The author gives several definitions, including the definition of linear vector spaces, inner products, and Hilbert spaces. He defines linear operators and the Hilbert adjoint operator, and gives ...

Book Abstract: This book contains a detailed discussion of the matrix operation, its properties, and its applications in finding the solution of linear equations and determinants. Linear algebra is a ...

The penalty equation of LCP is transformed into the absolute value equation, and then the existence of solutions for the penalty equation is proved by the regularity of the interval matrix. We propose ...

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Richard J. Hanson, Charles L. Lawson, Extensions and Applications of the Householder Algorithm for Solving Linear Least Squares Problems, Mathematics of Computation ...

These equations arise in several fields of science, such as fluid dynamics, physics of plasmas, biological models, non-linear optics, chemical kinetics, quantum mechanics, ecological systems, ...

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Discover a modified method for solving multi-objective linear fractional programming problems. Gain flexibility in decision-making with multiple efficient solutions. Explore a numerical example and ...