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)

