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A positive-definite matrix which is not extendible

IEEE Transactions on Acoustics, Speech, and Signal Processing, 1984
This 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.
openaire   +2 more sources

Symmetric decomposition of a positive definite matrix

Numerische Mathematik, 1965
Martin, R. S.   +2 more
openaire   +2 more sources

The biofilm matrix: multitasking in a shared space

Nature Reviews Microbiology, 2022
Hans-Curt Flemming   +2 more
exaly  

Extracellular vesicle–matrix interactions

Nature Reviews Materials, 2023
, Jae-won Shin
exaly  

Positive Definiteness, Matrix Factorization, and an Imperfect Analogy

1998
The 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.
openaire   +1 more source

The matrix in cancer

Nature Reviews Cancer, 2021
Thomas Cox
exaly  

Matrix product states and projected entangled pair states: Concepts, symmetries, theorems

Reviews of Modern Physics, 2021
Juan Ignacio Cirac Sasturáin   +2 more
exaly  

The biofilm matrix

Nature Reviews Microbiology, 2010
Hans-Curt Flemming
exaly  

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