Results 31 to 40 of about 5,896,098 (374)
Matrix compression along isogenic blocks
Acta Scientiarum Mathematicarum, 2022 AbstractA matrix-compression algorithm is derived from a novel isogenic block decomposition for square matrices. The resulting compression and inflation operations possess strong functorial and spectral-permanence properties. The basic observation that Hadamard entrywise functional calculus preserves isogenic blocks has already proved to be of ...
Belton, Alexander +3 more
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Symmetric indefinite triangular factorization revealing the rank profile matrix [PDF]
, 2018 We present a novel recursive algorithm for reducing a symmetric matrix to a triangular factorization which reveals the rank profile matrix. That is, the algorithm computes a factorization $\mathbf{P}^T\mathbf{A}\mathbf{P} = \mathbf{L}\mathbf{D}\mathbf{L}^
Dumas, Jean-Guillaume, Pernet, Clement
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Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics [PDF]
Symposium on the Theory of Computing, 2018 An n-qubit quantum circuit performs a unitary operation on an exponentially large, 2n-dimensional, Hilbert space, which is a major source of quantum speed-ups.
András Gilyén +3 more
semanticscholar +1 more source
USE OF THE TREND-FACTOR MODEL TO IMPROVE THE ACCURACY FORECASTS
Статистика и экономика, 2016 In this paper we propose a method toimprove the accuracy of the trend-factormodel on the assumption that the increasein endogenous variable-screens dependnot only on time but also deviations fromtheir trend of exogenous variables, provedby the ...
Irina V. Orlova, Viktor B. Turundaevsky
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Eigenvalues of block structured asymmetric random matrices [PDF]
, 2015 We study the spectrum of an asymmetric random matrix with block structured variances. The rows and columns of the random square matrix are divided into $D$ partitions with arbitrary size (linear in $N$).
Aljadeff, Johnatan +2 more
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MATRIX SUBADDITIVITY INEQUALITIES AND BLOCK-MATRICES [PDF]
International Journal of Mathematics, 2009 We give a number of subadditivity results and conjectures for symmetric norms, matrices and block-matrices. Let A, B, Z be matrices of same size and suppose that A, B are normal and Z is expansive, i.e. Z*Z ≥ I. We conjecture that [Formula: see text] for all non-negative concave function f on [0,∞) and all symmetric norms ‖ · ‖ (in particular for all ...
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A note on the formulas for the Drazin inverse of the sum of two matrices
Open Mathematics, 2019 In this paper we derive the formula of (P + Q)D under the conditions Q(P + Q)P(P + Q) = 0, P(P + Q)P(P + Q) = 0 and QPQ2 = 0. Then, a corollary is given which satisfies the conditions (P + Q)P(P + Q) = 0 and QPQ2 = 0. Meanwhile, we show that the additive
Liu Xin, Yang Xiaoying, Wang Yaqiang
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Practical method to solve large least squares problems using Cholesky decomposition
Geodesy and Cartography, 2015 In Geomatics, the method of least squares is commonly used to solve the systems of observation equations for a given number of unknowns. This method is basically implemented in case of having number observations larger than the number of unknowns ...
Ghadi Younis
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Memory-usage advantageous block recursive matrix inverse [PDF]
Applied Mathematics and Computation, 2018 The inversion of extremely high order matrices has been a challenging task because of the limited processing and memory capacity of conventional computers. In a scenario in which the data does not fit in memory, it is worth to consider exchanging less memory usage for more processing time in order to enable the computation of the inverse which ...
Iria C.S. Cosme +3 more
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Sensors, 2015 Aiming at addressing the problem of high computational cost of the traditional Kalman filter in SINS/GPS, a practical optimization algorithm with offline-derivation and parallel processing methods based on the numerical characteristics of the system is ...
Shaoxing Hu +3 more
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