Results 31 to 40 of about 3,534,092 (344)
Efficient and Non-Convex Coordinate Descent for Symmetric Nonnegative Matrix Factorization [PDF]
IEEE Transactions on Signal Processing, 2015 Given a symmetric nonnegative matrix A, symmetric nonnegative matrix factorization (symNMF) is the problem of finding a nonnegative matrix H, usually with much fewer columns than A, such that A ≈ HHT.
A. Vandaele +4 more
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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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Decompositions of ideals of minors meeting a submatrix [PDF]
, 2015 We compute the primary decomposition of certain ideals generated by subsets of minors in a generic matrix or in a generic symmetric matrix, or subsets of Pfaffians in a generic skew-symmetric matrix.
Neuerburg, Kent M., Teitler, Zach
core +3 more sources
Symmetric functions and the Vandermonde matrix
Journal of Computational and Applied Mathematics, 2004 AbstractThis work deduces the lower and the upper triangular factors of the inverse of the Vandermonde matrix using symmetric functions and combinatorial identities. The L and U matrices are in turn factored as bidiagonal matrices. The elements of the upper triangular matrices in both the Vandermonde matrix and its inverse are obtained recursively. The
Oruc, HALİL, Akmaz, HK
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Symmetric multisplitting of a symmetric positive definite matrix
Linear Algebra and its Applications, 1998 AbstractA parallel symmetric multisplitting method for solving a symmetric positive system Ax = b is presented. Here the s.p.d. (symmetric positive definite) matrix A need not be assumed in a special form (e.g. the dissection form (R.E. White, SIAM J. Matrix Anal. Appl. 11 (1990) 69–82).
Zhi-Hao Cao, Zhong-Yun Liu
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Orbit Closure Hierarchies of Skew-symmetric Matrix Pencils
SIAM Journal on Matrix Analysis and Applications, 2014 We study how small perturbations of a skew-symmetric matrix pencil may change its canonical form under congruence. This problem is also known as the stratification problem of skew-symmetric matrix pencil orbits and bundles. In other words, we investigate
Andrii Dmytryshyn, B. Kågström
semanticscholar +1 more source
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
doaj
Mathematics, 2022 A non-iterative method for the difference of means is presented to calculate the log-Euclidean distance between a symmetric positive-definite matrix and the mean matrix on the Lie group of symmetric positive-definite matrices.
Xiaomin Duan +3 more
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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
openaire +5 more sources
, 1977 A particular class of regular splittings of not necessarily symmetric M-matrices is proposed. If the matrix is symmetric, this splitting is combined with the conjugate-gradient method to provide a fast iterative solution algorithm.
J. Meijerink, H. A. Vorst
semanticscholar +1 more source