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Quadratic Subproduct Systems, Free Products, and Their C*-Algebras. [PDF]
Integr Equ Oper TheoryArici F, Ge Y.
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Surprisal Analysis-Based Compaction of Entangled Molecular States of Maximal Entropy. [PDF]
Entropy (Basel)Hamilton JR, Remacle F, Levine RD.
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On equivalence of algebraic and finite element formulations of prestressed bar structures. [PDF]
Sci RepPełczyński J.
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Accelerated Multisecret Sharing Scheme Using Fast Matrix Spectral Factorization. [PDF]
Entropy (Basel)Çalkavur S, Solé P, Ephremidze L.
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Towards a Tensor Product Structure-Grounded Mereology. [PDF]
Entropy (Basel)Pasqualini M, Fortin S.
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Beyond symbolic algebra with quantum picturalism. [PDF]
Front CognitDündar-Coecke S +4 more
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The Sparse Basis Problem and Multilinear Algebra
SIAM Journal on Matrix Analysis and Applications, 1995Let \(A\) be a \(k\times n\) undetermined matrix. The sparse basis problem for the row space \(W\) of \(A\) is to find a basis of \(W\) with the fewest number of nonzeros. Suppose that all the entries of \(A\) are nonzero, and that they are algebraically independent over the rational number field. Then every nonzero vector in \(W\) has at least \(n- k+
Richard A. Brualdi +2 more
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Algebraic Analysis of the Hierarchical Basis Preconditioner
SIAM Journal on Matrix Analysis and Applications, 1995Considering the standard conforming P1 approximation of two-dimensional elliptic boundary value problems, it is well known that Yserentant's hierarchical basis preconditioner results in a spectral condition number of the preconditioned stiffness matrix of order \(O((\log h^{-1})^2)\) [cf. \textit{H. Yserentant}, Numer. Math. 49, 379-412 (1986; Zbl 0608.
Howard C. Elman, Xuejun Zhang
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