Convergence of the solution of a nonsymmetric matrix Riccati
... is a nonsingular M -matrix, or an irreducible singular M -matrix. Some relevant definitions are given below. For any matrices A, B ∈ Rm×n , we write A ≥ B(A > B) if aij ≥ bij (aij > bij ) for all i, j. We can then define positive matrices, nonnegative matrices, etc. The spectrum of a square matrix A ...
... is a nonsingular M -matrix, or an irreducible singular M -matrix. Some relevant definitions are given below. For any matrices A, B ∈ Rm×n , we write A ≥ B(A > B) if aij ≥ bij (aij > bij ) for all i, j. We can then define positive matrices, nonnegative matrices, etc. The spectrum of a square matrix A ...
Numerical methods for Vandermonde systems with particular points
... As shown in Section 4, the procedures SV and SVD have an approximated computational reduction factor of k for any 0(n2) algorithm we use for the Vandermonde system solution. The speed-up factor is 2 for SSV , SSVD. Moreover, in our experience, in addition to the advantage of lower computing time, th ...
... As shown in Section 4, the procedures SV and SVD have an approximated computational reduction factor of k for any 0(n2) algorithm we use for the Vandermonde system solution. The speed-up factor is 2 for SSV , SSVD. Moreover, in our experience, in addition to the advantage of lower computing time, th ...
Tranquilli, G.B.; (1965)On the normality of independent random variables implied by intrinsic graph independence without residues."
... of the more ceneral Basu's Theorem [7] established for any m = n ...
... of the more ceneral Basu's Theorem [7] established for any m = n ...
Linear algebra
... Use of complex numbers in quantum theory Visualization of complex numbers and Bloch Sphere. Definition and Properties of Hilbert Space. Tensor Products of vectors and operators – properties and proofs. Dirac Notation – all operations and formalisms Functions of operators Trace of a matrix Commutator ...
... Use of complex numbers in quantum theory Visualization of complex numbers and Bloch Sphere. Definition and Properties of Hilbert Space. Tensor Products of vectors and operators – properties and proofs. Dirac Notation – all operations and formalisms Functions of operators Trace of a matrix Commutator ...
