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The generalized partial correlation matrix

, 1969
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Partial Matrix Refactorization

IEEE Transactions on Power Systems, 1986
Partial refactorization methods update the LDU factors of a matrix to reflect changes In some Its elements. This paper presents two new partial refactorization methods for sparse matrices. Test results Indicate that they are significantly more efficient than existing techniques, and have the potential to speed up a number of important power system ...
Sherman M. Chan, Vladimir Brandwajn
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The Partial Scatterplot Matrix

Journal of Computational and Graphical Statistics, 2000
Abstract The marginal dependence structure of a dataset y is displayed by a scatterplot matrix, a matrix whose elements are scatterplots of each pair of variables. A natural way to view the conditional dependence structure of y is through a partial scatterplot matrix, which contains scatterplots of partial residuals.
A. C. Davison, S. Sardy
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Positive Partial Transpose Matrix Inequalities

2021
In this chapter, we present some inequalities related to \(2\times 2\) block PPT matrices and positive matrices partitioned in blocks. When these positive block matrices are PPT, some nice results have been obtained, motivated by the Quantum Information Science.
Mohammad Bagher Ghaemi, Nahid Gharakhanlu, Themistocles M. Rassias, Reza Saadati   +3 more
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Partial analysis and matrix methods

International Journal of Mathematical Education in Science and Technology, 1983
Rayleigh and Buckingham's methods of dimensional analysis are reviewed and formulated in terms of matrices. The authors suggest that this formulation is easier to use in complex problems with a large number of variables.
J. J. Sharp, E. Moore
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Partial and Total Matrix Multiplication

SIAM Journal on Computing, 1981
In 1979 considerable progress was made in estimating the complexity of matrix multiplication. Here the new techniques and recent results are presented, based upon the notion of approximate rank and the observation that certain patterns of partial matrix multiplication (some of the entries of the matrices may be zero) can efficiently be utilized to ...
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Channeled partial Mueller matrix polarimetry

SPIE Proceedings, 2015
In prior work,1,2 we introduced methods to treat channeled systems in a way that is similar to Data Reduction Method (DRM), by focusing attention on the Fourier content of the measurement conditions. Introduction of Q enabled us to more readily extract the performance of the system and thereby optimize it to obtain reconstruction with the least noise ...
Andrey S. Alenin, J. S. Tyo
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Matrix treatment for partially polarized, partially coherent beams

Optics Letters, 1998
A matrix method is outlined for dealing with quasi-monochromatic, partially polarized light when spatial coherence is not necessarily complete and propagation occurs along beams. Both spatial coherence and polarization properties are described by a single 2x2 matrix whose elements have the structure of mutual intensity functions.
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