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  • Computer Programming and Software  (2)
  • NUMERICAL ANALYSIS  (1)
  • 1990-1994  (3)
  • 1
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    High Performance Computing at NASA (1994)
    In:  Other Sources
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    Publication Date: 2019-07-17
    Description: The speaker will give an overview of high performance computing in the U.S. in general and within NASA in particular, including a description of the recently signed NASA-IBM cooperative agreement. The latest performance figures of various parallel systems on the NAS Parallel Benchmarks will be presented. The speaker was one of the authors of the NAS (National Aerospace Standards) Parallel Benchmarks, which are now widely cited in the industry as a measure of sustained performance on realistic high-end scientific applications. It will be shown that significant progress has been made by the highly parallel supercomputer industry during the past year or so, with several new systems, based on high-performance RISC processors, that now deliver superior performance per dollar compared to conventional supercomputers. Various pitfalls in reporting performance will be discussed. The speaker will then conclude by assessing the general state of the high performance computing field.
    Keywords: Computer Programming and Software
    Type: IBM High Performance Users Forum; Sep 27, 1994; Tokyo; Japan
    Format: text
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    NASA TECHNICAL REPORTS
  • 2
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    A Fortran-90 Based Multiprecision System (1994)
    In:  Other Sources
    Details
    Publication Date: 2019-07-17
    Description: The author has developed a new version of his Fortran multiprecision computation system that is based on the Fortran-90 language. With this new approach, a translator program is not required - translation of Fortran code for multiprecision is accomplished by merely utilizing advanced features of Fortran-90, such as derived data types and operator extensions. This approach results in more reliable translation and also permits programmers of multiprecision applications to utilize the full power of the Fortran-90 language. Three multiprecision datatypes are supported in this system: multiprecision integer. real and complex. All the usual Fortran conventions for mixed mode operations are supported, and many of the Fortran intrinsics, such as SIN, EXP and MOD, are supported with multiprecision arguments. This paper also briefly describes an interesting application of this software, wherein new number-theoretic identities have been discovered by means of multiprecision computations.
    Keywords: Computer Programming and Software
    Type: RNR-94-013
    Format: text
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    NASA TECHNICAL REPORTS
  • 3
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    The fractional Fourier transform and applications (1991)
    In:  Other Sources
    Details
    Publication Date: 2019-07-12
    Description: This paper describes the 'fractional Fourier transform', which admits computation by an algorithm that has complexity proportional to the fast Fourier transform algorithm. Whereas the discrete Fourier transform (DFT) is based on integral roots of unity e exp -2(pi)i/n, the fractional Fourier transform is based on fractional roots of unity e exp -2(pi)i(alpha), where alpha is arbitrary. The fractional Fourier transform and the corresponding fast algorithm are useful for such applications as computing DFTs of sequences with prime lengths, computing DFTs of sparse sequences, analyzing sequences with noninteger periodicities, performing high-resolution trigonometric interpolation, detecting lines in noisy images, and detecting signals with linearly drifting frequencies. In many cases, the resulting algorithms are faster by arbitrarily large factors than conventional techniques.
    Keywords: NUMERICAL ANALYSIS
    Type: SIAM Review (ISSN 0036-1445); 33; 389-404
    Format: text
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    NASA TECHNICAL REPORTS
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