In numerical analysis, the condition number of a function measures how much the output value of the function can change for a small change in the input...

In mathematics, the convergence condition by Courant–Friedrichs–Lewy (CFL) is a necessary condition for convergence while solving certain partial differential...

programming Medical condition, as a synonym for disease Medical state or condition, a patient's clinical status in a hospital Condition number, a measure of...

ill-conditioned even when the problem is not. For the problem of solving the linear equation Av = b where A is invertible, the matrix condition number κ(A−1...

\Sigma |x_{i}|/|\Sigma x_{i}|} is the condition number of the summation problem. Essentially, the condition number represents the intrinsic sensitivity...

a condition number for any matrix: cond ( A ) = ‖ A ‖ ‖ A + ‖ . {\displaystyle {\mbox{cond}}(A)=\|A\|\left\|A^{+}\right\|.} A large condition number implies...

minimum possible condition number. As the number of correlated (or multicollinear) assets in a portfolio increases, the condition number rises. At high...

conditioning, air conditioning in a vehicle Ice storage air conditioning, air conditioning using ice storage Solar air conditioning, air conditioning...

system is "singular" precisely if its condition number is infinite, and it is "ill-conditioned" if the condition number is very large. Information data loss:...

popular alternatives. The number of gradient descent iterations is commonly proportional to the spectral condition number κ ( A ) {\displaystyle \kappa...

significantly, making it unreliable as a stopping condition. This poor convergence is not explained by the condition number alone (e.g., κ 2 ( A ) = 10 6 {\displaystyle...

backward error are related by the condition number: the forward error is at most as big in magnitude as the condition number multiplied by the magnitude of...

Air conditioning, often abbreviated as A/C (US) or air con (UK), is the process of removing heat from an enclosed space to achieve a more comfortable interior...

search algorithm. Assuming the linear system is sparse and has a low condition number κ {\displaystyle \kappa } , and that the user is interested in the...

initial data multiplied by the condition number of A. For instance, if b is known to six decimal places and the condition number of A is 1000 then we can only...

A chronic condition (also known as chronic disease or chronic illness) is a health condition or disease that is persistent or otherwise long-lasting in...

most O(ε log n), where ε is the machine precision (assuming a fixed condition number, as discussed below). In comparison, the naive technique of accumulating...

solving methods. Preconditioning is typically related to reducing a condition number of the problem. The preconditioned problem is then usually solved by...

adding positive elements to the diagonals, thereby decreasing its condition number. Analogous to the ordinary least squares estimator, the simple ridge...

which reliably detects the presence of a condition, resulting in a high number of true positives and low number of false negatives, will have a high sensitivity...

domain of f. More generally, the condition can be formulated for functions between any two metric spaces. The number α {\displaystyle \alpha } is called...

distinguish classical conditioning from other forms of associative learning (e.g. instrumental learning and human associative memory), a number of observations...

the condition number of the interpolation matrix will diverge to infinity as ε → 0 {\displaystyle \varepsilon \to 0} leading to ill-conditioning of the...

of great benefit for numeric stability. One implication is that the condition number is 1 (which is the minimum), so errors are not magnified when multiplying...

A skin condition, also known as cutaneous condition, is any medical condition that affects the integumentary system—the organ system that encloses the...

Cond may refer to: Condition number, in numerical analysis cond, a conditional expression in LISP Cond, a variant spelling of conn, to control a ship's...

In mathematics and particularly in dynamical systems, an initial condition is the initial value (often at time t = 0 {\displaystyle t=0} ) of a differential...

the computed inverse to small changes in the original matrix. The condition number is computed by finding the maximum singular value divided by the minimum...

examples of ill-conditioned matrices, being notoriously difficult to use in numerical computation. For example, the 2-norm condition number of the matrix...

The International Standard Book Number (ISBN) is a numeric commercial book identifier that is intended to be unique. Publishers purchase or receive ISBNs...