A generalization of the Moore-Penrose inverse related to matrix subspaces of C(nxm)
A natural generalization of the classical Moore-Penrose inverse is presented. The so-called S-Moore-Penrose inverse of a m x n complex matrix A, denoted by As, is defined for any linear subspace S of the matrix vector space Cnxm.
González Sánchez, Luis +1 more
core +1 more source
Fast Computation of Moore-Penrose Inverse Matrices
Number of pages: 5. Typo page 26 line 3: one must read W=G^+F (instead of W=G^+W, which does not make sense!)International audienceMany neural learning algorithms require to solve large least square systems in order to obtain synaptic weights.
Courrieu, Pierre
core
On the mean and dispersion of the Moore-Penrose generalized inverse of a Wishart matrix [PDF]
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, Imori, Shinpei
core
Weak MPCEP and *CEPMP inverses
We generalize the systems of equations, which introduced the MPCEP and *CEPMP inverses, using a minimal rank weak Drazin inverse and a minimal rank right weak Drazin inverse.
Mosić Dijana
doaj +1 more source
Moore-Penroseov matrični inverz, ali drugače psevdoinverz matrike, je posplošeni inverz za m×n matrike, ne nujno polnega ranga. Psevdoinverz je mogoče izračunati z različnimi metodami, v diplomskem delu pa se bom posvetil eni izmed njih, ki ne zahteva ...
Matušek, Matic
core
Numerical range for weighted Moore-Penrose inverse of tensor
This article first introduces the notion of weighted singular value decomposition (WSVD) of a tensor via the Einstein product. The WSVD is then used to compute the weighted Moore-Penrose inverse of an arbitrary-order tensor. We then define the notions of
Shekhar, Vaibhav +2 more
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The generalized Moore-Penrose inverse of the morphism with generalized factorization in category
研究范畴中态射的加权Moore-Penrose逆,利用态射广义分解的性质给出了态射加权Moore-Penrose逆存在的一些充要条件,导出了态射的加权Moore-Penrose逆的表达式,推广了态射Moore-Penrose逆的相应结果. The generalized Moore-Penrose inverse of the morphism is studied.
刘晓冀, 刘三阳
core
Effective Computation of Coupling Force Constants: Metal Carbonyls as a Test Case. [PDF]
Borgman H, Vasisth S, Grunenberg J.
europepmc +1 more source
Research on the Consensus Convergence Rate of Multi-Agent Systems Based on Hermitian Kirchhoff Index Measurement. [PDF]
Deng H, Wu T.
europepmc +1 more source
Experimental Validation of the Direct Kinematics of a Passive Stewart-Gough Platform with Modified Cardan Joints Using Integrated Absolute Linear Encoders. [PDF]
Bem M, Ude A, Nemec B.
europepmc +1 more source

