Servers and workstations running Linux or various versions of Windows are commonplace. Let x be any point in H , so by our assumption, x is also in H , i.e. We have a T ( x tv ) = a T x b for all t R , so x tv H for all t R . However, a T ( x tv ) = a T x t a T v , and since a T v n = 0, we will have a T ( x tv ) > b for suciently large t > 0 or suciently small t < 0. However for t large enough we will have a T ( x ta ) = a T x t b a b 2 2 > b , so x ta n H . inally, we assume a = a for some > 0 but b < b . Unformatted text preview: Convex Optimization I Summer 2013 *EE364a* *Homework* 6 *solutions* 6.2 1-, 2-, and -norm approximation by a constant vector. (b) 1-norm: the (or a) median of the coe Fcients of b .

## Ee364a homework 6 solutions

In addition, most students have access to systems located in their research areas. Unformatted text preview: *EE364a*, Winter 2014-15 Prof. Boyd *EE364a* *Homework* 2 *solutions* 3.2 Level sets of convex, concave, quasiconvex, and quasiconcave functions. Clearly along this line segment, the function is not convex.

1 2 3 Could f be convex (concave, quasiconvex, quasiconcave)? 1 1 2 3 I II Along this line the function passes through the points marked as black dots in the Fgure below.

### Ee364a homework 6 solutions

#### Ee364a homework 6 solutions

The mission of the undergraduate program in Computer Science is to develop students' breadth of knowledge across the subject areas of computer science, including their ability to apply the defining processes of computer science theory, abstraction, desn, and implementation to solve problems in the discipline. After learning the essential programming ques and the mathematical foundations of computer science, students take courses in areas such as programming ques, automata and complexity theory, systems programming, computer architecture, analysis of algorithms, artificial intellence, and applications. The Department of Computer Science (CS) operates and supports computing facilities for departmental education, research, and administration needs.

The optimization variables are the numerator and denominator coe Fcients a i , b i . DIFFERENT ESSAY TONES All *homework* is due by 5 pm in the inbox across the hall from Packard 243. All numbered exercises are from the textbook; exercises which start with ‘A’ are from the set of additional exercises posted on the textbook website.

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