Stairway to Heaven: Accumulation of Roundoff Error

Roundoff error analysis of fast DCT algorithms in fixed point arithmetic

Numerical Algorithms ◽

10.1007/s11075-007-9123-1 ◽

2007 ◽

Vol 46 (1) ◽

pp. 1-22 ◽

Cited By ~ 1

Author(s):

Katja Ihsberner

Keyword(s):

Fixed Point ◽

Error Analysis ◽

Roundoff Error ◽

Roundoff Error Analysis ◽

Fixed Point Arithmetic ◽

Point Arithmetic

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Roundoff-error reduction for evaluation of a function by polynomial approximation with error feedback in fixed-point arithmetic

IEEE Transactions on Signal Processing ◽

10.1109/78.215314 ◽

1993 ◽

Vol 41 (5) ◽

pp. 1953-1955 ◽

Cited By ~ 1

Author(s):

N. Mikami ◽

M. Kobayashi ◽

Y. Yokoyama

Keyword(s):

Fixed Point ◽

Polynomial Approximation ◽

Error Reduction ◽

Roundoff Error ◽

Error Feedback ◽

Fixed Point Arithmetic ◽

Point Arithmetic

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Certified Roundoff Error Bounds Using Bernstein Expansions and Sparse Krivine-Stengle Representations

2017 IEEE 24th Symposium on Computer Arithmetic (ARITH) ◽

10.1109/arith.2017.36 ◽

2017 ◽

Cited By ~ 3

Author(s):

Alexandre Rocca ◽

Victor Magron ◽

Thao Dang

Keyword(s):

Error Bounds ◽

Roundoff Error

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Roundoff-Error-Free Basis Updates of LU Factorizations for the Efficient Validation of Optimality Certificates

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/16m1089630 ◽

2017 ◽

Vol 38 (3) ◽

pp. 829-853 ◽

Cited By ~ 4

Author(s):

Adolfo R. Escobedo ◽

Erick Moreno-Centeno

Keyword(s):

Roundoff Error ◽

Free Basis

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Roundoff Error

Encyclopedia of Operations Research and Management Science ◽

10.1007/978-1-4419-1153-7_200725 ◽

2013 ◽

pp. 1347-1347

Keyword(s):

Roundoff Error

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Roundoff Error and Double Precision

Universitext - FORTRAN Programming ◽

10.1007/978-1-4612-9938-7_8 ◽

1977 ◽

pp. 75-82

Author(s):

William R. Fuller

Keyword(s):

Double Precision ◽

Roundoff Error

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Roundoff error analysis of algorithms based on Krylov subspace methods

BIT Numerical Mathematics ◽

10.1007/bf01731978 ◽

1996 ◽

Vol 36 (2) ◽

pp. 189-205 ◽

Cited By ~ 10

Author(s):

M. Arioli ◽

C. Fassino

Keyword(s):

Error Analysis ◽

Krylov Subspace ◽

Analysis Of Algorithms ◽

Krylov Subspace Methods ◽

Roundoff Error ◽

Subspace Methods ◽

Roundoff Error Analysis

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Roundoff Error in Computing Derivatives Using the Chebyshev Differentiation Matrix

Journal of Computational Physics ◽

10.1006/jcph.1995.1036 ◽

1995 ◽

Vol 116 (2) ◽

pp. 380-383 ◽

Cited By ~ 49

Author(s):

Alvin Bayliss ◽

Andreas Class ◽

Bernard J. Matkowsky

Keyword(s):

Roundoff Error ◽

Differentiation Matrix ◽

Chebyshev Differentiation Matrix

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2. Computer representation of numbers and roundoff error

Scientific Computing ◽

10.1515/9783110359428-003 ◽

2015 ◽

pp. 7-16

Keyword(s):

Roundoff Error ◽

Computer Representation

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Roundoff Error

Numerical Methods for Scientists and Engineers - Texts and Readings in Physical Sciences ◽

10.1007/978-93-86279-52-1_2 ◽

2012 ◽

pp. 13-58

Author(s):

H. M. Antia

Keyword(s):

Roundoff Error

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