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Parallel Algorithms for Certain Matrix Computations

by Bruno Codenotti, Biswa N. Datta, Karabi Datta, Mauro Leoncini
"... The complexity of performing matrix computations, such as solving a linear system, inverting a nonsingular matrix or computing its rank, has received a lot of attention by both the theory and the scientific computing communities. In this paper we address some "nonclassical" matrix problems ..."
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The complexity of performing matrix computations, such as solving a linear system, inverting a nonsingular matrix or computing its rank, has received a lot of attention by both the theory and the scientific computing communities. In this paper we address some "nonclassical" matrix

Guaranteed minimumrank solutions of linear matrix equations via nuclear norm minimization,”

by Benjamin Recht , Maryam Fazel , Pablo A Parrilo - SIAM Review, , 2010
"... Abstract The affine rank minimization problem consists of finding a matrix of minimum rank that satisfies a given system of linear equality constraints. Such problems have appeared in the literature of a diverse set of fields including system identification and control, Euclidean embedding, and col ..."
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Abstract The affine rank minimization problem consists of finding a matrix of minimum rank that satisfies a given system of linear equality constraints. Such problems have appeared in the literature of a diverse set of fields including system identification and control, Euclidean embedding

Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes

by P. L. Roe - J. COMP. PHYS , 1981
"... Several numerical schemes for the solution of hyperbolic conservation laws are based on exploiting the information obtained by considering a sequence of Riemann problems. It is argued that in existing schemes much of this information is degraded, and that only certain features of the exact solution ..."
Abstract - Cited by 1010 (2 self) - Add to MetaCart
are worth striving for. It is shown that these features can be obtained by constructing a matrix with a certain “Property U.” Matrices having this property are exhibited for the equations of steady and unsteady gasdynamics. In order to construct them, it is found helpful to introduce “parameter vectors

Non-Trivial Solutions to Certain Matrix Equations

by Aihua Li, Duane Randall - Electronic Journal of Linear Algebra
"... Abstract. The existence of non-trivial solutions X to matrix equations of the form ..."
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Abstract. The existence of non-trivial solutions X to matrix equations of the form

Properly discontinuous groups on certain matrix homogeneous spaces

by Shmuel Friedland , 1994
"... Abstract. We characterize discrete groups Γ ⊂ GL(n, R) which act properly discontinuously on the homogeneous space GL(m, R)\GL(n, R). A manifold M is called a complete locally homogeneous if M = J\H/Γ. Here H is a finite dimensional Lie group, J ⊂ H its closed Lie subgroup and Γ ⊂ H is a discrete su ..."
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Abstract. We characterize discrete groups Γ ⊂ GL(n, R) which act properly discontinuously on the homogeneous space GL(m, R)\GL(n, R). A manifold M is called a complete locally homogeneous if M = J\H/Γ. Here H is a finite dimensional Lie group, J ⊂ H its closed Lie subgroup and Γ ⊂ H is a discrete subgroup which acts freely and properly discontinuously on J\H. See [Gol]. In the last thirty years there was a lot of activity in the case where J is noncompact (the nonclassical

ELA NON-TRIVIAL SOLUTIONS TO CERTAIN MATRIX EQUATIONS∗

by Aihua Li, Duane Randall, Aihua Li, Duane Randall
"... Abstract. The existence of non-trivial solutions X to matrix equations of the form F (X,A1,A2, · · ·,As) = G(X,A1,A2, · · ·,As) over the real numbers is investigated. Here F and G denote monomials in the (n × n)-matrix X = (xij) of variables together with (n × n)-matrices A1,A2, · · ·,As f ..."
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Abstract. The existence of non-trivial solutions X to matrix equations of the form F (X,A1,A2, · · ·,As) = G(X,A1,A2, · · ·,As) over the real numbers is investigated. Here F and G denote monomials in the (n × n)-matrix X = (xij) of variables together with (n × n)-matrices A1,A2, · · ·,As

The Eigenvectors of a Certain Matrix of Binomial Coefficients

by R. S. Melham, Curtis Cooper , 2000
"... ..."
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SOLUTIONS OF CERTAIN MATRIX EQUATIONS WITH APPLICATIONS TO ENGINEERING SCIENCES

by Air University, James L. Leuthauser , 1976
"... p) U’ ..."
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On Integer Matrices Obeying Certain Matrix Equations

by Jennifer Seberry , 1972
"... ..."
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Higher Order Derivatives and Norms of Certain Matrix Functions

by Sonia Raquel Ferreira Carvalho , 2014
"... ..."
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