Results 31 to 40 of about 277,976 (316)
Generalized matrix functions, determinant and permanent
پژوهشهای ریاضی, 2022 Introduction Since linear and multilinear algebra has many applications in different branches of sciences, the attention of many mathematicians has been attracted to it in recent decades. The determinant and the permanent are the most important functions
Mohammad Hossein Jafari, Ali Reza Madadi
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Symmetrical parametrizations of the lepton mixing matrix [PDF]
Physical Review D, 2011 Advantages of the original symmetrical form of the parametrization of the lepton mixing matrix are discussed. It provides a conceptually more transparent description of neutrino oscillations and lepton number violating processes like neutrinoless double beta decay, clarifying the significance of Dirac and Majorana phases.
Rodejohann, Werner +1 more
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A recursive condition for the symmetric nonnegative inverse eigenvalue problem
Revista Integración, 2017 In this paper we present a sufficient ondition and a necessary condition for Symmetri Nonnegative Inverse Eigenvalue Problem. This condition is independent of the existing realizability criteria.
Elvis Ronald Valero +2 more
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Cauchy's interlace theorem and lower bounds for the spectral radius
International Journal of Mathematics and Mathematical Sciences, 2000 We present a short and simple proof of the well-known Cauchy interlace theorem. We use the theorem to improve some lower bound estimates for the spectral radius of a real symmetric matrix.
A. McD. Mercer, Peter R. Mercer
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A New Symmetric Rank One Algorithm for Unconstrained Optimization [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2011 In this paper, a new symmetric rank one for unconstrained optimization problems is presented. This new algorithm is used to solve symmetric and positive definite matrix.
Abbas Al-Bayati, Salah Shareef
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International Journal of Mathematics and Mathematical Sciences, 2009 In this paper we present equivalent characterizations of k-Kernel symmetric Matrices. Necessary and sufficient conditions are determined for a matrix to be k-Kernel Symmetric. We give some basic results of kernel symmetric matrices.
A. R. Meenakshi, D. Jaya Shree
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Pesquimat, 2014 This work proposes the minimization of bandwidth in sparse symmetric Matrix, using genetic algorithms and an oum software, developed in MS Visual Studio 6. O.
Ricardo López Guevara
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Journal of Computational and Applied Mathematics, 1991 AbstractA significant number of matrix eigenvalue problems, quadratic or linear, are best reformulated as pencils (A, M) in which both A and M are real and symmetric. Some examples are given and then the canonical forms are re-examined to explain the role of the sign characteristic attached to real eigenvalues. In addition we examine the limitations on
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The distribution of symmetric matrix quotients
Journal of Multivariate Analysis, 2003 AbstractPhillips (J. Multivariate Anal. 16 (1985) 157) generalizes Cramer's (Mathematical Methods of Statistics, Princeton University Press, Princeton, NJ, 1946) inversion formula for the distribution of a quotient of two scalar random variables to the matrix quotient case. However, he gives the result for the asymmetric matrix quotient case. This note
Arjun K. Gupta, D. G. Kabe
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The symmetric linear matrix equation [PDF]
The Electronic Journal of Linear Algebra, 2002 In this paper sufficient conditions are derived for the existence of unique and positive definite solutions of the matrixequations X − A ∗ XA1 − ... − A ∗XAm = Q and X + A ∗ XA1 + ... + A ∗XAm = Q. In the case there is a unique solution which is positive definite an explicit expression for this solution is given.
Martine C.B. Reurings, André C. M. Ran
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