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1
Fast estimation of diameter and shortest paths (without matrix multiplication)
January 1996
SODA '96: Proceedings of the seventh annual ACM-SIAM symposium on Discrete algorithms
Publisher: Society for Industrial and Applied Mathematics
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2
Nilpotent normal form via Carleman linearization (for systems of ordinary differential equations)
June 1991
ISSAC '91: Proceedings of the 1991 international symposium on Symbolic and algebraic computation
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3
A Bayesian weighting principle for the fundamental matrix estimation
November 2000
Pattern Recognition Letters , Volume 21 Issue 12
Publisher: Elsevier Science Inc.
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Keywords: correspondence problem, epipolar geometry, fundamental matrix, outlier rejection, stereo vision
4
Orbit-stabilizer problems and computing normalizers for polycyclic groups
July 2002
Journal of Symbolic Computation , Volume 34 Issue 1
Publisher: Academic Press, Inc.
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We present a practical algorithm to solve the orbit-stabilizer problem for subgroups of the free abelian group Zd under the action of a polycyclic group of automorphisms. As an application we obtain a practical algorithm to compute ...

5
On simultaneous congruence and norms of Hermitian Matrices
January 1991
SIAM Journal on Matrix Analysis and Applications , Volume 12 Issue 1
Publisher: Society for Industrial and Applied Mathematics
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6
A study of regularized Gaussian classifier in high-dimension small sample set case based on MDL principle with application to spectrum recognition
September 2008
Pattern Recognition , Volume 41 Issue 9
Publisher: Elsevier Science Inc.
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In classifying high-dimensional patterns such as stellar spectra by a Gaussian classifier, the covariance matrix estimated with a small-number sample set becomes unstable, leading to degraded classification accuracy. In this paper, we investigate the ...


Keywords: Classification, Covariance matrix estimation, Discriminant analysis method, Minimum description length, Regularization parameter selection
7
A Galerkin Method for Linear PDE Systems in Circular Geometries with Structural Acoustic Problems
March 1997
SIAM Journal on Scientific Computing , Volume 18 Issue 2
Publisher: Society for Industrial and Applied Mathematics
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A Galerkin method for systems of PDEs in circular geometries is presented with motivating problems being drawn from structural, acoustic, and structural acoustic applications. Depending upon the application under consideration, piecewise splines or Legendre ...


Keywords: Galerkin method, PDEs in circular geometries, structural acoustics
8
A D-optimal design of order 150
August 1998
Discrete Mathematics , Volume 190 Issue 1-3
Publisher: Elsevier Science Publishers B. V.
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9
A multigrid conjugate gradient method
December 2008
Applied Numerical Mathematics , Volume 58 Issue 12
Publisher: Elsevier Science Publishers B. V.
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In this paper, we describe a new approach to combine the conjugate gradient method and the multigrid method. This approach simultaneously constructs conjugate new correction directions based on restricted gradients. The computational amount is O(N), ...


Keywords: Multigrid, Singular perturbed problem, cg algorithm
10
A New Class of Polyphase Sequence Sets with Optimal Zero-Correlation Zones
July 2005
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences , Volume E88-A Issue 7
Publisher: Oxford University Press
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This paper proposes a new class of polyphase ZCZ (zero-correlation zone) sequence sets which satisfy a mathematical upper bound. The proposed ZCZ sequence sets are obtained from DFT matrices and unitary matrices. In addition, this paper discusses the ...


Keywords: ZCZ sequence sets, polyphase sequences, spreading sequences, spread spectrum communication, approximately synchronized CDMA
11
A programming package for some general modes of arithmetic
February 1964
Communications of the ACM , Volume 7 Issue 2
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An interpretive programming package is described for computation with operands which may be real, complex, single or double precision, or real multiple precision. It also performs operations on matrices formed from these elements. A simple language structure ...

12
Bounds on the number of affine, symmetric, and Hadamard designs and matrices
November 2000
Journal of Combinatorial Theory Series A , Volume 92 Issue 2
Publisher: Academic Press, Inc.
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13
On the quadratic convergence of the Falk-Langemeyer method
January 1991
SIAM Journal on Matrix Analysis and Applications , Volume 12 Issue 1
Publisher: Society for Industrial and Applied Mathematics
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14
Dependence of multi-dimensional array references
June 1988
ICS '88: Proceedings of the 2nd international conference on Supercomputing
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Accurate data dependence analysis is the key function in vectorizing-restructuring compilers for supercomputers. However, the data dependence analysis algorithms currently available have limitations. Those that execute quickly, such as the Banerjee Test ...

15
An approximation ratio for biclustering
September 2008
Information Processing Letters , Volume 108 Issue 2
Publisher: Elsevier North-Holland, Inc.
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The problem of biclustering consists of the simultaneous clustering of rows and columns of a matrix such that each of the submatrices induced by a pair of row and column clusters is as uniform as possible. In this paper we approximate the optimal biclustering ...


Keywords: Approximation algorithms, Biclustering, One-way clustering
16
Life: Nasty, brutish, and short
December 1987
APL '88: Proceedings of the international conference on APL
Publisher: ACM
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This paper describes a series of functions for performing Conway's game of Life [Ga70] in APL, beginning with versions that go back to the early 1970's. The paper doesn't deal with the game itself, but rather with the expressive power of various approaches, ...


Also published in:
December 1987 SIGAPL APL Quote Quad Volume 18 Issue 2
17
Output feedback LMI tracking control conditions with H∞ criterion for uncertain and disturbed T-S models
February 2009
Information Sciences: an International Journal , Volume 179 Issue 4
Publisher: Elsevier Science Inc.
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This work concerns the tracking problem of uncertain Takagi-Sugeno (T-S) continuous fuzzy model with external disturbances. The objective is to get a model reference based output feedback tracking control law. The control scheme is based on a PDC structure, ...


Keywords: Fuzzy Takagi-Sugeno models, H∞ criterion, Linear matrix inequality (LMI), Output feedback, Quadratic stability, Tracking control
18
Linear operators preserving certain equivalence relations on matrices
March 1991
SIAM Journal on Matrix Analysis and Applications , Volume 12 Issue 2
Publisher: Society for Industrial and Applied Mathematics
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19
Plenary lecture V: fundamental theory of controllability and observability of first-order matrix difference systems
February 2008
SEPADS'08: Proceedings of the 7th WSEAS International Conference on Software Engineering, Parallel and Distributed Systems
Publisher: World Scientific and Engineering Academy and Society (WSEAS)
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The theory of difference equations is much wealthier than its counterpart in differential equations. With the emergence of digital signal processing technology, the theory of difference equations assumes great importance in areas such as digital control, ...

20
Example of undecidable problems for 2-generator matrix semigroups
September 1998
Theoretical Computer Science , Volume 204 Issue 1-2
Publisher: Elsevier Science Publishers Ltd.
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Keywords: matrix problems, two-generator semigroup, undecidability
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