Results 41 to 50 of about 2,351,945 (200)
Inverse Kinematics without matrix inversion
2008 IEEE International Conference on Robotics and Automation, 2008 This paper presents a new singularity robust and computationally efficient method for solving the inverse kinematics (IK) problem. In this method, the transformation from Cartesian space to joint space is performed in a feedback loop and as a result the new feedback inverse kinematics (FIK) law operates as a filter and does not require matrix ...
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On the Inverse of the Caputo Matrix Exponential [PDF]
Mathematics, 2019 Matrix exponentials are widely used to efficiently tackle systems of linear differential equations. To be able to solve systems of fractional differential equations, the Caputo matrix exponential of the index α > 0 was introduced. It generalizes and adapts the conventional matrix exponential to systems of fractional differential equations ...
Emilio Defez +3 more
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A Regression-Based Interpretation of the Inverse of the Sample Covariance Matrix [PDF]
, 2014 The usefulness of covariance and correlation matrices is well-known in various academic fields. Matrix inversion, if required in an analytical setting, tends to mask the intuition in interpreting the corresponding empirical or experimental results ...
Clarence C. Y. Kwan
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Spreadsheets in Education, 2022 A 1981 mathematical article by Kenneth S. Miller has considered the inverse of the sum of matrices. The ingenuity of the Miller approach is that it has reached an expression without the entanglement of the inverse of the sum of some other matrices. The
Clarence C.Y. Kwan
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The Solvability Conditions for the Inverse Eigenvalue Problem of Hermitian and Generalized Skew-Hamiltonian Matrices and Its Approximation [PDF]
, 2003 In this paper, we first consider the inverse eigenvalue problem as follows: Find a matrix A with specified eigen-pairs, where A is a Hermitian and generalized skew- Hamiltonian matrix.
白正简, Zheng-jian Bai
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Известия Томского политехнического университета: Инжиниринг георесурсов, 2019 The urgency of the research is caused by the wide application of Drazin generalized inverse matrix in the theory of finite Markov chains, in solving linear shifting system of differential equations, difference equations, problems of optimal control of ...
Hamlet Aslanyan, Sargis Simonyan
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In this note we consider the question under which conditions all entries of the matrix I-(I+X)-1 are nonnegative in case matrix X is a real positive definite matrix.Sufficient conditions are presented as well as some necessary conditions.One sufficient ...
Engwerda, J.C.
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Computing Generalized Inverse Systems using Matrix Pencil Methods [PDF]
, 2001 We address the numerically reliable computation of generalized inverses of rational matrices in descriptor state-space representation. We put particular emphasis on two classes of inverses: the weak generalized inverse and the Moore-Penrose pseudoinverse.
Varga, A., Varga, Andras
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Linear systems and determinantal random point fields. [PDF]
, 2008 Tracy and Widom showed that fundamentally important kernels in random matrix theory arise from systems of differential equations with rational coefficient.
Blower, Gordon
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On matrix convexity of the Moore-Penrose inverse
International Journal of Mathematics and Mathematical Sciences, 1996 Matrix convexity of the Moore-Penrose inverse was considered in the recent literature. Here we give some converse inequalities as well as further generalizations.
B. Mond, J. E. Pecaric
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