Academic literature on the topic 'Pseudo inverse matrix'

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Journal articles on the topic "Pseudo inverse matrix"

1

Gao, Yuefeng, Jianlong Chen, Pedro Patrício, and Dingguo Wang. "The pseudo core inverse of a companion matrix." Studia Scientiarum Mathematicarum Hungarica 55, no. 3 (2018): 407–20. http://dx.doi.org/10.1556/012.2018.55.3.1398.

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The notion of core inverse was introduced by Baksalary and Trenkler for a complex matrix of index 1. Recently, the notion of pseudo core inverse extended the notion of core inverse to an element of an arbitrary index in *-rings; meanwhile, it characterized the core-EP inverse introduced by Manjunatha Prasad and Mohana for complex matrices, in terms of three equations. Many works have been done on classical generalized inverses of companion matrices and Toeplitz matrices. In this paper, we discuss existence criteria and formulae of the pseudo core inverse of a companion matrix over a *-ring. A {1,3}-inverse of a Toeplitz matrix plays an important role in that process.
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2

Zhang, Zhihua. "Pseudo-inverse multivariate/matrix-variate distributions." Journal of Multivariate Analysis 98, no. 8 (2007): 1684–92. http://dx.doi.org/10.1016/j.jmva.2006.04.002.

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3

Leonov, A. S. "The minimal pseudo-inverse matrix method." USSR Computational Mathematics and Mathematical Physics 27, no. 4 (1987): 107–17. http://dx.doi.org/10.1016/0041-5553(87)90019-x.

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4

Fang, Wang, Yang Zhen, Q. S. Kang, Shang Dong Xi, and Lin Yang Shang. "A Simulation Research on the Visual Servo Based on Pseudo-Inverse of Image Jacobian Matrix for Robot." Applied Mechanics and Materials 494-495 (February 2014): 1212–15. http://dx.doi.org/10.4028/www.scientific.net/amm.494-495.1212.

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The image Jacobian Matrix must obtain during the course of uncalibrated visual servo for classic algorithms firstly. Then the inverse of image Jacobian Matrix or pseudo-inverse of image Jacobian Matrix can be taken. But when the inverse of image Jacobian Matrix is not exist or pseudo-inverse of image Jacobian Matrix is not easy to get, the uncalibrated visual servo for robot can not realize. In this paper, a research is carried on by simulation between the classic method for uncalibrared visual servo and the strategy by computing pseudo-inverse of image Jacobian Matrix. It is conclusion that the latter not only has advantage of the performance for tracking, but also reduces computational complexity for control.
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5

Jusufi, Azir. "DRAZIN’S PSEUDO-INVERSE OF RIGHT ANGLE SINGULAR MATRIX." Математички билтен/BULLETIN MATHÉMATIQUE DE LA SOCIÉTÉ DES MATHÉMATICIENS DE LA RÉPUBLIQUE MACÉDOINE, no. 1 (2013): 49–60. http://dx.doi.org/10.37560/matbil13100049j.

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6

Olkin, Ingram. "The density of the inverse and pseudo-inverse of a random matrix." Statistics & Probability Letters 38, no. 2 (1998): 131–35. http://dx.doi.org/10.1016/s0167-7152(97)00163-6.

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7

Gao, Yuefeng, and Jianlong Chen. "The pseudo core inverse of a lower triangular matrix." Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 113, no. 2 (2017): 423–34. http://dx.doi.org/10.1007/s13398-017-0486-4.

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8

KOBAYASHI, MASAKI. "PSEUDO-RELAXATION LEARNING ALGORITHM FOR COMPLEX-VALUED ASSOCIATIVE MEMORY." International Journal of Neural Systems 18, no. 02 (2008): 147–56. http://dx.doi.org/10.1142/s0129065708001452.

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HAM (Hopfield Associative Memory) and BAM (Bidirectinal Associative Memory) are representative associative memories by neural networks. The storage capacity by the Hebb rule, which is often used, is extremely low. In order to improve it, some learning methods, for example, pseudo-inverse matrix learning and gradient descent learning, have been introduced. Oh introduced pseudo-relaxation learning algorithm to HAM and BAM. In order to accelerate it, Hattori proposed quick learning. Noest proposed CAM (Complex-valued Associative Memory), which is complex-valued HAM. The storage capacity of CAM by the Hebb rule is also extremely low. Pseudo-inverse matrix learning and gradient descent learning have already been generalized to CAM. In this paper, we apply pseudo-relaxation learning algorithm to CAM in order to improve the capacity.
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9

GÓMEZ, ALFREDO, and DAVID ROMEU. "O-LATTICES FOR RANK-DEFICIENT DISPLACEMENT FIELD MATRICES." International Journal of Modern Physics B 14, no. 10 (2000): 1129–37. http://dx.doi.org/10.1142/s0217979200001382.

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In this work the properties of O-lattices are investigated in the case where the rank of the displacement field matrix is less than three. The approaches due to Bollmann are reviewed and it is shown that one of them is equivalent to the use of the Moore–Penrose pseudo-inverse of the displacement field matrix instead of its (in this case inexistent) inverse.The geometry of the pseudo-inverse approach is discussed and a general solution in terms of the singular value decomposition is proposed.
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10

Nagarajan, Anand, S. Joseph Winston, and S. Venugopal. "Spatially Hyper-Redundant Robotic Inverse Kinematics by Discrete Link Characterization ." Applied Mechanics and Materials 592-594 (July 2014): 2204–9. http://dx.doi.org/10.4028/www.scientific.net/amm.592-594.2204.

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In this paper, a novel design of a multi-sectioned, remotely-actuated, continuum type manipulator is presented. Spatially Hyper-Redundant Robot (SHRR) is based on a continuous backbone model which is divided into four sections. In the area of hyper redundant robotics, kinematic redundant systems result in non square Jacobian matrix which requires a pseudo inverse method to inverse the matrix. A methodology has been devised to solve the Inverse Kinematics (IK) problem of SHRR by predicting the curvature values of each of the section. Redundant IK techniques like Pseudo-Inverse Method (PIM), Jacobian Transpose Method (JTM), Damped Least Squares Method (DLS) and Selectively Damped Least Squares Method (SDLS) are tested on the formulated kinematic model of SHRR using MATLAB and a comparative study has been made.
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