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Everything about P-matrix
Complex square matrix for which every principal minor is positive
In mathematics, a P-matrix is a complex square matrix with every principal minor is positive. A closely related class is that of -matrices, which are the closure of the class of P-matrices, with every principal minor 0. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: P-matrixA 5-minute orientation
- Skim a recent paper: The biofilm matrix: multitasking in a shared spaceInfluential work since 2022
- Pick up a classic book: P-functions and Boolean matrix factorizationThe most-reprinted book on the subject
- Read the landmark paper: CLUSTAL W: improving the sensitivity of progressive multiple sequence alignment through sequence weighting, position-specific gap penalties and weight matrix choiceCited 52,877 times
- Go sideways: M-matrixA closely related topic
- Go sideways: Tridiagonal matrixA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
CLUSTAL W: improving the sensitivity of progressive multiple sequence alignment through sequence weighting, position-specific gap penalties and weight matrix choice
A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity
A Simple, Positive Semi-Definite, Heteroskedasticity and Autocorrelation Consistent Covariance Matrix
Matrix Elasticity Directs Stem Cell Lineage Specification
Convergent and discriminant validation by the multitrait-multimethod matrix.
Learning the parts of objects by non-negative matrix factorization
The biofilm matrix
Matrix Factorization Techniques for Recommender Systems
🆕 Influential since 2022
The biofilm matrix: multitasking in a shared space
Extracellular matrix remodeling in tumor progression and immune escape: from mechanisms to treatments
Cell–extracellular matrix mechanotransduction in 3D
Photonic matrix multiplication lights up photonic accelerator and beyond
The extracellular matrix and the immune system: A mutually dependent relationship
📚 Books worth reading
P-functions and Boolean matrix factorizationAndré Thayse · 1984- 📕Advances in non-Archimedean analysisInternational Conference on p-Adic Functional Analysis (11th 2010 Université Blaise Pascal) · 2011
- 📕Rings with Polynomial Identities and Finite Dimensional Representations of AlgebrasEli Aljadeff, Antonio Giambruno · 2020
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- M-matrix In mathematics, especially linear algebra, an M-matrix is a matrix whose off-diagonal entries are less than or equal to zero (i.e., it is a Z-matrix) and…
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- Linear complementarity problem In mathematical optimization theory, the linear complementarity problem (LCP) arises frequently in computational mechanics and encompasses the well-known…
- Quaternionic eigenvalue problem In linear algebra, the quaternionic eigenvalue problem is the problem of determining the eigenvalues and eigenvectors of a matrix with quaternionic entries…
- Q-matrix In mathematics, a Q-matrix is a square matrix whose associated linear complementarity problem LCP(M,q) has a solution for every vector q. M is a Q-matrix…
- Eigendecomposition of a matrix In linear algebra, eigendecomposition (also known as eigenvalue decomposition or EVD) is a factorization of a matrix A into a canonical form given by A=QDQ−𝟣…
- Matrix decomposition In the mathematical discipline of linear algebra, a matrix decomposition or matrix factorization is a factorization of a matrix into a product of matrices…
- Singular value decomposition In linear algebra, the singular value decomposition (SVD) is a factorization of a real or complex matrix into a rotation, followed by a scaling, followed…