Definition
A matcher is a function that returns an object with a compare key. Usually it is registered with beforeEach:
beforeEach(() => {
  jasmine.addMatchers({
  
    // Example matcher
    toBeAnything() {
      return {
        compare(actualValue, ...matcherArguments) {
           // Do some computations here ...
         
           // Return whether the actualValue matches the expectation
           return {pass: true}
         }
      }
    }
  })
})
Usage
expect(actualValue).toBeAnything(...matcherArguments)
When a matcher is invoked, Jasmine will call its compare() function with the actualValue, followed by any arguments passed to the matcher. It should process them to determine whether the expectation is fulfilled, and return an object with a pass: true/false pair.
As you can see in the linked article, the object returned by compare() supports 
  a few more options
  
    Show archive.org snapshot
  
, e.g. setting a helpful failure message.
Definition location
I suggest putting generic matchers into spec/javascripts/support/matchers/, and specific matchers into the file where they're needed.
Matcher libraries
There are some libraries that provide additional matchers to Jasmine: