Results 11 to 20 of about 1,914,031 (237)
Bounds and optimization of the minimum eigenvalue for a vibrating system
Electronic Journal of Qualitative Theory of Differential Equations, 2013 We consider the problem of the oscillation of a string fixed at one end with a mass connected to a spring at the other end. The problem of minimizing the first eigenvalue of the system subject to a fixed total mass constraint is investigated.
Don Hinton, Maeve McCarthy
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Some new inequalities for the minimum eigenvalue of M-matrices [PDF]
Journal of Inequalities and Applications, 2015 Some new inequalities for the minimum eigenvalue of M-matrices are obtained. These inequalities improve existing results, and the estimating formulas are easier to calculate since they only depend on the entries of matrices.
Feng Wang, Deshu Sun
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Some inequalities for the minimum eigenvalue of the Hadamard product of an M-matrix and its inverse [PDF]
, 2013 In this paper, some new inequalities for the minimum eigenvalue of the Hadamard product of an M-matrix and its inverse are given. These inequalities are sharper than the well-known results.
Guanghui Cheng, Qin Tan, Zhuan-De Wang
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Maximum and Minimum First Eigenvalues for a Class of Elliptic Operators [PDF]
Proceedings of the American Mathematical Society, 1966 By the maximum principle all the X's are positive (see [l]). Bounds for the X's were established under various hypotheses by Duffin [2], Protter-Weinberg [3]. Here we want to determine if A has a maximum or a minimum and for what operator in £„ the maximum or minimum occurs. Let Ma, ma denote the maximizing and minimizing operator relative to the class
Carlo Pucci
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Minimum Eigenvalue Detection for Spectrum Sensing in Cognitive Radio
International Journal of Electrical and Computer Engineering (IJECE), 2014 Spectrum sensing is a key task for cognitive radio. Our motivation is to increase the probability of detection for spectrum sensing in cognitive radio.
Syed Sajjad Ali, Chang Liu, Minglu Jin
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Computing the Minimum Eigenvalue of a Symmetric Positive Definite Toeplitz Matrix [PDF]
SIAM Journal on Scientific and Statistical Computing, 1986 Der vorgeschlagene Algorithmus zur Berechnung des kleinsten Eigenwertes einer reellen, symmetrischen und positiv definiten Toeplitz-Matrix T der Ordnung n basiert auf einer speziellen rationalen Funktion f(\(\lambda)\), deren Nullstellen Eigenwerte der gegebenen Matrix sind.
George Cybenko, Charles Van Loan
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Bicyclic graphs for which the least eigenvalue is minimum
Linear Algebra and its Applications, 2008 AbstractThe spread of a graph is defined to be the difference between the greatest eigenvalue and the least eigenvalue of the adjacency matrix of the graph. In this paper we determine the unique graph with minimum least eigenvalue among all connected bicyclic graphs of order n.
Miroslav Petrović +2 more
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Minimum eigenvalues for positive, Rockland operators [PDF]
Proceedings of the American Mathematical Society, 1985 Let L L be a positive, Rockland operator of homogeneous degree γ \gamma . The minimum eigenvalue of d π ( L ) d\pi (L) increases as the γ \gamma th power of the homogeneous distance from the origin of the orbit corresponding to π \pi
Andrzej Hulanicki +2 more
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On completely regular codes with minimum eigenvalue in geometric graphs [PDF]
Discrete Mathematics, 2022 We prove that any completely regular code with minimum eigenvalue in any geometric graph G corresponds to a completely regular code in the clique graph of G. Studying the interrelation of these codes, a complete characterization of the completely regular
I. Mogilnykh, K. Vorob'ev
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Some applications of the new maximum-minimum theory of eigenvalues
Journal of Mathematical Analysis and Applications, 1965 Alexander Weinstein
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