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A positive-definite matrix which is not extendible
IEEE Transactions on Acoustics, Speech, and Signal Processing, 1984This note treats the problem of extendibility of a positive-definite matrix. The difference between extendibility and positive- semidefiniteness in multiple dimensions is described. The construction of a positive definite nonextendible correlation matrix is also given.
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Symmetric decomposition of a positive definite matrix
Numerische Mathematik, 1965Martin, R. S. +2 more
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The biofilm matrix: multitasking in a shared space
Nature Reviews Microbiology, 2022Hans-Curt Flemming +2 more
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Positive Definiteness, Matrix Factorization, and an Imperfect Analogy
1998The results of this section are purely algebraic, but they will prove to be of great significance in §§13–15 when we discuss linear matrix equations, reachability, and observability, and again in Part in when realization theory for time-invariant input-output systems is treated.
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Matrix product states and projected entangled pair states: Concepts, symmetries, theorems
Reviews of Modern Physics, 2021Juan Ignacio Cirac Sasturáin +2 more
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