Singularity, Wielandt’s lemma and singular values
Copyright policy )Singularity, Wielandt’s lemma and singular values
The authors obtain some upper and lower bounds for the largest and the smallest singular values of certain complex matrices based on the entries and diagonal dominance. A relationship between largest singular value of a block matrix and its block norm matrix is obtained. Numerical examples are given to demonstrate the usefulness of their results.
- University of Electronic Science and Technology of China China (People's Republic of)
- Institute of Applied Physics and Computational Mathematics China (People's Republic of)
saddle point, numerical examples, Eigenvalues, singular values, and eigenvectors, Numerical solutions to overdetermined systems, pseudoinverses, Applied Mathematics, singular value, Inequalities involving eigenvalues and eigenvectors, block matrix, Computational Mathematics, Theory of matrix inversion and generalized inverses, diagonal dominance, Wielandt's lemma
saddle point, numerical examples, Eigenvalues, singular values, and eigenvectors, Numerical solutions to overdetermined systems, pseudoinverses, Applied Mathematics, singular value, Inequalities involving eigenvalues and eigenvectors, block matrix, Computational Mathematics, Theory of matrix inversion and generalized inverses, diagonal dominance, Wielandt's lemma
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