Results 61 to 70 of about 448,655 (204)
Notes on circulant matrices [PDF]
A note on the relation between (symmetric) circulant matrices and representations of the dihedral ...
Montaldi, James
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Determinants of binomial-related circulant matrices
Due to their rich algebraic structures and wide applications, circulant matrices have been of interest and continuously studied. In this paper, n×n complex left and right circulant matrices whose first row consists of the coefficients in the expansion of
Jantaramas Trairat +2 more
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β3‐adrenoceptor agonism exerts lung protection in a rat model of bronchopulmonary dysplasia
The β3‐adrenoceptors agonist BRL37344 promotes lung maturation, preventing the progression of experimental bronchopulmonary dysplasia. Absract Background and Purpose Bronchopulmonary dysplasia (BPD) affects premature newborns, particularly those receiving supplemental oxygen therapy.
Alessandro Pini +14 more
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Basic Properties of Circulant Matrices and Anti-Circular Matrices [PDF]
For simplicity, we adopt the following convention: i, j, k, n, l denote elements of N, K denotes a field, a, b, c denote elements of K, p, q denote finite sequences of elements of K, and M1, M2, M3 denote square matrices over K of dimension n. Next we state two propositions: (1) 1K · p = p. (2) (−1K) · p = −p.
Xiaopeng Yue, Xiquan Liang
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Exhaustive Search for Various Types of MDS Matrices
MDS matrices are used in the design of diffusion layers in many block ciphers and hash functions due to their optimal branch number. But MDS matrices, in general, have costly implementations. So in search for efficiently implementable MDS matrices, there
Abhishek Kesarwani +2 more
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Accelerating Conjugate Gradient Solvers for Homogenization Problems With Unitary Neural Operators
ABSTRACT Rapid and reliable solvers for parametric partial differential equations (PDEs) are needed in many scientific and engineering disciplines. For example, there is a growing demand for composites and architected materials with heterogeneous microstructures.
Julius Herb, Felix Fritzen
wiley +1 more source
La Jolla Circulant Weighing Matrices Repository
<p>Dataset of circulant weighing matrices I've constructed or found in the literature, along with existence results.</p>If you use this dataset, please cite it using the metadata from this ...
Gordon, Daniel M.
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Circulant matrices play an important role in solving ordinary and partial differential equations. In this paper, by using the inverse factorization of polynomial of degree n, the explicit determinants of circulant and left circulant matrix involving ...
Juan Li, Zhaolin Jiang, Fuliang Lu
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Johnson‐Lindenstrauss lemma for circulant matrices** [PDF]
AbstractWe prove a variant of a Johnson‐Lindenstrauss lemma for matrices with circulant structure. This approach allows to minimize the randomness used, is easy to implement and provides good running times. The price to be paid is the higher dimension of the target space k = O(ε−2 log3 n) instead of the classical bound k = O(ε−2 log n).
Aicke Hinrichs, Jan Vybíral
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Circulant matrices: norm, powers, and positivity [PDF]
In their recent paper "The spectral norm of a Horadam circulant matrix", Merikoski, Haukkanen, Mattila and Tossavainen study under which conditions the spectral norm of a general real circulant matrix \({\bf C}\) equals the modulus of its row/column sum.
Marko Lindner
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