lower and upper bounds of matrices
On Lower and Upper Bounds of Matrices
... a lower bound does exist, and this is first obtained by Lyons in [18] for the case of l 2 with the best possible ...the lower bounds for an arbitrary non-negative matrix acting on non-increasing ...
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Bounds for Eigenvalues of Arrowhead Matrices and Their Applications to Hub Matrices and Wireless Communications
... the lower and upper bounds of the ratio of eigenvalues of arrowhead matrices associated with hub matrices and wireless com- munication systems [9], and subsequently, we make those ...
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On Lower and Upper Bounds in Smooth and Strongly Convex Optimization
... address lower bounds (see Higham and Tisseur ...panion matrices from ...deriving lower bounds on the convergence rate of optimization algorithms which employed heavy machinery from the ...
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New inequalities on eigenvalues of the Hadamard product and the Fan product of matrices
... nonnegative matrices A and B, we exhibit some new upper bounds for ρ(A ◦ B) in Section ...new lower bounds for τ (A B) of M-matrices are ...
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Chandoul
... norm bounds for the Hadamard inverse of this ...r-circulant matrices associated with a number ...some lower and upper bounds for the Euclidean and spectral norms of this ...
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On the norms of circulant and r circulant matrices with the hyperharmonic Fibonacci numbers
... r-circulant matrices. In [], Solak studied the lower and upper bounds for the spectral norms of circulant matrices with classical Fibonacci and Lucas numbers ...semicirculant ...
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Lower Bounds of Copson Type for Hausdorff Matrices on Weighted Sequence Spaces
... summability matrices H , whose rows are increasing or decreasing. Also, he gave upper bounds or lower bounds to L w p , ( ) H for such H ...
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Some New Bounds for the Hadamard Product of a Nonsingular M-matrix and Its Inverse
... nonnegative matrices and the Fan product of two M-matrices are two special matrices ...The upper bounds for the spectral radius ρ(A ◦ B) of the Hadamard product of two nonnegative ...
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On the Norms of r Toeplitz Matrices Involving Fibonacci and Lucas Numbers
... Toeplitz matrices, which have connections with signal and image processing, time series analysis and many other problems ...found lower and upper bounds for the spectral norms of Toeplitz ...
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On the norms of an r circulant matrix with the generalized k Horadam numbers
... , lower and upper bounds of the spectral norm, eigenvalues and deter- minant of r-circulant matrices for the special all second-order sequences are actually ob- ...
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Some new estimations for the upper and lower bounds for the spectral radius of nonnegative matrices
... new upper bounds on the spectral radius of the Hadamard product of two nonnegative matrices and some upper and lower bounds on the spectral radius of the iterative matrix of a ...
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Some New Results on Determinantal Inequalities and Applications
... new upper and lower bounds on determinants are presented for diagonally dominant matri- ces and general H-matrices by using different ...These bounds are some improvements of results ...
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On the spectral norms of r circulant matrices with the biperiodic Fibonacci and Lucas numbers
... r-circulant matrices whose entries are special integer se- quences ...found upper and lower bounds for the spectral norms of r-circulant matrices in the forms A = C r (F , F , F , ...
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Uniform bounds on the 1-norm of the inverse of lower triangular Toeplitz matrices
... Note from (2.1) that the upper bound is dependent on n when b = 0. The GKM conjecture and Problem 1.1 both involve the case of b = 0. However, numerical tests clearly show that T n − 1 ∞ is bounded independently ...
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Quantum SDP-Solvers: Better upper and lower bounds
... all matrices are diagonal, which is the relevant case for ...arbitrary matrices (needed for SDP-solving); the state-preparation part will be substantially more involved there, because in the general case we ...
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Upper and lower bounds of symmetric division deg index
... In the following sections we determine extremal values and extremal graphs of the SDD index in several classes of graphs (with given number of vertices): the class of all connected gra[r] ...
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Gas fired power plants: Investment timing, operating flexibility and CO2 capture
... give upper and lower bounds for the plant value. These bounds are used to calculate upper and lower bounds for the investment ...
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Lower and upper bounds of shortest paths in reachability graphs
... 5. Extended free-choice systems. In this section, we obtain an upper bound for the length of the shortest paths between two reachable markings of a live and safe extended free-choice system. It is never greater ...
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Interleave Variational Optimization with Monte Carlo Sampling: A Tale of Two Approximate Inference Paradigms
... Variational bounds and Monte Carlo methods, two important approxi- mate paradigms for this task, each has its respective strengths for solving different types of problems, but it is often non- trivial to decide ...
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Lower and Upper Bounds for the Master Bay Planning Problem
... new lower bounds and two new upper bounds which are useful to solve ...the bounds proposed, we conduct an experiment over three different sets of ...the bounds can be ...
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