# minimal solutions

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## 3 matching pages

##### 1: 3.6 Linear Difference Equations
Then $w_{n}$ is said to be a recessive (equivalently, minimal or distinguished) solution as $n\to\infty$, and it is unique except for a constant factor. … …
##### 2: Bibliography S
• H. Segur and M. J. Ablowitz (1981) Asymptotic solutions of nonlinear evolution equations and a Painlevé transcendent. Phys. D 3 (1-2), pp. 165–184.
• N. Seiberg and D. Shih (2005) Flux vacua and branes of the minimal superstring. J. High Energy Phys. 2005 (01), pp. 1–37.
• R. Shail (1978) Lamé polynomial solutions to some elliptic crack and punch problems. Internat. J. Engrg. Sci. 16 (8), pp. 551–563.
• R. B. Shirts (1993a) The computation of eigenvalues and solutions of Mathieu’s differential equation for noninteger order. ACM Trans. Math. Software 19 (3), pp. 377–390.
• R. Spigler (1984) The linear differential equation whose solutions are the products of solutions of two given differential equations. J. Math. Anal. Appl. 98 (1), pp. 130–147.
• ##### 3: 3.11 Approximation Techniques
Then there exists a unique $n$th degree polynomial $p_{n}(x)$, called the minimax (or best uniform) polynomial approximation to $f(x)$ on $[a,b]$, that minimizes $\max_{a\leq x\leq b}\left|\epsilon_{n}(x)\right|$, where $\epsilon_{n}(x)=f(x)-p_{n}(x)$. … of type $[k,\ell]$ to $f$ on $[a,b]$ minimizes the maximum value of $\left|\epsilon_{k,\ell}(x)\right|$ on $[a,b]$, where … With $b_{0}=1$, the last $q$ equations give $b_{1},\dots,b_{q}$ as the solution of a system of linear equations. … that minimizesof given functions $\phi_{k}(x)$, $k=0,1,\dots,n$, that minimizes