function for Real Argument (26) (DOI or SADOI) W1 89 Loop Cycling Control (21) (SADOI or DOI) W2 134 Word Sorting According to an Ordering Relation (25) (SADOI or DOI) X9 169 Program Interruption Routine (Without Sum Check) (34) (SADOI or DOI) X10 179 Program Interruption Routine (With Sum Check) (49) (SADOI or DOI) X11 208 Data Tape Checking for Library Routines K2-135 and K9-190 (Complete Program) (DOI Only) X13 250 Maximum Speed Sexadeciman Input Preparation (Complete Program) (SADOI Only) X14 266 Sexadeciman Punchout and Input Routine - Williams Memory and Drum (Complete Program) (SADOI Only) X15 269 Maximum Speed Sexadecimal Input Preparation for Magnetic Drum and/or Williams Memory (Complete Program) X17 287 Maximum Speed Sexadecimal Input Preparation for Magnetic Drum and/or Williams Memory with Punch Error Detection (250) X18 316 Fake End of Regular Interlude (Complete Program) Y3 201 Input Routines to Drum Memory (148) (SADOI or DOI) Y4 236 Input Routines to Drum Memory (249) (SADOI Only)