Results 11 to 20 of about 949,602 (209)
Reverse order law for outer inverses and Moore-Penrose inverse in the context of star order [version 1; peer review: 2 approved] [PDF]
F1000Research, 2022 The reverse order law for outer inverses and the Moore-Penrose inverse is discussed in the context of associative rings. A class of pairs of outer inverses that satisfy reverse order law is determined.
Manjunatha Prasad Karantha +1 more
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Numerical Range of Moore–Penrose Inverse Matrices
Mathematics, 2020 Let A be an n-by-n matrix. The numerical range of A is defined as W ( A ) = { x * A x : x ∈ C n , x * x = 1 } . The Moore–Penrose inverse A + of A is the unique matrix satisfying A A + A = A , A + A A + = A ...
Mao-Ting Chien
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Convexity of the inverse and Moore–Penrose inverse [PDF]
Linear Algebra and its Applications, 2011 Based on a re-examination of the convexity results for the inverse of positive definite matrices, and the Moore-Penrose inverse of nonnegative definite matrices, a more general concept of strong convexity is defined which provides additional information on the convexity behaviour and geometry of matrix functions known to be strictly convex.
Nordström, Kenneth, Kenneth Nordström
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The generalized Moore-Penrose inverse [PDF]
Linear Algebra and its Applications, 1992 The generalized Moore-Penrose inverse of a matrix over an integral domain with involution is defined. Necessary and sufficient conditions for the existence of this inverse are given. Uniqueness is proven and a formula given which leads toward a ``generalized Cramer's rule'' to find the generalized Moore-Penrose solution.
Manjunatha Prasad, K., Bapat, R.B.
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Generalizing the Gaussian Network Model: Spanning‐Tree Thermodynamics Shows Entropy‐Driven KRAS Activation [PDF]
Proteins: Structure, Function, and Bioinformatics, Volume 94, Issue 10, Page 1671-1685, October 2026.ABSTRACT The GTPase KRAS executes a conformational switch between a GTP‐bound active state and a GDP‐bound inactive state, a process central to oncogenic signaling. However, the structural basis of this switching at the level of residue‐contact organization remains incompletely characterized by traditional binary structural models.
Fatma Senguler Ciftci, Burak Erman
wiley +2 more sources
Moore–Penrose inverse in rings with involution [PDF]
Linear Algebra and its Applications, 2007 Let \(R\) be a ring with involution. An element \(a\in R\) is called regular if there exists an element \(b\in R\) such that \(a=aba\). A regular element \(a \in R\) is called Moore-Penrose invertible if there is an element \(a^\dag \in R\) such that \(aa^\dag a=a\), \(a^\dag aa^\dag=a^\dag\), \((aa^\dag)^*=aa^\dag\) and \((a^\dag a)^*=a^\dag a\).
Koliha, J.J. +2 more
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The Moore–Penrose Inverse and Product Decomposition of Idempotent Operators on Hilbert C*-Modules
AxiomsWe study the Moore–Penrose inverse of idempotent operators on Hilbert C*-modules. First, we extend the computation of the Moore–Penrose inverse of an idempotent operator and its difference from the range projection to this setting.
Wei Luo
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The Moore-Penrose inverse of a retrocirculant [PDF]
Linear Algebra and its Applications, 1978 AbstractIn a recent paper Chao [2] has determined the eigenvalues of a matrix of the form A=PC where P is a permutation matrix which commutes with a certain unitary matrix and C is a circulant. Here we determine the Moore-Penrose inverse of such a “retrocirculant” and show that the nonzero eigenvalues of the Moore-Penrose inverse are the reciprocals of
Smith, Ronald L.
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A characterization of the Moore-Penrose inverse [PDF]
Linear Algebra and its Applications, 1993 The inverse \(X\) of a square matrix \(A\) may be characterized as the unique matrix for which the two by two block matrix with entries \(\{A,I,I,X\}\) has the same rank as \(A\). This paper gives a generalization for singular and rectangular \(A\) using the Moore-Penrose inverse \(A^ +\).
Fiedler, Miroslav, Markham, Thomas L.
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On the covariance of the Moore-Penrose inverse [PDF]
Linear Algebra and its Applications, 1984 Let A be an \(n\times n\) matrix and T an invertible matrix of the same order. If A is invertible, then, of course, \((TAT^{-1})^{-1}=TA^{- 1}T^{-1}\) and A is covariant under the general linear group. If A is arbitrary and the inverse is replaced by the Moore-Penrose inverse then A is no longer covariant under the full linear group. Given A the author
Robinson, Donald W.
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