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LeetCode——Pow(x, n)
Implement pow(x, n). 原题链接:https://oj.leetcode.com/problems/powx-n/ public double pow(double x, int n) { if(n== 0) return 1; if(n == 1) return x; if(n % 2 ==0) return pow(x*x,n/2); ...
分类:其他好文   时间:2014-11-19 11:19:53    阅读次数:135
Binary Tree Level Order Traversal
https://oj.leetcode.com/problems/binary-tree-level-order-traversal/ Given a binary tree, return the level order traversal of its nodes' values. (ie, f...
分类:其他好文   时间:2014-11-19 08:33:46    阅读次数:179
LeetCode——Multiply Strings
Given two numbers represented as strings, return multiplication of the numbers as a string. Note: The numbers can be arbitrarily large and are non-negative. 原题链接:https://oj.leetcode.com/problems...
分类:其他好文   时间:2014-11-19 01:52:17    阅读次数:141
LeetCode——Anagrams
Given an array of strings, return all groups of strings that are anagrams. Note: All inputs will be in lower-case. 原题链接:https://oj.leetcode.com/problems/anagrams/ 易位构词游戏的英文词汇是 anagram,这个词来源于有...
分类:其他好文   时间:2014-11-19 01:23:03    阅读次数:136
LeetCode——Pow(x, n)
Implement pow(x, n). 原题链接:https://oj.leetcode.com/problems/powx-n/ public double pow(double x, int n) { if(n== 0) return 1; if(n == 1) return x; if(n % 2 ==0) return pow(x*x,n/2); ...
分类:其他好文   时间:2014-11-19 01:19:41    阅读次数:157
[Bhatia.Matrix Analysis.Solutions to Exercises and Problems]ExI.3.6
If $A$ is a contraction, show that $$\bex A^*(I-AA^*)^{1/2}=(I-A^*A)^{1/2}A^*. \eex$$ Use this to show that if $A$ is a contraction on $\scrH$, then t...
分类:其他好文   时间:2014-11-19 00:10:53    阅读次数:315
[Bhatia.Matrix Analysis.Solutions to Exercises and Problems]ExI.3.1
Let $A=A_1\oplus A_2$. Show that (1). $W(A)$ is the convex hull of $W(A_1)$ and $W(A_2)$; i.e., the smallest convex set containing $W(A_1)\cup...
分类:其他好文   时间:2014-11-19 00:04:31    阅读次数:272
[Bhatia.Matrix Analysis.Solutions to Exercises and Problems]ExI.3.7
For every matrix $A$, the matrix $$\bex \sex{\ba{cc} I&A\\ 0&I \ea} \eex$$ is invertible and its inverse is $$\bex \sex{\ba{cc} I&-A\\ 0&I \ea}. \eex$...
分类:其他好文   时间:2014-11-18 23:49:24    阅读次数:217
[Bhatia.Matrix Analysis.Solutions to Exercises and Problems]ExI.2.9
(1). When $A$ is normal, the set $W(A)$ is the convex hull of the eigenvalues of $A$. For nonnormal matrices, $W(A)$ may be bigger than the convex hul...
分类:其他好文   时间:2014-11-18 23:41:26    阅读次数:243
[Bhatia.Matrix Analysis.Solutions to Exercises and Problems]ExI.2.10
(1). The numerical radius defines a norm on $\scrL(\scrH)$.
分类:其他好文   时间:2014-11-18 23:39:33    阅读次数:193
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