algebra, a convergent matrix is a matrix that converges to the zero matrix under matrix exponentiation. When successive powers of a matrix T become small...

Every singular matrix can be written as a product of nilpotent matrices. A nilpotent matrix is a special case of a convergent matrix. A linear operator...

the Multitrait-multimethod Matrix". Psychological Bulletin, 56, 81-105. "The Multitrait-Multimethod Matrix". "Convergent and Discriminant Validity"....

Peter Richtarik (2015). "Randomized Quasi-Newton Updates are Linearly Convergent Matrix Inversion Algorithms". arXiv:1602.01768 [math.NA]. "optim function...

abstract algebra, a matrix ring is a set of matrices with entries in a ring R that form a ring under matrix addition and matrix multiplication. The set...

matrices used in mathematics, science and engineering. A matrix (plural matrices, or less commonly matrixes) is a rectangular array of numbers called entries...

M1 ≤ A ≤ M2. Every regular splitting of A is convergent. Stability There exists a positive diagonal matrix D such that AD + DAT is positive definite. A...

}} that extends the usual limits. Convergence of random variables Convergent matrix Limit in category theory Direct limit Inverse limit Limit of a function...

In linear algebra, a Vandermonde matrix, named after Alexandre-Théophile Vandermonde, is a matrix with the terms of a geometric progression in each row:...

the mathematical discipline of matrix theory, a Jordan matrix, named after Camille Jordan, is a block diagonal matrix over a ring R (whose identities...

convergent is formed by multiplying the numerator of the second convergent by the third coefficient, and adding the numerator of the first convergent...

tridiagonal matrix with pairs of nearly, but not exactly, equal eigenvalues Convergent matrix — square matrix whose successive powers approach the zero matrix Algorithms...

spectral radius of D, and thus D is a convergent matrix. As a consequence, the iterative method (5) is necessarily convergent. If, in addition, the splitting...

DEFENG (2006). "A quadratically convergent Newton method for computing the nearest correlation matrix". SIAM J. Matrix Anal. Appl. 28 (2): 360–385. doi:10...

series is said to be semi-convergent (or conditionally convergent) if it is convergent but not absolutely convergent. Semi-convergent series were studied by...

1995.tb00881.x. Campbell D. T. (1959). "Convergent and discriminant validation by the multitrait-multimethod matrix". Psychological Bulletin. 56 (2): 81–105...

infinite bounded sequence in R n {\displaystyle \mathbb {R} ^{n}} has a convergent subsequence. An equivalent formulation is that a subset of R n {\displaystyle...

decomposition of a Hermitian, positive-definite matrix into the product of a lower triangular matrix and its conjugate transpose, which is useful for...

multitrait-multimethod (MTMM) matrix is an approach to examining construct validity developed by Campbell and Fiske (1959). It organizes convergent and discriminant...

and this matrix is called the iteration matrix. An iterative method with a given iteration matrix C {\displaystyle C} is called convergent if the following...

in Lie algebraic terms, that is, as a formal series (not necessarily convergent) in X {\displaystyle X} and Y {\displaystyle Y} and iterated commutators...

limit) assigns values to some infinite sums that are not necessarily convergent in the usual sense. The Cesàro sum is defined as the limit, as n tends...

method is a linear sequence transformation that preserves the limits of convergent sequences. The linear sequence transformation can be applied to the divergent...

the use of such approximations. If the Taylor series of a function is convergent, its sum is the limit of the infinite sequence of the Taylor polynomials...

the (n + 1)-st convergent can be found from the recurrence relation φn+1 = 1 + 1 / φn. The matrix formed from successive convergents of any continued...

Cochrane. 1959, with Donald W. Fiske, "Convergent and discriminant validation by the multitrait-multimethod matrix, In: Psychological Bulletin 56/1959 No...

of length k. (Equivalently, this vector might be described as a (k × 1)-matrix.) The vector is modelled as a linear function of its previous value. The...

is not necessary to have a strongly connected social network to have convergent beliefs, however, the equality of limiting beliefs does not hold in general...

formulated in terms of sequential compactness (the possibility of selecting a convergent subsequence). Let X be the space G L n ( R ) / G L n ( Z ) {\displaystyle...

bounded real sequence ( x n ) {\displaystyle (x_{n})} is said to be almost convergent to L {\displaystyle L} if each Banach limit assigns the same value L {\displaystyle...