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Thursday, July 23, 2020 | History

1 edition of A general method for evaluation of functions and computations in a digital computer found in the catalog.

A general method for evaluation of functions and computations in a digital computer

Milos Dragutin Ercegovac

A general method for evaluation of functions and computations in a digital computer

by Milos Dragutin Ercegovac

  • 118 Want to read
  • 13 Currently reading

Published by Dept. of Computer Science, University of Illinois at Urbana-Champaign in Urbana .
Written in English

    Subjects:
  • Computational complexity,
  • Functions,
  • Data processing

  • Edition Notes

    Other titlesA general method for evaluation of functions and computations ...
    Statementby Milos D. Ercegovac
    SeriesReport (University of Illinois at Urbana-Champaign. Dept. of Computer Science) -- no. 750, Report (University of Illinois at Urbana-Champaign. Dept. of Computer Science) -- no. 750.
    Classifications
    LC ClassificationsQA76 .I4 no. 750, QA355 .I4 no. 750
    The Physical Object
    Paginationvii leaves, 109 p. :
    Number of Pages109
    ID Numbers
    Open LibraryOL25484272M
    OCLC/WorldCa1706915

      Numerical Verification Methods and Computer-Assisted Proofs for Partial Differential Equations, () Interval-valued Data Clustering based on the Range City Block metric. IEEE International Conference on Systems, Man, and Cybernetics (SMC),   Numerical Methods provides a clear and concise exploration of standard numerical analysis topics, as well as nontraditional ones, including mathematical modeling, Monte Carlo methods, Markov chains, and fractals. Filled with appealing examples that will motivate students, the textbook considers modern application areas, such as information retrieval and animation, and classical topics Reviews: 9.

    A general hardware-oriented method for evaluation of functions and computations in a digital computer MD Ercegovac IEEE Transactions on Computers, , Return to: Top of this page. Book Reviews. Review of: Computer Arithmetic: Algorithms and Hardware Designs (B. Parhami, Oxford) Appeared in ACM Computing Reviews, Oct. (discovered by the author in August ). Reviewer: Peter Turner. Computer arithmetic (G), General (B ), Algorithms, Design. This well-organized text for a course in computer arithmetic at the senior.

      “Digital Equipment Corp. had microprocessor technology, but its business model could not profitably sell a computer for less than $50, The technology trapped in a high-cost business model had no impact on the world, and in fact, the world ultimately killed Digital. Ph.D. Dissertation: A General Method for Evaluation of Functions and Com-putations in a Digital Computer (U. of Illinois, DCS Technical Report No. , ). The Okawa Foundation: E cient Schemes for Fast Computation of Inferences in Bayesian Networks, Best paper award: M.D. Ercegovac and J.-M. Muller, Complex Square Root.


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A general method for evaluation of functions and computations in a digital computer by Milos Dragutin Ercegovac Download PDF EPUB FB2

An illustration of an open book. Books. An illustration of two cells of a film strip. Video An illustration of an audio speaker. A general method for evaluation of functions and computations in a digital computer Item Preview remove-circle Share or Embed This : A General Hardware-Oriented Method for Evaluation of Functions and Computations in a Digital Computer Abstract: A parallel computational method, amenable for efficient hardware-level implementation, is described.

It provides a simple and fast algorithm for the evaluation of polynomials, certain rational functions and arithmetic expressions Cited by: A parallel computational method, amenable for efficient hardware-level implementation, is described. It provides a simple and fast algorithm for the evaluation of polynomials, certain rational functions and arithmetic expressions, solving a class of systems of linear equations, or performing the basic arithmetic operations in a fixed-point number representation by: A General Hardware-Oriented Method for Evaluation of Functions and Computations in a Digital Computer Article (PDF Available) in IEEE Transactions on Computers C(7) Author: Milos Ercegovac.

Some digit-by-digit methods for the evaluation of the elementary functions are described. The methods involve processes that resemble repeated-addition multiplication and repeated-subtraction division. Consequently, the methods are easy to implement and the resultant execution times are short.

A fast CORDIC algorithm and the resulting VLSI architecture for the evaluation of trigonometric functions are disclosed. The new method employs signed digits to represent intermediate operands and requires a constant scaling or normalization factor which can be pre-computed and made available in read-only hardware for any desired target precision (i.e., word length).

This project proposes an automatic method for the evaluation of functions via polynomial or rational approximations and their hardware implementations, on FPGAs. The approximations are evaluated using Ercegovac's iterative E-method 1 2 adapted for state-of-the.

A general method for evaluation of functions and computations in digital computer. M.D. Ercegovac. Proc. of the 3rd IEEE Symposium on Computer Arithmetic, pagesOn-line algorithms for division and multiplication.

K.S. Trivedi and M.D. Ercegovac. Proc. of the 3rd IEEE Symposium on Computer Arithmetic, pagesThe EAI HYDAC is a hybrid computer consisting of two parts: a general purpose analog computer and the DOS, a digital operations system containing logic, storage, and interface components.

A HYDAC simulation program is an extension of the work performed on the ARAP hybrid facility with certain modified iterations. This paper treats the evaluation of one of the elementary functions on short wordlength computers. The setting is a binary fixed point short wordlength (8–16 bits) machine where the intent is to suggest improvements in ROM- or microcode-based software which include the square root function as part of a more general mathematical software library or for special computation in real-time.

Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics).Numerical analysis naturally finds application in all fields of engineering and the physical sciences, but in the 21st century also the life sciences, social sciences, medicine, business and.

Different types of data can be stored in the computer system. This includes numeric data, text, executable files, images, audio, video, etc. all Network Topology categories This book is licensed under a Creative Commons Attribution License Preface This lab manual provides an introduction to digital logic, starting with simple gates and building up to state machines.

Students should have a solid understanding of algebra as well as a rudimentary understanding of basic. Postley A Method for the Evaluation of a System of Boolean Algebraic Equations Stefan Bergman Tables for the Determination of Fundamental Solutions of Equations in the Theory of Compressible Fluids.

On the Numerical Evaluation of the Stokes* Stream Function 1. Introduction. In the study of axially symmetric problems in fluid dynamics, the Stokes' stream function, that is, the function which satisfies (LI) UZX-Uy + Uyy = 0, J ^ 0, y is of considerable interest.

This function is constant on the streamlines. such as sqrt, exp, ln, sin, cos, and more generally functions defined by power series or continued fractions. Of course, the computation of special functions is a huge topic so we have had to be selective.

In particular, we have concentrated on methods that are efficient and suitable for arbitrary-precision computations. Part VI covers function evaluation, beginning with the important special case of square-rooting and moving on to coordinate rotation digital computer, or CORDIC, algorithms, followed by general convergence and approximation methods, including the use of lookup tables.

Because a digital computer performs its computations on numbers, some method of electronically representing numbers must be used to enter data into the computer and to manipulate the data internally.

Most data representation systems that are used with digital computers require only the gross recognition of the presence or absence of data.

An analog computer or analogue computer is a type of computer that uses the continuously changeable aspects of physical phenomena such as electrical, mechanical, or hydraulic quantities to model the problem being solved.

In contrast, digital computers represent varying quantities symbolically and by discrete values of both time and amplitude. Analog computers can have a very wide range of. M.D. Ercegovac, “A general hardware-oriented method for evaluation of functions and computations in a digital computer”, PhD thesis, Dept.

of Computer Science. Universisty of Illinois at Urbana-Champaign, Google Scholar. Computer methods. Since the era of mechanical machines that played rook and king endings and electrical machines that played other games like hex (game) in the early years of the 20th century, scientists and theoreticians have sought to develop a procedural representation of how humans learn, remember, think and apply knowledge, and the game of chess, because of its daunting complexity.

CORDIC (for COordinate Rotation DIgital Computer), also known as Volder's algorithm, including Circular CORDIC (Jack E. Volder), Linear CORDIC, Hyperbolic CORDIC (John Stephen Walther), and Generalized Hyperbolic CORDIC (GH CORDIC) (Yuanyong Luo et al.), is a simple and efficient algorithm to calculate trigonometric functions, hyperbolic functions, square roots, multiplications, divisions, and.Derivations are given for each of the methods showing how the transport equation is reduced to sets of algebraic equations suitable for solution on a digital computer.

The limitations of the methods and their suitability for different classes of problems are discussed in terms of computer memory, time requirements, and accuracy.}, doi.