diagonally dominant वाक्य
उदाहरण वाक्य
मोबाइल
- Any strictly diagonally dominant matrix is trivially a weakly chained diagonally dominant matrix.
- Any strictly diagonally dominant matrix is trivially a weakly chained diagonally dominant matrix.
- This segment consists of strictly diagonally dominant ( thus nonsingular ) matrices, except maybe for A.
- These are irreducible matrices that are weakly diagonally dominant, but strictly diagonally dominant in at least one row.
- These are irreducible matrices that are weakly diagonally dominant, but strictly diagonally dominant in at least one row.
- Weakly chained diagonally dominant matrices are nonsingular and include the family of " irreducibly diagonally dominant " matrices.
- Weakly chained diagonally dominant matrices are nonsingular and include the family of " irreducibly diagonally dominant " matrices.
- *PM : Properties of diagonally dominant matrix, id = 7483-- WP guess : Properties of diagonally dominant matrix-- Status:
- *PM : Properties of diagonally dominant matrix, id = 7483-- WP guess : Properties of diagonally dominant matrix-- Status:
- This amounts to assuming that \ mathbf J _ \ sigma is diagonally dominant and solving the k th equation only for the k unknown.
- A sufficient ( but not necessary ) condition for the method to converge is that the matrix " A " is strictly or irreducibly diagonally dominant.
- As the coefficients of the discretised equation are always positive hence satisfying the requirements for boundedness and also the coefficient matrix is diagonally dominant therefore no irregularities occur in the solution.
- We say A is SDD if all of its rows are SDD . "'Weakly diagonally dominant "'( WDD ) is defined with \ geq instead.
- P-SHAKE computes and updates a pre-conditioner which is applied to the constraint gradients before the SHAKE iteration, causing the Jacobian \ mathbf J _ \ sigma to become diagonal or strongly diagonally dominant.
- *PM : proof of determinant lower bound of a strict diagonally dominant matrix, id = 9304 new !-- WP guess : proof of determinant lower bound of a strict diagonally dominant matrix-- Status:
- *PM : proof of determinant lower bound of a strict diagonally dominant matrix, id = 9304 new !-- WP guess : proof of determinant lower bound of a strict diagonally dominant matrix-- Status:
- For a matrix with polynomial entries, one sensible definition of diagonal dominance is if the highest power of q appearing in each row appears only on the diagonal . ( The evaluations of such a matrix at large values of q are diagonally dominant in the above sense .)
- Recalling that an irreducible matrix is one whose associated directed graph is strongly connected, a trivial corollary of the above is that an " irreducibly diagonally dominant matrix " ( i . e ., an irreducible WDD matrix with at least one SDD row ) is nonsingular.
- Thomas'algorithm is not stable in general, but is so in several special cases, such as when the matrix is diagonally dominant ( either by rows or columns ) or symmetric positive definite; If stability is required in the general case, Gaussian elimination with partial pivoting ( GEPP ) is recommended instead.
- Similarly, an Hermitian strictly diagonally dominant matrix with real positive diagonal entries is positive definite, as it equals to the sum of some Hermitian diagonally dominant matrix A with real non-negative diagonal entries ( which is positive semidefinite ) and xI for some positive real number x ( which is positive definite ).
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