**PILOT—A New Multiple Computer System**

A. L. Leiner, W. A. Notz, J. L. Smith, A. Weinberger

Pages: 313-335

DOI: 10.1145/320986.320987

The PILOT data processor is a high-speed multiple computer system, more than 100 times faster than SEAC. It contains three interconnected computers for rapid processing of data, and also contains multiple input-output channels for rapid transfer...

**Stability of the Reduction of a Matrix to Almost Triangular and Triangular Forms by Elementary Similarity Transformations**

J. H. Wilkinson

Pages: 336-359

DOI: 10.1145/320986.320988

**Note on the Practical Computation of Proper Values**

C. T. Fike

Pages: 360-362

DOI: 10.1145/320986.320989

It has been suggested by Householder [1] and by Householder and Bauer [2] that orthogonal similarity transformations of matrices are particularly stable with respect to the practical computation of proper values. It is the purpose of this note...

**A Stability Criterion for Numerical Integration**

Herbert S. Wilf

Pages: 363-365

DOI: 10.1145/320986.320990

A necessary and sufficient condition is given for the absolute stability of multipoint numerical integration formulas for differential equations. The condition is that a certain matrix of low order, whose elements are computable from the...

**Generation of Spherical Bessel Functions in Digital Computers**

Fernando J. Corbató, Jack L. Uretsky

Pages: 366-375

DOI: 10.1145/320986.320991

A method of computation for spherical Bessel functions of real and imaginary argument is given which is especially suitable for high speed digital computers. The accuracy and convergence are examined and criterion formulas are given. A procedure...

**A Comparison of Methods for Generating Normal Deviates on Digital Computers**

Mervin E. Muller

Pages: 376-383

DOI: 10.1145/320986.320992

Two methods recently developed for generating normal deviates within a computer are reviewed along with earlier proposals. A comparison of the various methods for application on an IBM 704 is given. The new direct method gives higher accuracy...

**A Family of Quadrature Formulas Which Achieve High Accuracy in Composite Rules**

A. Ralston

Pages: 384-394

DOI: 10.1145/320986.320993

A class of quadrature formulas is derived which achieve higher accuracy in composite rules (i.e., where the interval of integration is broken up into a number of subintervals) than analogous Newton-Cotes or Gaussian formulas. The cost of this...

**An Algorithm for the Determination of the Polynomial of Best Minimax Approximation to a Function Defined on a Finite Point Set**

Philip C. Curtis, Jr., Werner L. Frank

Pages: 395-404

DOI: 10.1145/320986.320994

**Logic Matrices and the Truth Function Problem**

Douglas B. Netherwood

Pages: 405-414

DOI: 10.1145/320986.320995

**Unnormalized Floating Point Arithmetic**

R. L. Ashenhurst, N. Metropolis

Pages: 415-428

DOI: 10.1145/320986.320996

Algorithms for floating point computer arithmetic are described, in which fractional parts are not subject to the usual normalization convention. These algorithms give results in a form which furnishes some indication of their degree of...

**On Computer Transcription of Manual Morse**

Charles R. Blair

Pages: 429-442

DOI: 10.1145/320986.320997

A radio telegrapher can, by operating a key, turn a transmitter on or off for any desired period. International radio-telegraph (Morse) code is predicated on controlling these parameters of key position and duration of the signal. The messages...