Alternative methods for representing the inverse of linear programming basis matrices [PDF]
, 1988 Methods for representing the inverse of Linear Programming (LP) basis matrices are closely related to techniques for solving a system of sparse unsymmetric linear equations by direct methods.
Mitra, G, Tamiz, M
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Spectral analysis of large reflexive generalized inverse and Moore-Penrose inverse matrices [PDF]
, 2020 A reflexive generalized inverse and the Moore-Penrose inverse are often confused in statistical literature but in fact they have completely different behaviour in case the population covariance matrix is not a multiple of identity.
Parolya, Nestor +3 more
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Uniform bounds on the 1-norm of the inverse of lower triangular Toeplitz matrices [PDF]
, 2011 A uniform bound on the 1-norm is given for the inverse of a lower triangular Toeplitz matrix with non-negative monotonically decreasing entries whose limit is zero. The new bound is sharp under certain specified constraints.
Yuan, Y.X. +3 more
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W-weighted GDMP inverse for rectangular matrices [PDF]
, 2022 In this article, we introduce two new generalized inverses for rectangular matrices called $W$-weighted generalized-Drazin--Moore--Penrose (GDMP) and $W$-weighted generalized-Drazin-reflexive (GDR) inverses. The first generalized inverse can be seen as a
Shekhar, Vaibhav +2 more
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Completion of Matrix Inversions Using Elementary Matrix Inverse Multiplication Method [PDF]
, 2020 . Given a matrix A is ordo . Elementary matrix inverse multiplication produces inverse matrix A which is where I is an identity matrix and is an inverse matrix A.
Cipta, Hendra +2 more
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An Introduction to Predictive Processing Models of Perception and Decision‐Making
Topics in Cognitive Science, EarlyView., 2023 Abstract The predictive processing framework includes a broad set of ideas, which might be articulated and developed in a variety of ways, concerning how the brain may leverage predictive models when implementing perception, cognition, decision‐making, and motor control.
Mark Sprevak, Ryan Smith
wiley +1 more source
ON THE MEAN AND DISPERSION OF THE MOORE-PENROSE GENERALIZED INVERSE OF A WISHART MATRIX [PDF]
, 2020 The Moore-Penrose inverse of a singular Wishart matrix is studied. When the scale matrix equals the identity matrix the mean and dispersion matrices of the Moore-Penrose inverse are known. When the scale matrix has an arbitrary structure no exact results
von Rosen, Dietrich +5 more
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Properties of the inverse of a noncentral Wishart matrix [PDF]
, 2021 The inverse of a non-central Wishart matrix occurs in a variety of contexts inmultivariate statistical work, including instrumental variables (IV) regression, but there has been very little work on its properties.
Hillier, Grant +3 more
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Matrix Equation’s Reflexive and Anti-Reflexive Solutions over Quaternions
, 2022 We consider when the quaternion matrix equation AXB+CXD=E has a reflexive (or anti-reflexive) solution with respect to a given generalized reflection matrix. We adopt a real representation method to derive the solutions when it is solvable.
Yang Zhang, Xin Liu, Kaiqi Wen
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Tests of Linear Hypotheses Using a Generalized Inverse Matrix [PDF]
, 1965 16 pages, 1 article*Tests of Linear Hypotheses Using a Generalized Inverse Matrix* (Searle, S.
Searle, S. R. +3 more
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